exploration and extraction in a duopoly exhaustible resource market exploration for an exhaustible natural resource is valuable because it produces information about the resource stock i model a duopoly exhaustible resource industry with imperfect information about stock size as a two period game where each period is made up of an exploration stage and an extraction stage i derive the value of gaining information about stock size prior to committing to an extraction plan both for the exploring firm and for the rival i show that an exploring firm would prefer on average to keep exploration information private but that industry profit is higher when information is made public le processus d e xploration et d extraction dans un marche de ressource naturelle non renouvelable oui il y a un duopole le processus d exploration est utile parce qu il permet de produire des renseignements quant a la taille du stock d une ressource naturelle non renouvelable l auteur examine un modele de duopole dans un jeu a deux p6riodes pour une industrie de ressource naturelle non renouvelable l information est imparfaite quant a la taille du stock de resource et chacune des deux p6riodes a un stage d exploration et un stage d extraction l auteur d6rive la valeur de l information additionnelle qujant a la taille du stock de ressource avant de s etngager dans un plan d extraction a la fois pour l entreprise exploratrice et pour l entreprise rivale on montre que l enterprise exploratrice va pr6f6rer en moyenne garder l information priv6e mais que les profits dans l industrie sont plus 6lev6s quand l information est rendue publique

clearing and pricing for coordinated gas and electricity day ahead markets considering wind power uncertainty natural gas and electricity systems are becoming increasingly strongly coupled gas fired units gfus are replacing retired coal plants and the power systems are more dependent on the flexibilities provided by gfus the gfus power generation capability relies on the availability of gas resources which is jointly determined by the capacity of gas suppliers and pipeline networks however the gas and electricity markets are operated separately consequently the gfus are forced to represent the entire power system to bid on the gas market they must make forecasts regarding future gas consumption and bear the risk of improper contracts or being unable to meet generation schedules due to occasional insufficient gas supply when facing larger shares of renewable energies and more frequent gas network congestions the current market framework is particularly unreliable and inefficient as well as economically unfriendly to the investors of the gfu assets in this paper we try to develop a framework that can combine the two markets by properly pricing the scarce resources e g gas transmission capacity the joint market can help us to allocate the resources more efficiently while satisfying the demands moreover a more forward looking day ahead market clearing framework is presented by considering the uncertainty brought by renewable energies the formulation and algorithm of the proposed joint market model will be presented as are some case studies

an experiment on the value of structural information in a 2 2 repeated game abstract in a repeated 2 2 cooperation game providing subjects with little information impedes cooperation providing subjects with little more information prior to playing the game leads to almost sure cooperation this result stands in contrast to predictions from adaptive as well as almost optimal learning rules

exhaustible resources a theory of exploration the paper presents a theory of exploration for exhaustible resources exploration serves both to find new reserves and obtain information about potential reserves although any realized time path of the resource price fails to obey the hotelling rule the expected resource price does increase exponentially through time at the rate of discount we obtain sharper results when the resource is assumed to be distributed randomly throughout the exploration region and follows a poisson process with parameter a consumption and exploration decisions are investigated for both the case where a is known and the case where a is unknown

the pricing of durable exhaustible resources partial or total durability characterizes a large class of exhaustible resources hotelling s r percent rule will apply to a durable resource produced in a competitive market but will not apply if the resource is produced in a monopolistic market however the r percent rule does not mean that price is steadily rising it is shown that in general the competitive market price will fall initially as the stock in circulation increases and later will rise as the stock decreases and eventually depreciates toward zero after production ceases accounting for durability may thus help explain the u shaped long term price profiles observed for many resources 11 references 3 figures

pricing for system security power tariffs security in power systems refers to the ability of the system to withstand imminent disturbances contingencies maintaining security is an issue which must be addressed at the system level it is shown in this paper however that it is possible to maintain power system security in an operating environment with many participants power companies independent power producers co generators consumers each attempting to optimize their own benefit through pricing incentives and appropriate information exchange rates for power generation consumption and for an offer to use during a contingency as well as information on the probability distribution of contingency need for each participant are derived so that individual optimization will lead to the socially optimal solution in which power system security is optimized and the aggregate benefit is maximized

the private and social value of information exploration for exhaustible resources abstract in this paper i develop a model where exploration yields information about the size and location of the stock of an exhaustible resource this information is valuable in two ways first before production takes place reserves must be located through exploration the process of exploration changes unproven reserves which cannot be produced into proven reserves which can one value of exploration then is that it allows total production over time to expand the expansion effect second by exploring in an early time period a producer gains information about the true stock size prior to making a decision about how fast to exploit reserves with better information the extraction rate chosen by the producer will yield higher expected returns from the stock the timing effect i show that the expansion effect is undervalued by a firm relative to a social planner an increase in proven reserves increases production and lowers prices improving consumer welfare the timing effect however can be over or undervalued by a firm relative to a social planner if the exploring firm makes up a relatively small portion of industry and if consumers are not highly risk averse then the firm will overvalue the timing effect as a result firms may not explore some tracts where it is efficient to do so if however a firm finds it valuable to explore a tract it may explore earlier in time than is optimal

market clearing with stochastic security part i formulation the first of this two paper series formulates a stochastic security constrained multi period electricity market clearing problem with unit commitment the stochastic security criterion accounts for a pre selected set of random generator and line outages with known historical failure rates and involuntary load shedding as optimization variables unlike the classical deterministic reserve constrained unit commitment here the reserve services are determined by economically penalizing the operation of the market by the expected load not served the proposed formulation is a stochastic programming problem that optimizes concurrently with the pre contingency social welfare the expected operating costs associated with the deployment of the reserves following the contingencies this stochastic programming formulation is solved in the second companion paper using mixed integer linear programming methods two cases are presented a small transmission constrained three bus network scheduled over a horizon of four hours and the ieee reliability test system scheduled over 24 h the impact on the resulting generation and reserve schedules of transmission constraints and generation ramp limits of demand side reserve of the value of load not served and of the constitution of the pre selected set of contingencies are assessed

the concept of natural capital the natural environment is now commonly viewed as a form of capital asset or natural capital also included are ecosystems that provide important goods and services to the economy managing natural capital has consequences for sustainable development however there are contrasting weak versus strong sustainability views which in turn have implications for green accounting natural resource based sovereign wealth funds have emerged as key financial instruments for compensating resource depreciation with greater economy wide investments recent scientific evidence recommends demarcating safe operating spaces to limit exploitation of critical global biophysical subsystems or processes these challenges suggest that the concept of natural capital is pivotal to sound policy

is hotelling s rule relevant to domestic oil production a model of oil supply from known reserves is developed to incorporate geological and engineering principles in the oil field operator s decision problem oil production from existing wells within an oil field is isolated from the drilling of new wells the geo engineering

a microeconometric test of the theory of exhaustible resources abstract this paper generalizes extant developments of the economic theory of exhaustible resource production derives and extends a halvorsen and smith 1991 quarterly journal of economics 106 123 140 type test of the theory and applies the test to a sample of natural gas resources to facilitate our empirical test we extend the model developed in chermak and patrick 1995 journal of environmental economics and management 28 174 189 to explicitly account for the fact that the extracted resource gross product must be processed to obtain the final saleable product duality theory is used to derive econometric models with which the theory is statistically tested using panel data from 29 natural gas wells shadow prices of the resource stock through time which are generally unobservable but necessary for the test are estimated via the indirect cost function contrary to the extant literature we find inter alia that i at any point in time ceteris paribus the in situ resource price a decreases with gross production and b increases with final production and ii we cannot reject the theory of exhaustible resources i e producer behavior is consistent with the theory

distributed stochastic market clearing with high penetration wind power integrating renewable energy into the modern power grid requires risk cognizant dispatch of resources to account for the stochastic availability of renewables toward this goal day ahead stochastic market clearing with high penetration wind energy is pursued in this paper based on the dc optimal power flow opf the objective is to minimize the social cost which consists of conventional generation costs end user disutility as well as a risk measure of the system re dispatching cost capitalizing on the conditional value at risk cvar the novel model is able to mitigate the potentially high risk of the recourse actions to compensate wind forecast errors the resulting convex optimization task is tackled via a distribution free sample average based approximation to bypass the prohibitively complex high dimensional integration furthermore to cope with possibly large scale dispatchable loads a fast distributed solver is developed with guaranteed convergence using the alternating direction method of multipliers admm numerical results tested on a modified benchmark system are reported to corroborate the merits of the novel framework and proposed approaches

a stochastic electricity market clearing formulation with consistent pricing properties we argue that deterministic market clearing formulations introduce arbitrary distortions between day ahead and expected real time prices that bias economic incentives we extend and analyze a previously proposed stochastic clearing formulation in which the social surplus function induces penalties between day ahead and real time quantities we prove that the formulation yields price bounded price distortions and we show that adding a similar penalty term to transmission flows and phase angles ensures boundedness throughout the network we prove that when the price distortions are zero day ahead quantities equal a quantile of their real time counterparts the undesired effects of price distortions suggest that stochastic settings provide significant benefits over deterministic ones that go beyond social surplus improvements we propose additional metrics to evaluate these benefits

reserve requirements to efficiently manage intra zonal congestion the security constrained unit commitment problem schedules power generators to minimize cost subject to operating constraints reserve requirements ensure that reserve is available to re balance the system following a contingency but do not guarantee reliability in congested systems where reserve activation is limited by transmission constraints operators improve reserve deliverability by limiting power flows and controlling the location of reserves zones are used to address inter zonal congestion but operators lack efficient ways to handle intra zonal congestion we propose dynamically relating minimum reserve levels to transmission stress in a computationally efficient approach that complements existing reserve models from the literature analysis on the ieee rts 96 test case demonstrates the approach can mitigate intra zonal congestion more economically than traditional reserve policies

do oil producers act as oil igopolists in this paper the author analyzes an oligopoly model of exhaustible resource extraction and develop predictions about relative extraction patterns of different producers using the open quote oil close quote igopoly model of loury one can show that producers with large stocks produce a larger amount but a smaller percentage of their stocks than producers with small stocks the authors extend loury s model to cases where extraction costs differ among producers and where costs are a function of cumulative extraction an increase in extraction costs for a producer causes it to produce less relative to its rivals when extraction costs rise with cumulative extraction producers with large reserves tend to have lower extraction costs and a smaller ratio of cumulative production to initial reserves than producers with small reserves the authors test the predictions of the model using oil industry data and find that the empirical results are consistent with the predictions of open quotes oil close quotes igopoly theory producers with larger reserves extract a smaller share of their reserves and have lower production costs than producers with smaller reserves this pattern holds for 73 countries with oil reserves during the time period 1970 1989 and for approximately 400 us oil companies in 1983 and 1984 more the observed pattern of production for both opec and non opec producers is consistent with open quote oil close quote igopoly theory opec producers do not appear to restrain production given their level of reserves relative to non opec producers thus viewing the oil market as containing one dominant firm opec with a competitive fringe may be misleading further the pattern of extraction observed in oil markets is inconsistent with the pattern predicted by competitive theory 29 refs 5 figs 6 tabs less

stochastic security for operations planning with significant wind power generation in their attempt to cut down on greenhouse gas emissions from electricity generation several countries are committed to install wind power generation up to and beyond the 10 20 penetration mark however the large scale integration of wind power represents a challenge for power system operations planning because wind power 1 cannot be dispatched in the classical sense and 2 its output varies as weather conditions change this warrants the investigation of alternative short term power system operations planning methods capable of better coping with the nature of wind generation while maintaining or even improving the current reliability and economic performance of power systems to this end this paper formulates a short term forward electricity market clearing problem with stochastic security capable of accounting for nondispatchable and variable wind power generation sources the principal benefit of this stochastic operation planning approach is that when compared to a deterministic worst case scenario planning philosophy it allows greater wind power penetration without sacrificing security

optimal response of a power generator to energy agc and reserve pool based markets the electric power industry all over the world is undertaking major regulatory and operational changes the understanding of power supply as a public service is being replaced by the notion that competitive markets constitute a more appropriate framework to supply reliable and cheap electric energy to consumers as mandated by ferc orders 888 and 889 this paper considers simultaneously energy agc and reserve markets in a pool framework it provides a tool to enable a power generator to determine optimally its degree of involvement in each one of these markets a real world case study is analyzed and results are presented

uncertainty management in the unit commitment problem uncertainty in power systems operations has been traditionally managed by multistage decision making and operating reserve requirements a familiar example of multistage decisions is day ahead unit commitment and real time economic dispatch an alternate approach for managing uncertainty is a stochastic formulation which allows the explicit modeling of the sources of uncertainty this paper compares stochastic and reserve methods and evaluates the benefits of a combined approach for the efficient management of uncertainty in the unit commitment problem numerical studies show that unit commitment solutions obtained for the combined approach are robust and superior with respect to the traditional approach in terms of both economics and reliability metrics

market clearing with stochastic security part ii case studies this paper analyzes the market clearing formulation with stochastic security developed in its companion paper through two case studies solved using mixed integer linear programming techniques the generation and reserve schedules as well as the nodal prices of energy and security are assessed under various conditions such as a line flow limits b when nonspinning reserve is excluded from the formulation c demand side valuation of energy not served d generator ramping limits and e the set of pre selected contingencies

two stage stochastic programming model for market clearing with contingencies planning for contingencies typically results in the use of more expensive facilities before disruptions it leads to different prices and energy availability at various network locations depending on how the contingency analysis is performed in this paper we present a two stage stochastic programming model for incorporating contingencies the model is computationally demanding and made tractable by using an interior point log barrier method coupled with benders decomposition the second stage optimal recourse function rf defines the most economically efficient actions in the post contingency state for returning the system back to normal operating conditions the approach is illustrated with for two examples small with 8 buses 11 branches and ieee medium scale with 300 buses 411 branches

on the portents of peak oil and other indicators of resource scarcity economists have studied various indicators of resource scarcity but largely ignored the phenomenon of peaking due to its connection to non economic physical theories of resource exhaustion i consider peaking from the economic point of view where economic forces determine the shape of the equilibrium extraction path within that framework i ask whether the timing of peak production reveals anything useful about scarcity i find peaking to be an ambiguous indicator if someone announced the peak would arrive earlier than expected and you believed them you would not know whether the news was good or bad however i also show that the traditional economic indicators of resource scarcity price cost and rent fare no better and argue that previous studies have misconstrued the connection between changes in underlying scarcity and movements in these traditional indicators

discussion of scheduling of spinning reserve considering customer choice on reliability the authors proposed a market model in which the energy and spinning reserve are cleared sequentially the experience has shown that this kind of market model can lead to quite undesirable situations such as price reversal problem the case of the pre 2001 california electricity market is the best example moreover by using sequential market clearing enough capacity may not be brought into the reserve market as a result post clearing market ad hoc manipulations would be required to turn on enough extra units to meet reliability targets lastly ignoring the coupling that exists between the energy and the reserve scheduling can lead to suboptimal or infeasible results

resource curse or not a question of appropriability this thesis presents three self contained essays focusing on empirical questions in growth and development economics each article addresses specific questions on why countries perform differently in particular i analyse the effect of democracy on economic development the relationship between natural resources and growth and the efficiency of foreign development assistance in the first essay democracy consolidation and growth i analyse the effect of democracy on economic growth in this context i argue that an important aspect to consider is how consolidated political systems are put simply i find that it is not only a question of how democratic countries are but also how long they have been democratic in other words economic performance tends to improve with the duration of uninterrupted democracy the performance of autocracies on the other hand tends to deteriorate over time however for newly established political systems there seems to be a cost of being democratic this implies that democracies only bear their fruit after some time the analysis has important policy implications to overcome initial straits international assistance focused on democratic consolidation may be important and a very good investment in fostering long run development the second essay resource curse or not a question of appropriability together with anne boschini and jesper roine is concerned with the relation between natural resources and economic development for most laymen as well as for most economists it would seem reasonable that countries richly endowed in natural resources also benefit from this wealth however a large literature has found a systematic negative effect of natural resource abundance on economic growth we suggest that this so called resource curse is not determined by resource endowments alone but rather by the interaction between the type of resources a country possesses and the quality of institutions in the country this combination of factors determines what we call the appropriability of a resource the concept of appropriability captures the likelihood of natural resources leading to rentseeking corruption or conflicts which in turn will harm economic development our results suggest that if institutions are good enough the curse may be turned into a blessing this may explain why some countries such as norway and botswana tend to benefit from their resources while others such as angola and sierra leone do not the third and final essay of this thesis foreign sectoral aid fungibility growth and poverty reduction is a contribution to the aid efficiency literature which is concerned with the question of whether aid helps or hinders economic development foreign development assistance is often targeted on specific public expenditure sectors if this aid is not used in the sector for which it was granted e g health education it is said to be fungible and donors may end up financing something completely different from what they intended e g military expenditures the major concern about sectoral fungibility is that the alternative use of aid may be less productive or less socially useful however measuring fungibility is not sufficient to determine whether foreign sectoral aid fungibility is actually harmful what is important is how the funds treated as fungible are used the essay starts by obtaining estimates of fungibility for 57 countries the results suggest that sectoral aid is indeed largely treated as fungible by recipient countries next to assess the economic and health effects of fungibility these estimates are incorporated into an empirical model of aid and growth as well as into a model of aid and infant mortality altogether i find no evidence of more fungible sectoral aid leading to worse performance

risk constrained self scheduling of hydro wind units for short term electricity markets considering intermittency and uncertainty abstract in view of the intermittency and uncertainty associated with both the electricity production sector of restructured power system and their competitive markets it is necessary to develop an appropriate risk managing scheme so that it is desirable to trade off between optimum utilization of intermittent generation resources i e renewable energy resources uncertain market prices and related risks in order to maximize participants benefits and minimize the corresponding risks in the multi product market environment the main goal of this paper is to investigate risk management by introducing a novel multi risk index to quantify expected downside risk edr which is caused by both the wind power and market price uncertainties value at risk var method is used to assess the mentioned risk issue by the proposed weighted edr so that an optimal trade off between the profit and risk is made for the system operations also the roulette wheel mechanism is employed for random market price scenario generation wherein the stochastic procedure is converted into its respective deterministic equivalents moreover the autoregressive integrated moving average arima model is employed to characterize the stochastic wind farm wf generation by predetermined mean level and standard deviation of wind behavior as well as temporal correlation the problem is formulated as a mixed integer stochastic framework for a hydro wind power system scheduling and tested on a generation company genco

the management of fragile resources a long term perspective excessive exploitation diminishes the capacity of natural resources to withstand environmental stress increasing their vulnerability to extreme conditions that may trigger abrupt changes the onset of such events depends on the coincidence of random environmental conditions and the resource state determining its resilience examples include species extinction ecosystem collapse disease outburst and climate change induced calamities the policy response to the catastrophic threat is measured in terms of its effect on the long term behavior of the resource state to that end the l methodology developed originally to study autonomous systems is extended to non autonomous problems involving catastrophic threats

price scarcity rent and a modified r per cent rule for non renewable resources since hotelling s seminal paper on the optimal depletion of exhaustible resources much has been published yet confusion remains about whether scarcity rent and price increase or decrease as a resource is depleted when costs tend to rise with depletion we show that hotelling s fundamental results of rising scarcity rent and price paths are sustained and that the path of scarcity rent converges on the r per cent rule provided the objective function is concave predictions of non monotonic or declining scarcity rent paths are due to implicit assumptions that lead to a non concave objective function we identify the sources of these non concavities jel classification q30 d90 c60 prix rente de rarete et une regle modifiee du r pourcent pour les ressources non renouvelables malgre la volumineuse litterature specialisee qui a fleuri depuis qu hotelling a ecrit son memoire fondateur sur l epuisement optimal des ressources renouvelables une grande confusion regne toujours quand il faut etablir si la rente de rarete et le prix augmentent ou chutent a proportion que la ressource s epuise quand les couts tendent a croitre avec l epuisement ce memoire montre que les resultats fondamentaux obtenus par hotelling quant aux sentiers de croissance de la rente de rarete et du prix tiennent toujours et que le sentier de croissance de la rente de rarete converge vers la regle du r pourcent pourvu que la fonction objective soit concave les predictions de sentiers de croissance non monotone ou de declin de la rente de rarete presentees dans la litterature specialisee sont attribuables a des postulats implicites qui engendrent une fonction objective non concave les auteurs identifient les sources de ces non concavites

optimal transition to backstop substitutes for nonrenewable resources abstract we analyze the optimal transition from a primary nonrenewable resource to a backstop substitute for a class of problems characterized by the property that the backstop cost decreases continuously as learning from r d efforts accumulates to increase the knowledge base the transition policy consists of the r d process and of the time profiles of the primary and backstop resource supply rates we find that the optimal r d process follows a most rapid approach path mrap the knowledge process associated with r d should approach some endogenously derived target process as rapidly as possible and proceed along it thereafter thus if the initial knowledge level is sufficiently low and the cost structure justifies r d activities the r d efforts should be initiated without delay at the highest affordable rate and slow down later on this pattern contrasts previous findings that typically recommend a single humped r d process with a possible initial delay

a note on uncertainty and the hotelling rule abstract in this paper we derive the hotelling rule of optimal natural resource depletion modified to account for uncertainty in rates of return it is shown that in the presence of risk aversion the rule implies that the expected equilibrium rate of increase of net resource price must equal the expected rate of interest if and only if there exists a zero covariance between the marginal utility of consumption and the difference between the rate of net price increase and the rate of interest the sign of this covariance is an empirical question as an example illustrates

benefits and challenges of electrical demand response a critical review advances in it control and forecasting capabilities have made demand response a viable and potentially attractive option to increase power system flexibility this paper presents a critical review of the literature in the field of demand response providing an overview of the benefits and challenges of demand response these benefits include the ability to balance fluctuations in renewable generation and consequently facilitate higher penetrations of renewable resources on the power system an increase in economic efficiency through the implementation of real time pricing and a reduction in generation capacity requirements nevertheless demand response is not without its challenges the key challenges for demand response centre around establishing reliable control strategies and market frameworks so that the demand response resource can be used optimally one of the greatest challenges for demand response is the lack of experience and the consequent need to employ extensive assumptions when modelling and evaluating this resource this paper concludes with an examination of these assumptions which range from assuming a fixed linear price demand relationship for price responsive demand to modelling the highly diverse distributed and uncertain demand response resource as a single centralised negative generator adopting fixed characteristics and constraints

three or two stage stochastic market clearing algorithm as the power industry considers moving from a deterministic paradigm to a stochastic one to clear the day ahead market in systems with significant stochastic production the following question arises how should a stochastic clearing algorithm be formulated our analyses indicate that a three stage stochastic approach is clearly superior to a two stage one to show this we propose a model that includes three stages the first one represents the day ahead market the second stage the intraday market and the third one the real time operation the objective is to clear the day ahead market but with a prognosis of the future the intraday market and the real time operation to assess the impact of the intraday market on the day ahead outcomes we compare the results obtained from the proposed model with those of a simpler but more common two stage model which represents the day ahead market and the real time operation

the robustness of equilibria to incomplete information a number of papers have shown that a strict nash equilibrium action profile of a game may never be played if there is a small amount of incomplete information see for example carlsson and van damme 1993a we present a general approach to analyzing the robustness of equilibria to a small amount of incomplete information a nash equilibrium of a complete information game is said to be robust to incomplete information if every incomplete information game with payoffs almost always given by the complete information game has an equilibrium which generates behavior close to the nash equilibrium we show that many games with strict equilibria have no robust equilibrium and examine why we get such different results from existing refinements if a game has a unique correlated equilibrium it is robust a natural many player many action generalization of risk dominance is a sufficient condition for robustness

is being flexible advantageous for demands this paper analyzes the impacts of flexible demands on day ahead market outcomes in a system with significant wind power production we use a two stage stochastic market clearing model where the first stage represents the day ahead market and the second stage represents the real time operation on one hand flexibility of demands is beneficial to the system as a whole since such flexibility reduces the operation cost but on the other hand shifts in demands from peak periods to off peak periods may influence prices in such a way that demands may not be willing to provide flexibility specifically we investigate the impacts of different degree of demand flexibility on day ahead prices a number of scenarios modeling the uncertainty associated with wind production at the operation stage and nonconvexities due to start up costs of generators and their minimum power outputs are taken into account

connecting the intraday energy and reserve markets by an optimal redispatch electricity markets based on simple bids provide a very high degree of transparency and simplicity however simple bids fail to capture many well known characteristics of generating units and therefore the responsibility for obtaining feasible schedules is transferred to market participants the purpose of this paper is to help the generating utility to automatically analyze the last energy program cleared in the market and in case this program is technically unfeasible to provide an alternative schedule by re dispatching the generating units this is achieved by formulating an optimization problem where the objective is to find the cheapest and feasible instantaneous power trajectory of each generator trying to minimize the differences between its hourly average values and the last energy program as the objectives of the utility can vary during the day three different models are presented two of them are formulated as a joint energy and reserve dispatch in order to take into account possible commitments acquired in the ancillary services market of agc regulation in this sense a novel approach for considering discontinuous ancillary regulation curves is proposed some numerical examples are included to illustrate the essential features of the models

optimal consumption of a nonrenewable resource with stochastic discoveries and a random environment we present a general model for the optimal consumption of a nonrenewable resource under two kinds of uncertainties one source of uncertainty is in the resource discovery process and the other is in the economic environment that affects resource supply and demand conditions such as exhaustion and development of a substitute the problem is formulated as one of optimally controlling a storage process with markov additive discoveries the optimal value of the resource stock is characterized as the solution of a functional equation and the existence of an optimal consumption policy is established it is shown that in a given environment the optimal consumption rate is increasing and the resource price is decreasing in the level of proven reserves a counterexample is provided to show that better environments may in fact mean higher prices and lower consumption rates finally a variety of examples is given to illustrate the scope and applicability of the general model

optimal scheduling of spinning reserve effective control of spinning reserve can provide substantial cost reductions in large power systems this paper suggests that this goal can he achieved by tightly integrating a probabilistic reserve assessment with the unit commitment uc function this enables the reliability of individual units and the uncertainty of the load forecast to be considered for short term scheduling the generation can then be scheduled to meet a given risk index it is further argued that the optimal value of this risk index should be selected on the basis of a tradeoff between the total schedule cost obtained from the uc solution and the expected cost of energy not served which can be derived from the probabilistic reserve assessment finally the problem of over commitment of reserve in lagrangian relaxation based uc is reduced by means of a new unit decommitment technique incorporating a look ahead feature

the effect of contingency analysis on the nodal prices in the day ahead market we look at the effect of modeling branch outage contingencies on locational marginal prices to model contingencies in the day ahead auction we formulate a two stage stochastic program rather than follow the current practice of including a list of possible contingencies that must be satisfied we incorporate a larger set of contingencies in the model and allow contingencies to result in load reductions outages at a cost the model can be used and interpreted in two ways one is to look at the tradeoff between reliability and outage costs another is to consider the load losses resulting from a contingency to be consumer offers of load reductions in response to line outages as part of the day ahead auction in analyzing the model structure we find that the prices in the model closer in definition to those currently used in the day ahead auction do not maximize expected surplus because the day ahead auction produces prices that assume shortages will never occur this raises issues with the design of auctions with important stochastic elements in the market we present results for a 68 node grid with 86 branches lines and transformers to illustrate how prices and expected values change as the costs of outages are varied

a security constrained bid clearing system for the new zealand wholesale electricity market this paper reports upon the mathematical models and implementation of the scheduling pricing and dispatch spd application for the new zealand electricity market nzem spd analyzes bids for energy offers reserve offers and energy demands and recognizes explicitly the effects on bid clearing due to transmission congestion network losses reserve requirements and ramp rate limits advanced lp solution methods are utilized to solve the large scale constrained optimization problem results on a 67 bus test system and the nzem are included

entry deterrence and signaling in a nonrenewable resource model abstract we analyze a nonrenewable resource model in which an incumbent firm faces potential entry from a rival firm the incumbent has private information about its stock size but the rival can observe extraction with observable extraction and unobservable stock the rival can use extraction as a signal about stock from which it can infer whether entry is likely to be profitable we characterize the necessary conditions for pooling and separating perfect bayesian equilibria in a signaling game of resource extraction and provide examples of each we show that the incumbent will often prefer pooling to separating even though welfare is higher in separating equilibrium

a single settlement energy only electric power market for unpredictable and intermittent participants we discuss a stochastic programming based method for scheduling electric power generation subject to uncertainty such uncertainty may arise from either imperfect forecasting or moment to moment fluctuations and on either the supply or the demand side the method gives a system of locational marginal prices that reflect the uncertainty and these may be used in a market settlement scheme in which payment is for energy only we show that this scheme is revenue adequate in expectation

energy and reserve pricing in security and network constrained electricity markets this paper analyzes some unresolved pricing issues in security constrained electricity markets subject to transmission flow limits although the notion of separate reserve types as proposed by ferc can be precisely and unambiguously defined when transmission constraints are active the very existence of separate reserve prices and markets is open to question when the prices are based on marginal costs instead we submit here that the only products whose marginal costs can be separately and uniquely defined and calculated are those of energy and security at each node thus under marginal pricing at any given network bus all scheduled reserve types should be priced not at separate rates but at a common rate equal to the marginal cost of security at that bus furthermore we argue that nodal or area reserves cannot be prespecified but must be obtained as by products of the market clearing process simulations back up these conclusions

towards full integration of demand side resources in joint forward energy reserve electricity markets this paper proposes a security constrained forward market clearing algorithm within which the inherent characteristics of demand flexibility are acknowledged when the provision of reserve from the demand side is considered in the proposed formulation we co optimize the cost of scheduling the appropriate resources to guarantee the security of the system and the expected cost of operating under any credible system state in addition we consider that consumers can offer to provide spinning reserve capacity deployable by voluntary load reductions in response to contingencies due to the load recovery effect i e since energy usage is essentially postponed when demand side reserve is deployed in post contingency states any voluntary reduction in the load has to be accompanied by a subsequent increase in demand from the initial forecast we demonstrate that the marginal value of the reserve provided by the demand can only be calculated taking into account the cost of supplying the recovery consumption flexible consumers can reduce their payments on average if energy is settled through real time prices

economic dispatch under uncertainty the probabilistic envelopes approach with fast paced renewable energy integration stochastic methods are emerging as a viable alternative to traditional power system operations planning under uncertainty the value of stochastic planning lies in its effectiveness at reducing operational costs while allowing higher penetration levels of renewable sources and without much sacrifice to system security this is under the premise that the decision maker may not need to fully hedge against more extreme and costlier events that exhibit lower probabilities of occurrence on the other hand stochastic methods do suffer from the curse of dimensionality which renders them computationally intractable for practical application here we propose a novel hybrid robust stochastic approach based on the flexibility envelopes concept it circumvents the curse of dimensionality by using probability weighted envelopes to enclose the evolution of the net load uncertainty over the planning horizon the new approach is illustrated by a receding horizon economic dispatch example to compare its effectiveness to robust planning and stochastic planning with a scenario tree

multi area energy and reserve dispatch under wind uncertainty and equipment failures the cross border trading among electricity markets in an interconnected multi area system e g in central europe and the integration of renewable resources e g wind energy have remarkably increased in recent years to efficiently operate such system a proper coordination among different areas is required within this context a decentralized algorithm for market clearing is proposed in this paper to dispatch simultaneously energy and reserve under wind generation uncertainty and equipment failures the proposed technique does not require a central operator but just a moderate interchange of information among neighboring areas additionally the benefit of cross border trading is studied

market implications and pricing of dynamic reserve policies for systems with renewables static reserve policies are used within security constrained unit commitment scuc and security constrained economic dispatch sced to ensure reliability a common policy is that 10 min reserve must exceed the largest contingency however this condition does not guarantee reliability because voltage and thermal limits can hinder reserve deliverability many operators use zonal reserve markets to ensure reserves are dispersed across the grid such zonal models attempt to anticipate transmission bottlenecks which is a difficult task when the future system state is uncertain this paper examines the market implications of dynamic reserve policies used to mitigate uncertainty from renewable resources and contingencies we study the market implications of policies recently proposed in the literature such as hourly zones within day ahead scuc and an algorithm that formally disqualifies reserves that are expected to be undeliverable a locational reserve pricing scheme is also proposed in connection with scenario based reserve disqualification analysis on the rts 96 test case shows that dynamic zones and reserve disqualification along with the proposed compensation scheme help direct reserve payments toward resources that more effectively respond to contingencies

value based transmission expansion planning of hydrothermal systems under uncertainty transmission planning studies in hydrothermal systems deal with complex issues two include 1 the need for a robust grid that can accommodate a large number of economic dispatch patterns caused by differing hydrological conditions in the river basins and 2 the high cost of grid reinforcements due to the large distance from hydro plants to load centers and the required n l security criterion it is thus necessary to consider the tradeoff between supply reliability and reinforcement cost the resulting planning problem is formulated as a large scale mixed integer nonlinear optimization model the objective function is to minimize the sum of investment costs and expected load shedding costs the constraints include linearized power flow equations limits on circuit flows for all combinations of economic dispatch points which capture hydrological variation and circuit contingencies which capture supply reliability this paper describes a new solution scheme for this problem that is based on two techniques 1 the extension of a binary disjunctive technique which transforms the integer nonlinear problem into a linear one and 2 screening strategies which allow a judicious choice of contingencies and candidate circuits planning studies for brazil and bolivia are presented and discussed

the value of intra day markets in power systems with high wind power penetration in this paper the value of intra day markets in managing wind power uncertainty in competitive electricity markets is analyzed a competitive electricity market model consisting of a day ahead market and a number of intra day markets is considered real time operation adjustment is also taken into account stochastic programming is used to model decision making under wind power uncertainty numerical simulations based on two test systems are presented

continuous time marginal pricing of electricity the current practice of discrete time electricity pricing starts to fall short in providing an accurate economic signal reflecting the continuous time variations of load and generation schedule in power systems this paper introduces the fundamental mathematical theory of continuous time marginal electricity pricing we first formulate the continuous time unit commitment problem as a constrained variational problem and subsequently define the continuous time economic dispatch ed problem where the binary commitment variables are fixed to their optimal values we then prove that the continuous time marginal electricity price equals to the lagrange multiplier of the variational power balance constraint in the continuous time ed problem the proposed continuous time marginal price is not only dependent to the incremental generation cost rate but also to the incremental ramping cost rate of the units thus embedding the ramping costs in calculation of the marginal electricity price the numerical results demonstrate that the continuous time marginal price manifests the behavior of the constantly varying load and generation schedule in power systems

a security constrained energy and spinning reserve markets clearing system using an interior point method a model and solution approach to a daily energy and spinning reserve electricity markets clearing system is presented in this paper the model considers offers for energy supply and spinning reserve bids for demand of energy and re schedulable bilateral contracts system security is taken into account by using a direct current model the model represents the clearing system used by an iso in charge of both the market and system security the clearing system is formulated as an optimization problem which is solved using an interior point method ipm taking advantage of the problem s special structure

optimal dispatch of a system based on offers and bids a mixed integer lp formulation the federal energy regulatory commission s ferc orders 888 and 889 will have far reaching consequences on the operation and dispatch of electric power systems a common element of the change is that of dispatching the system based on offers and bids to sell and buy unbundled commodities this paper formulates and solves the optimal dispatch problem as a mixed integer linear program such a formulation allows the acceptance of offers with minimum takes arising from generator characteristics

a martingale characterization of the price of a nonrenewable resource with decisions involving uncertainty abstract this paper presents a general model of nonrenewable resource consumption and exploration decisions involving uncertainty about the time of occurrence of an event such as exhaustion stock discovery or a substitute development the resulting price process is characterized in terms of necessary and sufficient conditions under which the price is expected to rise at a rate equal to greater than or less than the discount rate the general model is illustrated and the price process and the optimal decisions are characterized by examining the three types of uncertainty indicated above

learning and communication in sender receiver games an econometric investigation this paper compares the performance of stimulus response sr and belief based learning bbl using data from game theory experiments the environment extensive form games played in a population setting is novel in the empirical literature on learning in games both the sr and bbl models fit the data reasonably well in common interest games with history while the test results accept sr and reject bbl in games with no history and in all but one of the divergent interest games estimation is challenging since the likelihood function is not globally concave and the results may be subject to convergence bias

pricing energy and reserves using stochastic optimization in an alternative electricity market this paper presents a stochastic linear programming model that can be used for pricing in electrical energy and reserve markets it addresses capacity energy and reserve dispatch problems that may arise from n 1 contingency scenarios possible market solutions focusing on generator compensation using real time day ahead and hybrid schemes are enumerated along with opportunities for consumer pricing and transmission costing this model is illustrated on a 6 bus test system as well as a larger 66 bus system representing the ontario network a key difference among schemes is the degree of risk to the generators measured by variance in profit

pricing electricity in pools with wind producers this paper considers an electricity pool that includes a significant number of wind producers and is cleared through a network constrained auction one day in advance and on an hourly basis the hourly auction is formulated as a two stage stochastic programming problem where the first stage represents the clearing of the market and the second stage models the system operation under a number of plausible wind production realizations this formulation co optimizes energy and reserve and allows deriving both pool energy prices and balancing energy prices these prices result in both cost recovery for producers and revenue reconciliation a case study of realistic size is used to illustrate the functioning of the proposed pricing scheme

inventories as an asset the volatility of copper prices the spot price of copper metal is known to be extremely volatile from 1958 to 1980 the mean monthly average price was 0 49 per pound in constant 1967 dollars while the standard deviation of month to month changes in the real price was 0 06 claims to copper inventories are traded on the london metal exchange lme a competitive world asset market this paper empirically investigates the dynamics of copper spot prices on the lme focusing on the rate of return to holding copper metal and on the implications of inventory stockouts for this rate of return we make one major departure from the standard economic theory of exhaustible resources 2 instead of assuming constant short run marginal cost srmc we incorporate rising srmc of extraction into the model 3 this technological assumption provides an economic motive for production smoothing by holding inventories equilibrium inventory holdings ameliorates rising srmc by moving extraction to low srmc time periods we show that this amelioration is imperfect because of inventory stockouts when stockouts can occur the spot price of a resource reflects transient shocks to its scarcity value as well as permanent shifts more specifically the economic motive for inventory holding affects the equilibrium price dynamics of exhaustible resources in two ways first as long as positive inventories are being held their holders should earn the competitive rate of return thus the price of extracted resource should rise at the rate of interest in expected value this result differs from most recent theoretical studies of exhaustible resources which conclude that price minus marginal extraction cost should rise at the rate of

economic valuation of reserves in power systems with high penetration of wind power this paper proposes a methodology to determine the required level of spinning and nonspinning reserves in a power system with a high penetration of wind power the computation of the required reserve levels and their costs is achieved through a stochastic programming market clearing model spanning a daily time horizon this model considers the network constraints and takes into account the cost of both the load shedding and the wind spillage the methodology proposed is illustrated using an example and a realistic case study some conclusions are finally drawn

exercise of market power on ramp rate in wind integrated power systems with an increasing penetration of wind power there is likely to be an increasing need for fast ramping generating units these generators ensure that no load is lost if supply drops due to the uncertainties in wind power generation however it is observed in practice that in a presence of network constraints fast ramping generating units are prone to act strategically and exercise market power by withholding their ramp rates in this paper we model this gaming behavior on ramp rates we assume a market operator who collects bids in form of marginal costs quantities and ramp rates he runs a ramp constrained economic dispatch given the generators bids forecasted demand and contingencies following the game theoretic concepts we set up a multi level optimization problem the lower level problem is the ramp constrained economic dispatch and the higher level represents the profit maximization problems solved by strategic generators the whole problem is formulated as an equilibrium problem with equilibrium constraints epec the outcome of the epec problem is a set of nash equilibria to tackle the multiple nash equilibria problem the concept of the extremal nash equilibria is defined and formulated we model the concept of extremal nash equilibria as a single stage mixed integer linear programming problem milp and demonstrate the application of this mathematical framework on an illustrative case and on a more realistic case study with tractable results

experimental economics reply more than in any particular method of inquiry i think the hallmark of science is to be found in a constructively skeptical attitude toward knowledge the more fundamental are the concepts and assumptions of a science the easier it is to take them for granted and to abandon this skepticism in this spirit ronald heiner 1985 is correct in emphasizing that the knowledge obtained from the study of the performance of experimental markets is only as secure as the classical preference model used to induce prespecified value structures on the agents in such markets if the purpose of an experiment is to test a theory for example supply and demand and the theory is not falsified by the test this in no way supports any premise of the theory which was also a premise of the experimental design when we falsify a theory the implication is that one or more of its assumptions about the behavior of economic agents maximization of expected utility commonly shared homogeneous expectations risk aversion zero subjective costs of transacting etc is in question and the immediate task is to modify the suspected behavioral assumptions of the original theory other assumptions such as that agents have well defined preferences or know the probability distribution from which other agent values were drawn are not brought into question by the experiment because the experimental design reproduced or should have the environment posited by the theory being tested when testing formal market theories in this way we should always be aware of the fact that we are studying behavior within the context of our representations of the economic environment if any of these representations is wrong then our studies have only increased our self knowledge not our knowledge of things natural economic processes if we are to increase our knowledge of things then our ultimate aim should aspire to more than discovering that the behavioral department of economics university of arizona tucson az 85721 1 the principal contribution of popper s falsificationist methodology is i believe the influential attempt to develop a formal logic of skeptical inquiry that the attempt has failed in the sense that it has produced no defensible codified set of procedures that yield a science of scientific method happily it would appear that all such attempts will fail should not detract from the disciplinary value of the falsificationist perspective in approaching scientific questions its value to the experimentalist is to force him to ask how can i design an experiment with the property that the set of potentially observable outcomes can be partitioned into those that are consistent with one or a given theory and those that are consistent with other theory ies or inconsistent with the given theory that experimental life is such that his effort is about as likely to fail as to succeed by no means detracts from the value of the exercise its value to the theorist if he will just forgo the career advancing primeval incentive to publish yet another technically tractable extension of the existing theory literature is to force him to ask how can i model this question so as to suggest as martin shubik would say a do able experiment and so as to yield observable implications that do not exhaust the set of possible outcomes that this effort will often fail does not detract from the value of the exercise having said this i would not want to leave the impression that experiments that are fishing expeditions in the laboratory to see what will happen are of no value seeing what happens can be essential in defining an analyticalempirical research program similarly when a theorist builds as buz brock would say castles in the air this is not necessarily useless for it may lead to more operational forms of theory we should impute some nonzero probability to the proposition that feyerabend s anything goes posture is right but at this stage i think it has become pretty obvious where our professional weaknesses are concentrated economists while spouting the rhetoric donald mcclosky 1983 of the falsificationist are in fact verificationist to the core we all do it we take a proposition conjecture or theory then search for supportive historical or empirical examples as everyone ought to know seek and ye are likely to find whether one is a keynesian or a supply sider what is not sufficiently appreciated is that this verificationist grubbing is a prescientific exercise in which one asks whether there is any supporting evidence and how difficult it is to find if there is none or if it is pretty hard to uncover it suggests abandonment in the prescientific womb

the swiss reserve market stochastic programming in practice this paper presents the evolution and design of the swiss reserve market and describes its two stage stochastic market clearing model in switzerland the reserve market comprises weekly and daily auctions the decision making problem is to determine the amount of reserves that should be procured in each market stage the stochasticity stems from daily offers which are not available at the beginning of the week when the first stage decisions are made the new market clearing model minimizes expected procurement costs of reserves while taking reserve dimensioning criteria and market properties into consideration since the last week of january 2014 this model has been clearing the reserve market in switzerland to our knowledge this is the first real world implementation of a stochastic market clearing model in electricity markets

reliability and reserve in competitive electricity market scheduling power systems are typically scheduled at least cost subject to operational and security constraints generally no account is taken of generator reliability when scheduling units also the security criteria which include reserve are usually deterministic in nature this paper proposes a method to consider generator reliability explicitly in the scheduling problem a competitive structure is proposed which includes a market for reserve this is formulated as an augmented lagrangian dual function and is solved using a new recurrent neural network the price for reserve is used along with the unit reliability to find a balance between the cost of reserve and the risk of not providing it

a stochastic programming model for a day ahead electricity market with real time reserve shortage pricing we present a multi period stochastic mixed integer programming model for power generation scheduling in a day ahead electricity market the model considers various scenarios and integrates the idea of reserve shortage pricing in real time instead of including all the possible scenarios we parsimoniously select a certain number of scenarios to limit the size of the model as realistic size models are still intractable for exact methods we propose a heuristic solution methodology based on scenario rolling that is capable of finding good quality feasible solutions within reasonable computation time

multi area unit scheduling and reserve allocation under wind power uncertainty this paper proposes a decentralized methodology to optimally schedule generating units while simultaneously determining the geographical allocation of the required reserve we consider an interconnected multi area power system with cross border trading in the presence of wind power uncertainty the multi area market clearing model is represented as a two stage stochastic programming model the proposed decentralized procedure relies on an augmented lagrangian algorithm that requires no central operator intervention but just moderate interchanges of information among neighboring regions the methodology proposed is illustrated using an example and a realistic case study

using a system model to decompose the effects of influential factors on locational marginal prices locational marginal prices lmps are influenced by various factors such as load uncertainty thermal limit capacity reserve and market power we build a system model to quantitatively analyze the effects of these individual factors and their interactions on the mean and standard deviation of the lmps assuming that the factors are either active or inactive according to the sensitivity analysis results from convex quadratic programming lmps are piecewise linear functions of demand variation which is a key property used in the computation this paper attempts to answer the following types of questions 1 to what extent does market power raise the lmps above the marginal cost 2 what effects will generation or transmission capacity expansion have on relieving high lmps under high demand scenarios an ieee 30 bus test system is used as an example to demonstrate our approach

security constrained unit commitment for simultaneous clearing of energy and ancillary services markets this paper introduces a security constrained unit commitment scuc model with emphases on the simultaneous optimization of energy and ancillary services markets benders decomposition is used to decouple the scuc into a unit commitment uc master problem and hourly network security checking subproblems lagrangian relaxation is used to decouple the uc problem into individual single unit commitment problems dynamic programming is used to find the optimal commitment decision a simultaneous marginal curve algorithm is proposed to find the optimal values of energy and ancillary services a six bus system with three units and the ieee 118 bus system with 54 units are analyzed to illustrate the proposed model

spot pricing of capacities for generation and transmission of reserve in an extended poolco model the poolco model is emerging as one of the most acceptable options for organizing the spot market of electricity although the model represents a reasonable and safe transition from present industry practices to what is required in a competitive electricity market many important issues remain to be resolved in particular issues regarding reliability related services are of a special concern to the industry this paper is devoted to the issue of reserve service delivery and pricing the poolco model is extended in this paper to include spot pricing of reserve generation and transmission capacities as well as demand side bidding in the authors extended model suppliers submit bids for power as well as for reserve capacities a new formulation of the extended security constrained economic dispatch which allocates both power and reserve generation resources is presented in this paper the dispatch of the resources is constrained by limitations of system transmission capacities the proposed formulation is considered to be relevant not only in the poolco but in a more general setup an illustrative example is used to introduce concepts and present results finally some general issues regarding formats of proposals balance of payments and uniqueness of the prices that apply equally to both the original and extended poolco models are discussed

optimal pricing use and exploration of uncertain natural resource stocks abstract units of natural resources to be called mines are assumed distributed over an unexplored territory according to a poisson process in space at any moment total reserves and unexplored land are given society can determine the rate of consumption and the rate of exploration reserves are drawn down by consumption and increased by discoveries made during exploration the amount of unexplored land is decreased by exploration at any moment the payoff of society is a concave function of consumption less a linear function of exploration with future payoffs discounted optimal policies are considered and in particular it is shown for a large amount of unexplored land the shadow prices of reserves and of unexplored land move in random cycles but show only a slight upward tread thereby casting some light on the failure of mineral prices to rise at the market rate of interest

the economics of exploration for non renewable resources abstract the literature on exploration for non renewable resources is surveyed following a brief synopsis in section 2 section 3 focuses on issues related to the world market for resources section 4 considers more microeconomic supply related issues linked to the exploration of the small region or play section 5 turns to the small but growing literature on exploration as a learning process related to r d the latter sections pay particular attention to empirical and policy aspects

stochastic multiobjective market clearing of joint energy and reserves auctions ensuring power system security in this paper a stochastic multiobjective framework is proposed for day ahead joint market clearing the proposed multiobjective framework can concurrently optimize competing objective functions including augmented generation offer cost and security indices overload index voltage drop index and voltage stability margin besides system uncertainties including generating units and branches contingencies and load uncertainty are explicitly considered in the stochastic market clearing scheme the solution methodology consists of two stages which firstly employs roulette wheel mechanism and monte carlo simulation mcs for random adaptive 24 h scenario generation wherein the stochastic multiobjective market clearing procedure is converted into its respective deterministic equivalents scenarios in the second stage for each deterministic scenario a multiobjective mathematical programming mmp formulation based on the epsiv constrained approach is implemented for provision of spinning reserve sr and nonspinning reserve nsr as well as energy the mmp formulation of the market clearing process is optimized while meeting ac power flow constraints and expected interruption cost eic the ieee 24 bus reliability test system rts 24 bus is used to demonstrate the performance of the proposed method

the hotelling rule in non renewable resource economics a reassessment harold hotelling s 1931 contribution is known for providing a basic principle the hotelling rule to the economics of non renewable resources nearly ninety years later empirical tests conclude the rule lacks empirical validity requiring strong amendments to describe the long term aggregate behavior of its target object on the basis of hotelling s unpublished archival material this paper revisits the place given to the hotelling rule in non renewable resource economics our reconstruction shows that hotelling s 1931 paper has been misinterpreted from the outset the hotelling rule was not valid for mineral resources in contrast the consideration of two inherent geological constraints alongside exhaustibility offered the opportunity for an alternative basic framework capable to generate bell shaped and u shaped equilibrium trajectories for supplies and prices respectively inspired by this unknown aspect of hotelling s work brought to light by our archival investigation we sketch this alternative basic model enabling non renewable resource economics to circumvent the empirical shortfalls of the hotelling rule

monopoly extraction of an exhaustible resource with two markets although much has been written about monopoly extraction of natural resources the case of a resource being sold in two separate markets has escaped notice we find that a monopolist facing two different iso elastic demand schedules extracts more rapidly than the social planner whether or not arbitrage prevents price discrimination between markets jel classification d42 q3 extraction monopoliste d une ressource epuisable quand il y a deux marches meme si l on a ecrit beaucoup a propos de l extraction monopoliste de ressources naturelles epuisables il semble que le cas d une ressource vendue dans deux marches separes n a pas ete traite on decouvre qu un monopoleur faisant face a deux cedules de demande iso elastiques differentes extrait la ressource plus rapidement que le planificateur social que l arbitrage entre les marches empeche ou non la discrimination par les prix

a test of the hotelling valuation principle time series tests of the hotelling r percent rule for natural resource prices have not been strongly supportive but the tests and the data are subject to serious difficulties we propose here an alternative testing strategy based on another but less widely known implication of the hotelling model we test this implication which we call the hotelling valuation principle by regressing the market values of the reserves of a sample of u s domestic oiland gas producing companies on their estimated hotelling values we find that the estimated hotelling values account for a significant portion of the observed variations in market values and that the hotelling measures are better indicators of the market values of petroleum properties than two widely cited publicly available alternative appraisals

information and exhaustible resources a bayesian analysis abstract we develop a continuous time bayesian model of investment in information about an exhaustible resource because of the way that information affects expectations the deterministic hotelling rule turns out to be more appropriate as a description of how resource owners forecast the value of their stocks than as a predictor of observed changes in the resource price a flow of information generates both unanticipated changes in expectations which cause the mean rate of change in the resource price to deviate systematically from the deterministic hotelling rule and reductions in uncertainty which do not affect the hotelling prediction

economic and environmental implications of different approaches to hedge against wind production uncertainty in two settlement electricity markets a pjm case study abstract this paper examines the economic and environmental outcomes of four two settlement electricity market clearing designs the first design corresponds to a deterministic market clearing dmc similar to the mechanism currently used in organized wholesale electricity markets in the united states the other three designs account for the day ahead da wind power production uncertainty into the da market mechanisms either implicitly or explicitly an augmented deterministic market clearing admc design introduces da ramp capability products these products ensure adequate and ramp feasible electricity generation capacity commitments in the da stage to cope with the real time realization of wind power generation a hybrid deterministic market clearing hdmc design augments admc by explicitly integrating a characterization of wind power production uncertainty into the residual unit commitment ruc process which is run after the da market is closed using stochastic programming the last design referred to as stochastic market clearing smc uses stochastic optimization to explicitly account for wind power production uncertainty in the da market clearing mechanisms i e da unit commitment and economic dispatch the four market clearing designs are assessed by simulating the electricity market operations of a test system and comparing their results in terms of operating costs prices costs and revenues of different types of producers consumer s payments integration of wind power and air emissions the test system has 12 of the capacity of pjm s fossil fired power generation fleet and uses data on coincident demand and wind power production from the bonneville power administration bpa system during years 2010 2014 the simulations are performed hourly for a whole year results show that smc is superior as its costs reductions are more than two times the improvements attained by admc and hdmc also smc results in electricity prices that are better aligned with operation costs cuts the spread between the day ahead and real time prices by 40 reduces out of market short term revenue sufficiency payments by 58 reduces co2 emissions by 3 52 and decreases power plants cycling hdmc is a distant second best market design relative to dmc it achieves a reduction in total costs that is less than half the reduction achieved by smc a reduction in out of market payments that is 80 of the reduction attained by smc and an increase in wind power integration that is

demand side reserve offers in joint energy reserve electricity markets we propose a market model that includes demand side reserve offers and where energy and reserve are jointly dispatched generators and consumers can submit offers and bids on five distinct products energy upspinning reserve downspinning reserve and two kinds of standby reserve the resources are scheduled and dispatched in a joint auction through a mixed integer optimization program the extra scheduling flexibility introduced by demand side reserve offers can lead to significant gains in economic efficiency thus the results suggest that not only do the consumers increase their profits but in addition the market power of the generators is reduced

time discounting in harold hotelling s approach to natural resource economics the unsolved ethical question the paper focuses on harold hotelling s approach to time discounting in the context of the intertemporal allocation of exhaustible natural resources in 1931 hotelling introduces a positive discount rate when dealing with the social value or total utility derived from a resource his position was in contrast with early economic literature on conservation as well as with the point of view of frank ramsey according to whom time discounting expressed an unjustified preference for the welfare of present generations over that of future ones hence it has been argued that hotelling dismissed ethical concerns using archival material we find that for hotelling economic questions should not be restricted to issues of economic efficiency that his choice to discount utility which he considered as analogous to a concrete benefit at the interest rate is compatible with ramsey s position and more broadly that this choice does not preclude an ethical position on the desirable distribution of exhaustible resources through time to hotelling ethics is implemented by politics through fiscal corrections of the interest rate revisiting hotelling on the articulation between ethics allocative efficiency and policies allows us to rethink the way we do that in current models using time discounting