optimal dynamic pricing of inventories with stochastic demand over finite horizons in many industries managers face the problem of selling a given stock of items by a deadline we investigate the problem of dynamically pricing such inventories when demand is price sensitive and stochastic and the firm s objective is to maximize expected revenues examples that fit this framework include retailers selling fashion and seasonal goods and the travel and leisure industry which markets space such as seats on airline flights cabins on vacation cruises and rooms in hotels that become worthless if not sold by a specific time we formulate this problem using intensity control and obtain structural monotonicity results for the optimal intensity resp price as a function of the stock level and the length of the horizon for a particular exponential family of demand functions we find the optimal pricing policy in closed form for general demand functions we find an upper bound on the expected revenue based on analyzing the deterministic version of the problem and use this bound to prove that simple fixed price policies are asymptotically optimal as the volume of expected sales tends to infinity finally we extend our results to the case where demand is compound poisson only a finite number of prices is allowed the demand rate is time varying holding costs are incurred and cash flows are discounted the initial stock is a decision variable and reordering overbooking and random cancellations are allowed

dynamic pricing of perishable assets under competition we study dynamic price competition in an oligopolistic market with a mix of substitutable and complementary perishable assets each firm has a fixed initial stock of items and competes in setting prices to sell them over a finite sales horizon customers sequentially arrive at the market make a purchase choice and then leave immediately with some likelihood of no purchase the purchase likelihood depends on the time of purchase product attributes and current prices the demand structure includes time variant linear and multinomial logit demand models as special cases assuming deterministic customer arrival rates we show that any equilibrium strategy has a simple structure involving a finite set of shadow prices measuring capacity externalities that firms exert on each other equilibrium prices can be solved from a one shot price competition game under the current time demand structure taking into account capacity externalities through the time invariant shadow prices the former reflects the transient demand side at every moment and the latter captures the aggregate supply constraints over the sales horizon this simple structure sheds light on dynamic revenue management problems under competition which helps capture the essence of the problems under demand uncertainty we show that the equilibrium solutions from the deterministic game provide precommitted and contingent heuristic policies that are asymptotic equilibria for its stochastic counterpart when demand and supply are sufficiently large this paper was accepted by yossi aviv operations management

optimal dynamic pricing of perishable products with stochastic demand and a finite set of prices abstract consider a continuous time inventory problem in which a retailer sets the price on a fixed number of a perishable asset that must be sold prior to the time at which it perishes the retailer can dynamically adjust the price between any of a finite number of allowable prices demand for the product is poisson with an intensity that is inversely related to the price the optimal policy is piecewise constant the maximum expected revenue is nondecreasing and concave in both the remaining inventory and the time to go for a given inventory level the optimal price declines as the time at which the products perish approaches at any given time the optimal price is nonincreasing in the number of items remaining unsold these results are extended to i the case in which the prices and corresponding demand intensities depend on the time to go and ii the case in which the retailer can restock to meet demand at a unit cost after the initial inventory has been sold

the drawbacks and opportunities of carbon charges in metropolitan areas a spatial general equilibrium approach in cities there is a variety of economic and spatial forces that may influence to what extent a travel related co2 emission pricing can be an effective instrument to contribute to the achievement of co2 reduction goals therefore we examine the effectiveness and impact of co2 emission charges using a spatial general equilibrium model of an urban economy calibrated according to an average german city our analyses suggest that the imposition of a pigouvian type co2 emission charge on urban passenger travel may be able to reduce emissions by about 1 11 depending on the estimated social damage cost of carbon dioxide such a policy increases urban welfare mainly on account of a reduction of congestion costs however pricing congestion directly not only provides higher urban welfare but also higher emission reductions pricing congestion and co2 emissions simultaneously allows to achieve a wide range of emission reduction goals if however the reduction goal is very ambitious the emission charge must be raised to higher levels then distortions in the urban markets and in spatial travel decisions lower labor supply and thus urban production income of city residents federal tax revenue income of landowners outside the city all together implying losses in welfare

global warming policy a public finance perspective in the last few years a substantial volume of research has considered the design of taxes to slow greenhouse gas emissions as well as the economic effects of such policies in this paper i summarize the insights that have emerged from this work i begin by explaining that while efficiency considerations create a presumption for using coordinated international policies to alter greenhouse gas emissions the prospects for such action are bleak then i focus on the public finance of carbon taxes at the national level considering the design of such taxes as well as their incidence across and within nations next i focus on greenhouse gas emission policies that could be enacted in less developed countries such as the elimination of fossil fuel subsidies and other policies to slow deforestation finally i suggest several promising directions for future study

on pricing of perishable assets with menu costs we consider dynamic pricing of perishable assets in the presence of price sensitive renewal demand processes unlike the existing works in the literature we explicitly incorporate non negligible price change costs which reflects the revenue management practice more realistically these costs are also known as menu costs in the economic literature the objective is to maximize the discounted expected profit for an initial inventory of q items by determining the selling prices dynamically we employ a dynamic programming approach and formulate a model that captures the price demand relationship we establish some theoretical results on the properties of the problem at hand specifically we establish the sufficient conditions under which the within period profit is concave in the selling price and in the remaining shelf life and furthermore show the structure of the myopically and asymptotically optimal pricing policy in a numerical study we investigate the impact of various system parameters and in particular the existence of menu costs on pricing decisions we observe that ignoring menu costs may be significantly misleading for the implementation of revenue management we also propose four implementable policy heuristics and examine their performances our findings support some results previously obtained in settings with continuous pricing and negligible price change costs and contradict some others 2009 published by elsevier b v

bundle pricing of inventories with stochastic demand we consider a retailer selling a fixed inventory of two perishable products over a finite horizon assuming poisson arrivals and a bivariate reservation price distribution we determine the optimal product and bundle prices that maximize the expected revenue our results indicate that the performances of mixed bundling pure bundling and unbundled sales strategies heavily depend on the parameters of the demand process and the initial inventory levels bundling appears to be most effective with negatively correlated reservation prices and high starting inventory levels when the starting inventory levels are equal and in excess of average demand most of the benefits of bundling can be achieved through pure bundling however the mixed bundling strategy dominates the other two when the starting inventory levels are not equal we also observe that an incorrect modeling of the reservation prices may lead to significant losses the model is extended to allow for price changes during the selling horizon it is shown that offering price bundles mid season may be more effective than changing individual product prices

dynamic pricing of inventory capacity with infrequent price changes we consider a problem of dynamically pricing a single product sold by a monopolist over a short time period if demand characteristics change throughout the period it becomes attractive for the company to adjust price continuously to respond to such changes i e price discriminate intertemporally however in practice there is typically a limit on the number of times the price can be adjusted due to the high costs associated with frequent price changes if that is the case instead of a continuous pricing rule the company might want to establish a piece wise constant pricing policy in order to limit the number of price adjustments such a pricing policy which involves optimal choice of prices and timing of price changes is the focus of this paper we analyze the pricing problem with a limited number of price changes in a dynamic deterministic environment in which demand depends on the current price and time and there is a capacity inventory constraint that may be set optimally ahead of the selling season the arrival rate can evolve in time arbitrarily allowing us to model situations in which prices decrease increase or neither we consider several plausible scenarios where pricing and or timing of price changes are endogenized various notions of complementarity single crossing property supermodularity and total positivity are explored to derive structural results conditions sufficient for the uniqueness of the solution and the monotonicity of prices throughout the sales period furthermore we characterize the impact of the capacity constraint on the optimal prices and the timing of price changes and provide several other comparative statics results additional insights are obtained directly from the solutions of various special cases

joint inventory allocation and pricing decisions for perishable products abstract we jointly determine the price and the inventory allocation for a perishable product with a predetermined lifetime we assume that the price of the product increases as the time when it perishes approaches as in the airline industry demand for the product is price sensitive to maximize the expected revenue we developed a discrete time dynamic programming model to obtain the optimal prices and the optimal inventory allocations for the product with a two period lifetime we then proposed three heuristics when the lifetime is longer than two periods the computational results showed that the expected revenues from the proposed heuristics were very close to that of the optimal solution we extended these results to i the case where the price for the product consistently decreases and ii the case where the price for the product first increases and later decreases

optimal policies of yield management with multiple predetermined prices it is a common practice for industries to price the same products at different levels for example airlines charge various fares for a common pool of seats seasonal products are sold at full or discount prices during different phases of the season this article presents a model that reflects this yield management problem the model assumes that 1 products are offered at multiple predetermined prices over time 2 demand is price sensitive and obeys the poisson process and 3 price is allowed to change monotonically i e either the markup or markdown policy is implemented to maximize the expected revenue management needs to determine the optimal times to switch between prices based on the remaining season and inventory major results in this research include 1 an exact solution for the continuous time model 2 piecewise concavity of the value function with respect to time and inventory and 3 monotonicity of the optimal policy the implementation of optimal policies is fairly facile because of the existence of threshold points embedded in the value function the value function and time thresholds can be solved with a reasonable computation effort numerical examples are provided

carbon abatement and international spillovers carbon abatement policies in large open economies affect both the allocation of domestic resources and international market prices a change in international prices implies an indirect secondary burden or benefit for all trading countries based on simulations with a large scale computable general equilibrium model of global trade and energy use we show that international spillovers have important welfare implications for carbon abatement policies designed to meet exogenous emission reduction targets we present a decomposition of the total welfare effect of carbon abatement policies into a primary domestic market effect at constant international prices and a secondary international spillover impact as a result of changes in international prices this decomposition reveals the extent to which domestic abatement costs are increased or decreased as a result of the impact of carbon abatement on international prices

revenue management model for on demand it services abstract this paper presents a model for applying revenue management to on demand it services the multinomial logit model is used to describe customer choice over multiple classes with different service level agreements slas a nonlinear programming model is provided to determine the optimal price or service level for each class through a numerical analysis we examine the impacts of system capacity and customer waiting incentives on the service provider s profit and pricing strategies

integration of pricing and capacity allocation for perishable products abstract for years pricing and capacity allocation decisions in most revenue management models have been carried out independently this article presents a comprehensive model to integrate these two decisions for perishable products we assume that the supplier sells the same products to different micro markets at distinct prices throughout the sales season the supplier faces decisions as to which micro markets or customer classes should be served and at what prices we show that i at any time a customer class is active being served if and only if the price offered is over a threshold level but the optimal price may not be the highest one of the supplier s choice ii when the price decision is made in conjunction with inventory it is similar to the procedure shown in pure pricing models i e the optimal price comes from a subset of prices that forms a maximum increasing concave envelope iii because of dynamic changes in the optimal prices the nested price structure does not necessarily hold in general and needs to be redefined and iv the optimal pricing and capacity control policy is based on a sequence of threshold points that incorporate inventory price and demand intensity numerical examples are provided

disentangling the pure time effect from site and preference heterogeneity effects in benefit transfer an empirical investigation of transferability two identical open ended contingent valuation surveys assessing willingness to pay for better protection against flooding were administered in 2005 and 2010 at the same site the 2010 survey was administered to the same respondents as those interviewed in 2005 as well as to new participants this experimental design allows us to separate the pure temporal dimension from the spatial and social dimensions of transferability thereby permitting an investigation of the temporal reliability associated with a transfer of value estimates over a 5 year time horizon having isolated the pure effect of time the design further allows assessing the social dimension of transferability

does ecological economics have a future contradiction and reinvention in the age of climate change abstract this paper addresses the role of neoclassical methodologies in ecological economics and the contradictions these methodologies pose to the field s critical founding principles we first consider robert costanza s treatment of nicholas stern s global deal and then survey climate change related articles published in this journal over the past five years this survey reveals how mainstream neoclassical methodologies dominate discourse and do so by marginalizing more critical political economy analyses this situation imperils the field s founding vision of a no growth steady state it also fails to address the related growth dynamics of capitalism without such a critical treatment the field s formal embrace of methodological pluralism actually entails an ideological empiricism that renders ecological economics theoretically incoherent this situation undermines the field s historical promise as an alternative economic paradigm ecological economics now faces a problematic future its survival in a form faithful to its founding vision will require an explicit choice to address its internal contradictions and reinvent itself in ways relevant to our contemporary context without such a choice ecological economics will likely succumb to an implicit acceptance of the hegemony of mainstream economic methodologies and their pro growth imperatives

externality or sustainability economics abstract in an effort to develop sustainability economics baumgartner and quaas 2010 neglect the central concept of environmental economics environmental externality this note proposes a possible connection between the concepts of environmental externality and sustainability in addition attention is asked for other aspects of sustainability economics namely the distinction weak strong sustainability spatial sustainability and sustainable trade distinctive sustainability policy and the ideas of early sustainability economists i argue that both sustainability and externalities reflect a systems perspective and propose that effective sustainability solutions require that more attention is given to system feedbacks notably other regarding preferences and social interactions and energy and environmental rebound the case of climate change and policy is used to illustrate particular statements as a conclusion a list of 20 insights and suggestions for research is offered

second best road taxes in polycentric networks with distorted labor markets this paper examines the interaction of road taxes with spatially invariant labor taxation in a polycentric network it derives analytical expressions for the network counterparts of the traditional double dividend effects i e pigouvian tax interaction and revenue recycling effects and computes them under different policy regimes the analysis reveals a series of conditions under which a system of cordons around the major nodes of a network might be more efficient than marginal external cost pricing with a high elasticity of labor supply and limited public transport coverage it is shown that the pigouvian tax rule might reduce welfare even when the generated revenue is used to finance labor tax cuts

does britain or the united states have the right gasoline tax this paper develops an analytical framework to assess the second best optimal level of gasoline taxation taking into account unpriced pollution congestion and accident externalities as well as interactions with the broader fiscal system we provide calculations of the optimal taxes for the us and the uk under a variety of parameter scenarios under our central parameter values the second best optimal gasoline tax is 1 01 gal for the us and 1 34 gal for the uk current tax rates are much lower than this in the us and higher in the uk the calculations are moderately sensitive to alternative parameter assumptions the congestion externality is the largest component in both nations revenue raising needs also play a significant role as do accident externalities and local air pollution potential welfare gains from reducing the current uk tax rate are estimated at nearly one fourth the production cost of all gasoline used in the uk even larger gains could be achieved by switching to a tax on vehicle miles with equal revenue yield for the us the welfare gains from optimizing the gasoline tax are smaller but those from switching to an optimal tax on vehicle miles are very large

perishable asset revenue management with markovian time dependent demand intensities many industries face the problem of selling a fixed stock of items over a finite horizon these industries include airlines selling seats before planes depart hotels renting rooms before midnight theaters selling seats before curtain time and retailers selling seasonal items with long procurement lead times given a sunk investment in seats rooms or winter coats the objective for these industries is to maximize revenues in excess of salvage value when demand is price sensitive and stochastic pricing is an effective tool to maximize expected revenues in this paper we address the problem of deciding the optimal timing of price changes within a given menu of allowable possibly time dependent price paths each of which is associated with a general poisson process with markovian time dependent predictable intensities we show that a set of variational inequalities characterize the value functions and the optimal possibly random time changes in addition we develop an efficient algorithm to compute the optimal value functions and the optimal pricing policy

transformation of optimization problems in revenue management queueing system and supply chain management abstract for revenue optimization problems in the literature on revenue management supply chain management and queueing systems some assumptions such as concavity of revenue functions or increasing generalized failure rate are often needed to ensure the problems to be analytically tractable we show that these assumptions are not necessary for this we present and study a parametric revenue maximization problem to unify some problems in the literature without the usual assumptions we transform the problem into an equivalent one where the revenue function is increasing continuous and concave we then apply the transformation method to a continuous time revenue management problem and conclude that the monotone results are robust to demand function and allowable price set also we apply the transformation method to study a parametric cost minimization problem we further apply our method to two optimal control problems in queueing systems and an inventory control problem in a supply chain with price only contract

revenue management with partially refundable fares we introduce and analyze an intertemporal choice model where customer valuations are uncertain and evolve over time the model leads directly to the study of call options on capacity that are similar to partially refundable fares we show that the capacity provider earns significantly higher revenues by selling real options on capacity than on low to high pricing we also investigate the social implications and show that the use of options is both socially optimal and socially efficient

optimal starting times for end of season sales and optimal stopping times for promotional fares many industries face the problem of selling a fixed stock of items over a finite horizon these industries include airlines selling seats before planes depart hotels renting rooms before midnight theaters selling seats before curtain time and retailers selling seasonal goods such as air conditioners or winter coats before the end of the season given a fixed number of seats rooms or coats the objective for these industries is to maximize revenues in excess of salvage value when demand is price sensitive and stochastic pricing is an effective tool to maximize revenues in this paper we address the problem of deciding the optimal timing of a single price change from a given initial price to either a given lower or higher second price under mild conditions we show that it is optimal to decrease resp to increase the initial price as soon as the time to go falls below resp above a time threshold that depends on the number of yet unsold items

estimating the welfare effect of congestion taxes the critical importance of other distortions within the transport system abstract this paper extends the first best analysis of peak period congestion pricing to account for interactions with other distortions within the transport system including congestion on unpriced routes accident and pollution externalities suboptimal transit pricing and gasoline taxes we illustrate how the presence of each of these distortions changes the welfare effect of a congestion tax over a wide range of parameter scenarios in all cases the welfare changes are potentially significant implying that these distortions are important to consider in an economic evaluation of congestion taxes

revenue management under a general discrete choice model of consumer behavior customer choice behavior such as buy up and buy down is an important phenomenon in a wide range of revenue management contexts yet most revenue management methodologies ignore this phenomenon or at best approximate it in a heuristic way in this paper we provide an exact and quite general analysis of this problem specifically we analyze a single leg reserve management problem in which the buyers choice behavior is modeled explicitly the choice model is very general simply specifying the probability of purchase for each fare product as a function of the set of fare products offered the control problem is to decide which subset of fare products to offer at each point in time we show that the optimal policy for this problem has a quite simple form namely it consists of identifying an ordered family of efficient subsets s 1 s m and at each point in time opening one of these sets s k where the optimal index k is increasing in the remaining capacity x and decreasing in the remaining time that is the more capacity or less time available the further the optimal set is along this sequence we also show that the optimal policy is a nested allocation policy if and only if the sequence of efficient sets is nested that is s 1 s 2 s m moreover we give a characterization of when nesting by fare order is optimal we also develop an estimation procedure for this setting based on the expectation maximization em method that jointly estimates arrival rates and choice model parameters when no purchase outcomes are unobservable numerical results are given to illustrate both the model and estimation procedure

optimal pricing and quantity of products with two offerings this paper analyzes the decision of a firm offering two versions of a product a deluxe and a regular while both products satisfy the same market the deluxe version is sold at a high price relative to its cost and is aimed at the high end of the demand curve the regular version is sold at a low price relative to its cost and is targeted to customers at the low end of the demand curve this two offering strategy is especially popular with book publishers where a paperback book is introduced some time after the hardbound version is introduced the time between the introduction of the two versions of the product is accompanied by a downward shift in the demand curve due to customers losing interest in the product or satisfying their demand from a secondary used market we solve a profit maximization model for a firm using a two offering strategy the model is solved for linear and exponential deterioration in demand which is assumed to be deterministic also a model with linear deterioration in demand which is assumed to be stochastic is solved the results indicate that substantial improvements in profit can be obtained by using the two offering strategy numerical sensitivity analysis and examples are used to illustrate the results

marginal abatement costs of greenhouse gas emissions a meta analysis in this paper we carry out a meta analysis of recent studies into the costs of greenhouse gas mitigation policies that aim at the long term stabilisation of these gases in the atmosphere we find the cost estimates of the studies to be sensitive to the stringency of the stabilisation target the assumed emissions baseline the way in which the time profile of emissions is determined in the model the choice of control variable co2 only versus multigas the number of regions and energy sources in the model and to a lesser degree the scientific forum in which the study was developed we find that marginal abatement costs of the stringent long term targets that are currently considered by the european commission are still very uncertain but might exceed the costs that have been suggested by recent policy assessments

an analysis of bid price controls for network revenue management bid prices are becoming an increasingly popular method for controlling the sale of inventoryin revenue management applications in this form of control threshold or bid prices are set for the resources or units of inventory seats on flight legs hotel rooms on specific dates etc and a product a seat in a fare class on an itinerary or room for a sequence of dates is sold only if the offered fare exceeds the sum of the threshold prices of all the resources needed to supply the product this approach is appealing on intuitive and practical grounds but the theory underlying it is not well developed moreover the extent to which bid price controls represent optimal or near optimal policies is not well understood using a general model of the demand process we show that bid price control is not optimal in general and analyze why bid price schemes can fail to produce correct accept deny decisions however we prove that when leg capacities and sales volumes are large bid price controls are asymptotically optimal provided the right bid prices are used we also provide analytical upper bounds on the optimal revenue in addition we analyze properties of the asymptotically optimal bid prices for example we show they are constant over time even when demand is nonstationary and that they may not be unique

a continuous time yield management model with multiple prices and reversible price changes this article studies a continuous time yield management model in which reversible price changes are allowed we assume that perishable assets are offered at a set of discrete price levels demand at each level is a poisson process to maximize the expected revenue management controls the price dynamically as sales evolve we show that a subset of these prices that form a concave envelope is potentially optimal we formulate the problem into an intensity control model and derive the optimal solution in closed form properties of the optimal solution and their policy implementations are discussed numerical examples are provided

simultaneous capacity and price control based on fuzzy controllers abstract analyzing the basic conditions of modern service and production processes the strengthened competition constraints and unpredictable demand fluctuations are obvious to cause an intense pressure to on the one hand reduce costs through an efficient process control and on the other hand optimize revenue through an adequate capacity and price control demand sided revenue optimization the objective of this article is to identify the revenue potential of a rule based implementation of revenue management as a method for simultaneous capacity and price control first the general conduction of this integrated method is described based on the available literature second the limitations and constraints in the use of the underlying model especially in terms of the applicability in practice and the impreciseness of information are illustrated third a solution concept is established that is able to cope with these limitations one crucial part will be the use of a fuzzy expert controller to handle the rule based approach after the description of the general use of fuzzy expert controllers an application for cases of fixed prices based on an example of the waste incineration industry is illustrated

maximizing revenues of perishable assets with a risk factor this article presents a risk sensitive pricing model to maximize sales revenue of perishable commodities with fixed capacity and finite sales horizon the model assumes a pair of predetermined prices and the poisson demand process whose intensity is a decreasing function of price when optimizing the expected revenue management takes business risk into account by adding a penalty or premium to the objective function we solve the continuous time model with the exact solution in closed form we further analyze the influence of risk attitude on optimal policies

a future for carbon taxes abstract carbon taxes have been frequently advocated as a cost effective instrument for reducing emissions however in the practice of environmental policies only six countries have implemented taxes based on the carbon content of the energy products in this paper we evaluate carbon taxes with regard to their competitiveness distributional and environmental impacts the evidence shows that carbon taxes may be an interesting policy option and that their main negative impacts may be compensated through the design of the tax and the use of the generated fiscal revenues

testing for temporal reliability in contingent valuation with time for changes in factors affecting demand we develop a temporal reliability test of the contingent valuation method separate random samples were administered the same telephone survey five years apart in the retest respondents have less favorable attitudes toward the environment given this result a temporally reliable contingent valuation would find lower willingness to pay we find that the estimates are temporally reliable after accounting for attitudes which have changed over the five year period values are not significantly different five years apart this study provides additional evidence that use of the contingent valuation method can provide useful information for environmental policy analysis

revenue management for low cost providers low cost providers have emerged as important players in many service industries the most predominant being low cost or the so called discount airlines this paper presents models and results leading toward understanding the revenue management outlook for a discount pricing firm a framework and model is formulated specifically for the airline industry but is generalizable to low cost providers in similar revenue management settings we formulate an optimal pricing control model for a firm that must underprice to capture a segment of exogenous demand two specific model formulations are considered a continuous deterministic version and a discrete stochastic version structural results are derived for the deterministic case providing insight into the general form of optimal underpricing policies the stochastic results support the structural insight from the deterministic solution and illuminate the effect of randomness on the underpricing policies

congestion land use and job dispersion a general equilibrium model abstract in dispersed cities congestion tolls would drive up central wages and rents and would induce centrally located producers to want to disperse closer to their workers and their customers paying lower rents and realizing productivity gains from land to labor substitution but the tolls would also induce residents to want to locate more centrally in order to economize on commuting and shopping travel in a computable general equilibrium model we find that the centralizing effect of tolls on residences dominates on the decentralizing effect of tolls on firms causing the dispersed city to have more centralized job and population densities under stylized parameters we find that efficiency gains from levying congestion tolls on work and shopping travel are 3 0 of average income about 80 of such gains come from road planning and 20 from tolls

optimal environmental taxation in the presence of other taxes general equilibrium analyses this paper examines the optimal setting of environmental taxes in economies where other distortionary taxes are present we employ analytical and numerical models to explore the degree to which in a second best economy optimal environmental tax rates differ from the rates implied by the pigovian principle according to which the optimal tax rate equals the marginal environmental damages both models indicate contrary to what several analysts have suggested that the optimal tax rate on emissions of a given pollutant is generally less than the rate supported by the pigovian principle moreover the optimal rate is lower the larger are the distortions posed by ordinary taxes numerical results indicate that previous studies may have seriously overstated the size of the optimal carbon tax by disregarding pre existing taxes this abstract was borrowed from another version of this item

periodic pricing of seasonal products in retailing this paper studies intertemporal pricing policies when selling seasonal products in retail stores we first present a continuous time model where a seller faces a stochastic arrival of customers with different valuations of the product for this model we characterize the optimal pricing policies as functions of time and inventory we use this model as a benchmark against which we compare more realistic models that consider periodic pricing reviews we show that the structure of the optimal pricing policies in this case is consistent with the procedures observed in practice retail stores successively discount the product during the season and promote a liquidation sale at the end of the planning horizon we also show that the loss experienced when implementing periodic pricing reviews instead of continuous policies is small when the appropriate number of reviews is chosen several interesting economic insights emerge from our analysis for example uncertainty in the demand for new products leads to higher prices larger discounts and more unsold inventory finally we study the effect of announced discount policies on prices and profits we show that stores that have adopted this type of strategy usually set prices such that with high probability the merchandise is sold during the first periods and the largest discounts rarely take place

pricing in revenue management for multiple firms competing for customers abstract we consider the pricing strategies of multiple firms providing the same service in competition for a common pool of customers in a revenue management context the firms have finite capacity and the demand at each firm depends on the selling prices charged by all firms each of which satisfies demand up to a given capacity limit we use game theory to analyze the systems when firms face either a deterministic demand or a general stochastic demand the existence and uniqueness conditions of a nash equilibrium are derived and we calculate the explicit nash equilibrium point when the demand at each firm is a linear function of price we also conduct sensitivity analysis of the equilibrium prices with respect to cost and capacity parameters

household transport demand in a cge framework the main objective of this study is to improve the modelling of household demand for transport services in a computable general equilibrium cge model the new extended model is then used for numerical calculations to test how the swedish economy reacts to a carbon target special attention will be given to distributional effects and the connection between labour supply and work journeys in a sparsely populated country like sweden a differentiation between trip purposes and trip length a complementary relationship between work journeys and labour supply and a subdivision of households by density of population and income influence the numerical results our main conclusions from the analysis of a carbon target are that if the carbon tax revenue is recycled by decreasing the employers social contribution fee welfare costs are lower than with lump sum replacements of tax revenue to households the welfare cost may be reduced even further if work journeys are not additionally taxed as compared to the base year however the lower total welfare cost is obtained at the expense of making society more unequal since both labour tax recycling cuts in employers social contributions and exempting tax on work journeys will make low income groups carry a higher burden an increased carbon dioxide tax is also shown to increase welfare differences between sparsely populated areas and city regions in sweden

optimal bundle formation and pricing of two products with limited stock abstract in this study we consider the stochastic modeling of a retail firm that sells two types of perishable products in a single period not only as independent items but also as a bundle our emphasis is on understanding the bundling practices on the inventory and pricing decisions of the firm one of the issues we address is to decide on the number of bundles to be formed from the initial product inventory levels and the price of the bundle to maximize the expected profit product demands follow a poisson process with a price dependent rate customer reservation prices are assumed to have a joint distribution we study the impact of reservation price distributions initial inventory levels product prices demand arrival rates and cost of bundling we observe that the expected profit decreases as the correlation between the reservation prices of two products increases with negative correlation bundling cost has a significant impact on the number of bundles formed when the product prices are low the retailer sells individual products as well as the bundle mixed bundling when they are high the retailer sells only bundles pure bundling the expected profit and the number of bundles offered decrease as the variance of the reservation price distribution increases for high starting inventory levels the retailer reduces bundle price and offers more bundles the number of bundle sales decreases and the number of individual product sales increases when the arrival rate increases since the need for bundling decreases impacts of substitutability and complementarity of products are also investigated the retailer forms more bundles or charges higher prices for the bundle or both as the products become more complementary and less substitutable

optimal pricing for information goods with piracy and saturation effect we analyze the pricing decision of a firm selling a product for which there is a significant and continuous saturation effect over time and that can be pirated assuming that the firm uses a skimming strategy we solve three profit maximization models given demand that is linearly decreasing in price few prices can be used over the life of the product the effects of both piracy and saturation are combined in the first model in the second model the firm can invest in technology or copyright enforcement to reduce piracy the third model describes the case in which piracy leads to increased awareness of the product and increased demand numerical sensitivity analysis and examples are used to illustrate the results the results indicate that under strong piracy and saturation effects a skimming strategy is suboptimal

a taxonomy and research overview of perishable asset revenue management yield management overbooking and pricing this paper proposes the term perishable asset revenue management to denote the field that combines the areas of yield management overbooking and pricing for perishable assets after summarizing the characteristics common to problems in this field the paper discusses the objectives and constraints faced by decision makers then it offers a comprehensive taxonomy with 14 different elements and reviews the research that has been done related to each element finally it suggests some important areas of future research that can help bridge the gap between theory and application

airline seat allocation with multiple nested fare classes this paper addresses the problem of determining optimal booking policies for multiple fare classes that share the same seating pool on one leg of an airline flight when seats are booked in a nested fashion and when lower fare classes book before higher ones we show that a fixed limit booking policy that maximizes expected revenue can be characterized by a simple set of conditions on the subdifferential of the expected revenue function these conditions are appropriate for either the discrete or continuous demand cases these conditions are further simplified to a set of conditions that relate the probability distributions of demand for the various fare classes to their respective fares the latter conditions are guaranteed to have a solution when the joint probability distribution of demand is continuous characterization of the problem as a series of monotone optimal stopping problems proves optimality of the fixed limit policy over all admissible policies a comparison is made of the optimal solutions

a multiproduct dynamic pricing problem and its applications to network yield management a firm has inventories of a set of components that are used to produce a set of products there is a finite horizon over which the firm can sell its products demand for each product is a stochastic point process with an intensity that is a function of the vector of prices for the products and the time at which these prices are offered the problem is to price the finished products so as to maximize total expected revenue over the finite sales horizon an upper bound on the optimal expected revenue is established by analyzing a deterministic version of the problem the solution to the deterministic problem suggests two heuristics for the stochastic problem that are shown to be asymptotically optimal as the expected sales volume tends to infinity several applications of the model to network yield management are given numerical examples illustrate both the range of problems that can be modeled under this framework and the effectiveness of the proposed heuristics the results provide several fundamental insights into the performance of yield management systems

the optimal subsidy on electric vehicles in german metropolitan areas a spatial general equilibrium analysis abstract e mobility and diffusion of electric vehicles have become a major policy issue in many countries for example the german federal government pursues the strategy of achieving one million electric vehicles by 2020 in this paper we examine whether it is optimal to subsidize the use of electric vehicles by granting electric power subsidies and how large the corresponding optimal rate is we first analytically derive the optimal power tax in a spatial model of a city with two zones where commuting carbon emissions endogenous labor supply fuel and power taxes are considered it is shown that in a spatial urban environment the optimal tax rate depends in particular on transport related externalities tax interaction effects and redistribution effects working via the urban land market second we extend the model to a full spatial general equilibrium model and employ simulations to calculate sign and size of the optimal tax subsidy rate this model is calibrated to a typical german metropolitan area the results show that electric vehicles should not be subsidized but taxed the results are robust with respect to changes in the willingness to adopt electric vehicles the costs of driving electric vehicles and even if emissions of electric vehicles are zero

revenue recycling and the welfare effects of road pricing the authors explore the interaction between taxes on work related traffic congestion and preexisting distortionary taxes in the labor market a congestion tax raises the overall costs of commuting to work and discourages labor force participation at the margin when revenues are returned in lump sum transfers the resulting efficiency loss in the labor market can be larger that the pigouvian efficiency gains from internalizing the congestion externality by contrast if congestion tax revenues are used to reduce labor taxes the net impact on the labor supply is positive and the efficiency gain in the labor market can raise the overall welfare gains of the congestion tax by as much as 100 percent recycling congestion tax revenues in public transit subsidies produces a positive but smaller impact on the labor supply in short the authors results indicate that the presence of preexisting tax distortions and the form of revenue recycling can crucially affect the size and possibly even the sign of the welfare effect of road pricing schemes the efficiency gains from recycling congestion tax revenues in other tax reductions can amount to several times the pigouvian welfare gains from congestion reduction

technical note price trends in a dynamic pricing model with heterogeneous customers a martingale perspective this note describes probabilistic properties of optimal price sample paths in a dynamic pricing model with a finite horizon and limited stock we assume that customer arrivals follow a nonhomogeneous poisson process we show that if customers willingness to pay increases rapidly over time then the optimal price process follows a submartingale which implies an upward price trend alternatively if customers willingness to pay decreases rapidly over time then the optimal price process follows a supermartingale which implies a downward price trend

the stochastic knapsack revisited switch over policies and dynamic pricing the stochastic knapsack has been used as a model in wide ranging applications from dynamic resource allocation to admission control in telecommunication in recent years a variation of the model has become a basic tool in studying problems that arise in revenue management and dynamic flexible pricing and it is in this context that our study is undertaken based on a dynamic programming formulation and associated properties of the value function we study in this paper a class of control that we call switch over policies start by accepting only orders of the highest price and switch to including lower prices as time goes by with the switch over times optimally decided via convex programming we establish the asymptotic optimality of the switch over policy and develop pricing models based on this policy to optimize the price reductions over the decision horizon

technical note personalized dynamic pricing of limited inventories prior work has investigated time and inventory level dependent pricing of limited inventories with finite selling horizons we consider a third dimension in addition to time and inventory level that the firms can use in setting their prices the information that the firm has at the individual customer level an arriving customer provides a signal to the firm which is an imperfect indicator of the customer s willingness to pay and the firm makes a personalized price offer depending on the signal inventory level and time we consider two different models full personalization and partial personalization in the full personalization model the firm charges any price it wishes given the customer signal while in the partial personalization model the firm can charge one of two prices we find that a mere correlation between the signals and customers willingness to pay is not sufficient to ensure intuitive relationships between the signal and the optimal prices we determine a stronger condition which leads to several structural properties including the monotonicity of the optimal price with respect to the signal in the full personalization model for the partial personalization model we show that the optimal pricing policy is of threshold type and that the threshold is monotonic in the inventory level and time