note on the open loop von stackelberg equilibrium in the cartel versus fringe model one of the ways to model the supply side of the world oil market is by means of the cartel versus fringe model and to employ the open loop von stackelberg equilibrium concept this note shows that the equilibrium as presented in the literature does not satisfy the optimality conditions for the open loop equilibrium the authors show furthermore that in contrast with the prevailing view the equilibrium can display discontinuous price trajectories copyright 1992 by royal economic society

positive feedback in skill aggregation across chinese cities this paper examines whether human capital levels diverged across chinese cities between 1990 and 2010 by employing a series of instruments for the initial human capital share consistent positive

an empirical analysis of the daily labor supply of stadium venors this paper analyzes the daily labor supply behavior of food and beverage vendors at a single stadium over an entire baseball season this labor market is attractive for the study of labor supply both because ofvendors unilateraly decide whether to participate on each game date and because canges in product demand conditions across days are large and highly predictable generating exogenous game to game variation in the vendor wage i exploit the observable shift in product demand conditions across games to esumate the labor supply participation elasticity of stadium vendors estimates that recognize that demand conditions and vendor labor supply decisions simultancously determine the venofdor wage always find substantial labor supply elasticities typically in the 55 65 range in contract estimates that ignore the endoreneity of the ties these results highlight the imporatance of using demand shift markets

oligopoly equilibria in nonrenewable resource markets abstract most nash cournot oligopoly models of nonrenewable resources apply open loop equilibrium concepts and are based on physical resource depletion this paper studies feedback equilibria and economic depletion assuming affine quadratic functional forms the existence uniqueness and explicit solutions for the equilibria are derived for duopoly and n player oligopoly with multiple resource stocks for the cases of nonquadratic criteria we develop a numeric solution scheme for the nash feedback equilibrium this scheme is an application of a discrete time discrete state controlled markov chain approximation method originally developed for solving deterministic and stochastic dynamic optimization problems in our nash cournot equilibrium the degree of concentration in supply declines over time whereas the previous models with physical depletion and open loop equilibrium concepts predict that a nash cournot resource market will develop in the direction of monopoly supply

backward induction algorithm for a class of closed loop stackelberg games abstract in the paper a new deterministic continuum strategy two player discrete time dynamic stackelberg game is proposed with fixed finite time duration and closed loop information structure the considered payoff functions can be widely used in different applications mainly in conflicts of consuming a limited resource where one player called leader is a superior authority choosing strategy first and another player called follower chooses after in case of convex payoff functions and certain parameter values we give a new particular backward induction algorithm which can be easily realized to find a leader follower equilibrium of the game in a certain sequential equilibrium realization from the last step towards the first one with respect to the current strategy choices of the players considerations on uniqueness and game regulation i e setting parameters of the game to achieve a predefined equilibrium are also provided the finite version of the game with finite strategy sets is also given along with its simplification and solution method several practical examples are shown to illustrate the comprehensive application possibilities of the results

analytical solutions to a structural signal extraction model lucas 1972 revisited abstract i construct in this article a simple adaptation of lucas 1972 article on the neutrality of money a closed form solution is derived which allows to understand a number of positive and normative properties of the model

strong time consistency in the cartel versus fringe model due to developments on the oil market in the 1970s the theory of exhaustible resources was extended with the cartel versus fringe model to characterize markets with one big coherent cartel and a large number of small suppliers called the fringe because cartel and fringe are leader and follower the von stackelberg solution concept is appropriate for the supply side of this market the solution for the cartel versus fringe model presented in the previous literature proved to be time inconsistent for a large plausible range of values for extraction costs and initial reserves this paper provides a strongly time consistent solution for the cartel versus fringe model

optimal taxation in the presence of tax evasion expected utility versus prospect theory abstract it is now well known that the predictions of expected utility theory eut applied to tax evasion are quantitatively and qualitatively at variance with the evidence while prospect theory pt makes the correct predictions in this literature the tax rate is exogenous we endogenize the tax rate and require that a successful theory should explain jointly the facts on the tax rate tax gap and the level of government expenditure we find that the data is best described by taxpayers using pt and the government using standard utility theory eut the results are robust to several possible alternative specifications we discuss how our results have a bearing on the debate between liberalism versus paternalism in behavioral economics we also propose an alternative explanation based on the notion of context dependent preferences

equilibrium unemployment job flows and inflation dynamics this paper develops a general equilibrium model to explain a set of facts regarding job flows unemployment and inflation dynamics it integrates a theory of equilibrium unemployment into a monetary model with nominal price rigidities the labor market displays matching frictions and endogenous job destruction the model can explain the cyclical behavior of unemployment job creation job destruction and the joint fluctuations of the labor input along both the extensive and the intensive margin conditional on a shock to monetary policy allowing for variation of the labor input at the extensive margin leads to a significantly lower elasticity of marginal costs with respect to output this helps to explain the sluggishness of inflation and the persistence of output after a monetary policy shock

on price taking behavior in a nonrenewable resource cartel fringe game abstract we consider a nonrenewable resource game with one cartel and a set of fringe members we show that i the outcomes of the closed loop and the open loop nonrenewable resource game with the fringe members as price takers the cartel fringe game a la salant 1976 coincide and ii when the number of fringe firms becomes arbitrarily large the equilibrium outcome of the closed loop nash game does not coincide with the equilibrium outcome of the closed loop cartel fringe game thus the outcome of the cartel fringe open loop equilibrium can be supported as an outcome of a subgame perfect equilibrium however the interpretation of the cartel fringe model where from the outset the fringe is assumed to be price taker as a limit case of an asymmetric oligopoly with the agents playing nash cournot does not extend to the case where firms can use closed loop strategies

a theory of oil igopoly cournot equilibrium in exhaustible resource markets with fixed supplies the emergence of an effective and powerful cartel in the international petroleum market has stimulated considerable effort among economists to develop models of pricing and supply behavior for this industry 2 this modeling task poses two basic difficulties first as in the standard oligopoly problem one must characterize the behavior of several sellers in a market aware of each other and of their effect on market price second there is here the added difficulty of treating the explicitly intertemporal nature of suppliers decision wherein a limited stock must be optimally allocated over time this paper studies the implications of the simplest non trivial postulates about these two aspects of the problem it is assumed that suppliers are non cooperative cournot nash players each of whom is imagined to select an optimal supply strategy taking as given the strategies of the others moreover it is hypothesized that the feasible strategies are limited to open loop paths chosen at the initial date to maximize the present value of profits in light of the paths of supply which the others have chosen 3 these basic postulates together with a few technical assumptions concerning the structure of resource demand permit one to demonstrate the existence of at least one non cooperative equilibrium concerning thisequilibrium we show that 1 the average and marginal return on resource stocks is inversely related to the size of a player s initial endowment 2 aggregate production decreases over time until all stocks are exhausted while firms with smaller stocks exhaust their supplies no later than firms with larger stocks do 3 the present value of price net of extraction cost declines over time 4 industry production maximizes a weighted average of intertemporal consumer s surplus and producers profits

ordering the extraction of polluting nonrenewable resources energy markets are often characterized by the use of multiple nonrenewable resources such as coal and natural gas with different pollution characteristics the same resource may have different qualities as when high and low sulfur coal is used to generate electricity multiple resources are used in providing transportation services such as cars running on gasoline or plug in hybrids that may be fueled by electricity produced from coal when these nonrenewable resources contribute differentially to pollution what is the opti mal sequence of extraction over time harold hotelling 1931 developed the classical theory of extraction of a nonrenewable resource orris c herfindahl 1967 extended the hotelling model by considering many resources with different unit costs of extraction and proposed the least cost first principle extraction must be ordered by cost with the cheapest resource used first others have examined whether herfindahl s model remains valid in a variety of situations in a general equilibrium setting see murray kemp and ngo v long 1980 tracy r lewis 1982 in the presence of setup costs g rard gaudet moreaux and stephen w salant 2001 under het erogeneous demands chakravorty and darrell l krulce 1994 and when the extraction rate is constrained jean pierre amigues et al 1998 stephen p holland 2003 in these studies following hotelling and herfindahl resources were differentiated by cost alone in this paper we abstract from cost considerations and focus on how the sequence of extraction may be affected when resources are differentiated only by their pollution character istics we consider two resources one more polluting than the other without loss of generality consider coal to be the dirty resource and natural gas the clean one both may be used to generate electricity environmental regulation is imposed through a cap on the stock of pollution this may be a stylized approximation of an international agreement such as the kyoto protocol which aims to stabilize the concentration of greenhouse gases in the atmosphere 1 with heterogeneity in pollution the results are nonintuitive and do not depend on the emis sion rates of the resources when the economy is already at its allowable stock of pollution the clean natural gas is used first and use of the dirty coal is postponed to the future this is what one would expect armed with insights from the herfindahl model however when the economy starts from below the ceiling and accumulates pollution coal may be used first and use of the clean natural gas is postponed the optimal strategy is to benefit from natural dilution by build ing the stock of pollution as quickly as possible this is done by burning coal rather than natural

inflation stabilization and welfare the case of a distorted steady state this paper considers the appropriate stabilization objectives for monetary policy in a microfounded model with staggered price setting rotemberg and woodford 1997 and woodford 2002 have shown that under certain conditions a local approximation to the expected utility of the representative household in a model of this kind is related inversely to the expected discounted value of a conventional quadratic loss function in which each period s loss is a weighted average of squared deviations of inflation and an output gap measure from their optimal values zero however those derivations rely on an assumption of the existence of an output or employment subsidy that offsets the distortion due to the market power of monopolistically competitive price setters so that the steady state under a zero inflation policy involves an efficient level of output here we show how to dispense with this unappealing assumption so that a valid linear quadratic approximation to the optimal policy problem is possible even when the steady state is distorted to an arbitrary extent allowing for tax distortions as well as market power and when as a consequence it is necessary to take account of the effects of stabilization policy on the average level of output we again obtain a welfare theoretic loss function that involves both inflation and an appropriately defined output gap though the degree of distortion of the steady state affects both the weights on the two stabilization objectives and the definition of the welfare relevant output gap in the light of these results we reconsider the conditions under which complete price stability is optimal and find that they are more restrictive in the case of a distorted steady state we also consider the conditions under which pure randomization of monetary policy can be welfare improving and find that this is possible in the case of a sufficiently distorted steady state though the parameter values required are probably not empirically realistic

the elasticity of intertemporal substitution new evidence from 401 k participation abstract using health and retirement study data and a structural econometric model we exploit variation in employer matching rates in 401 k plans to generate new estimates of the eis 0 74 in our richest specification with a 95 confidence interval of 0 37 1 21

rational expectations and loss aversion potential output and welfare implications abstract we add some elements of prospect theory to an analytically tractable version of lucas s islands model and show that the inclusion of reference dependence declining sensitivity and loss aversion into the agents utility function leads to four main results first the presence of behavioral elements negatively affects the natural level of output second loss aversion reduces output variance third the expected utility of a representative agent is generally lower than that obtained when loss aversion is absent fourth the presence of loss aversion eliminates the paradoxical increase in expected utility that may be generated in the standard model by an increase in monetary policy uncertainty

economic targets and loss aversion in international environmental cooperation in the standard emission problem each countryi s ruling party decides on an optimal level of emissions by analyzing the cost and benefit to the country however such policy decisions are often influenced by political partiesi incentives to be elected voters tend to give higher priority to economic issues than they do to environmental ones as a result political parties have additional incentives to reach a critical economic benefit level at a cost of higher emission level in order to satisfy votersi expectations in economic issues therefore this study explores the implications of political parties being averse to insufficient economic performance relative to a critical economic target level on sustaining an international environmental agreement on emission levels in doing so we allow countries to have asymmetric concerns about economic targets as well as asymmetric technology levels we find that stronger concerns about economic targets deter the most cooperative emission levels countries could jointly sustain furthermore technological asymmetry could either deepen or offset this impact these results suggest that efforts on achieving substantial international environmental agreements should be supported at the citizen level to eliminate the adverse effects

economic targets and loss aversion in international environmental cooperation economic targets in environmental coopeartion in the standard emission problem each country s ruling party decides on an optimal level of emissions by analyzing the cost and benefit to the country however such policy decisions are often influenced by political parties incentives to be elected voters tend to give higher priority to economic issues than they do to environmental ones as a result political parties have additional incentives to reach a critical economic benefit level at a cost of higher emission level in order to satisfy voters expectations in economic issues therefore this study explores the implications of political parties being averse to insufficient economic performance relative to a critical economic target level on sustaining an international environmental agreement on emission levels in doing so we allow countries to have asymmetric concerns about economic targets as well as asymmetric technology levels we find that stronger concerns about economic targets deter the most cooperative emission levels countries could jointly sustain furthermore technological asymmetry could either deepen or offset this impact these results suggest that efforts on achieving substantial international environmental agreements should be supported at the citizen level to eliminate the adverse effects

an index of loss aversion to a considerable extent risk aversion as it is commonly observed is caused by loss aversion several indexes of loss aversion have been proposed in the literature the one proposed in this paper leads to a clear decomposition of risk attitude into three distinct components basic utility probability weighting and loss aversion the index is independent of the unit of payment the main theorem shows how the indexes of different decision makers can be compared through observed choices

exhaustible resources and alternative equilibrium concepts we compare the open loop and feedback nash equilibria that obtain in oligopolistic resource markets when the resource is exhaustible and privately owned when the resource is common property the two equilibrium concepts are known to yield significantly different results under the regime of private property the choice of equilibrium concept does not appear to be as important restricting our attention to the cases of iso elastic demand and zero extraction costs and linear demand and quadratic extraction costs we identify instances where the open loop and feedback nash equilibria coincide and demonstrate that in other cases the two equilibria do not differ significantly

private storage of common property abstract many resources extracted under the rule of capture are not utilized immediately but are stored instead for later use oil is stockpiled fish are frozen groundwater is bottled rivers are dammed land deforested as the way to establish title remains uncultivated we examine the positive and normative effects of such storage privatization of common property through storage may eliminate inefficiencies altogether but the accelerated extraction it induces may also exacerbate them even if rapid extraction does not reduce ultimate recovery once storage commences extraction accelerates until the open access reserves are drained in limiting cases these speculative acquisitions are instantaneous the naturally occurring analogue of policy induced speculative attacks studied in the international finance literature when some reserves are privately owned while others are open access the order of extraction no longer follows the progression from lowest to highest per unit cost first noted by o c herfindahl in extractive resources and taxation m gaffney ed univ of wisconsin press madism 1997 instead the common property may be extracted in its entirety before any private reserves are extracted even if it has the higher per unit extraction cost

on nonrenewable resource oligopolies the asymmetric case we give a full characterization of the open loop nash equilibrium of a nonrenewable resource game between two types of firms differing in extraction costs we show that i there almost always exists a phase where both types of firms supply simultaneously ii when the high cost mines are exploited by a number of firms that goes to infinity the equilibrium approaches the cartel versus fringe equilibrium with the fringe firms acting as price takers and iii the cheaper resource may not be exhausted first a violation of the herfindahl rule that may be detrimental to social welfare

labor supply of new york city cabdrivers one day at a time life cycle models of labor supply predict a positive relationship between hours supplied and transitory changes in wages because such changes have virtually no effect on life cycle wealth previous attempts to test this hypothesis empirically with time series data have not been supportive estimated elasticities are typically negative or nonsignificant such analyses however are vulnerable to measurement error and other estimation problems we use data on daily observations of wages and hours for new york city cab drivers to estimate the supply response to transitory fluctuations in wages cab drivers decide daily how many hours to supply and face wages that are positively correlated within days but largely uncorrelated between days using these data our central finding is that wage elasticities are persistently negative from 5 to 1 in three different samples even after correcting for measurement error using instrumental variables these negative wage elasticities challenge the notion that cab drivers trade off labor and leisure at different points in time and question the empirical adequacy of life cycle formulations of labor supply

oligopoly extraction of a common property natural resource the importance of the period of commitment in dynamic games the theory of noncooperative dynamic games has provided an extremely powerful framework for studying many of the classic questions in industrial organization for example questions about resource extraction advertising research and development investment in new capacity and barriers to entry where interactions over time among few firms are involved however an important methodological issue arises when economic competition over time is modeled as a dynamic game the issue is the appropriate formulation of the players strategy spaces

first order risk aversion and the equity premium puzzle abstract this paper integrates yaari s dual theory of choice under uncertainty into a multiperiod context and examines its implications for the equity premium puzzle an important property of these preferences is that of first order risk aversion which implies in our model that the risk premium for a small gamble is proportional to the standard deviation rather than the variance since the standard deviation of the growth rate in aggregate consumption is considerably larger than its variance the model can generate both a small risk free rate and a moderate equity premium