Existence,uniqueness and some comparative statics for ratio and Lindahl equilibria

We present a rigorous, yet elementary, demonstration of the existence of a unique Lindahl equilibrium under the assumptions that characterize the standard n-player public good model. Indeed, our approach, which exploits the aggregative structure of the public good model, lends itself to a transparent geometric representation. Moreover, it can handle the more general concept of the cost share or ratio equilibrium. Finally, we indicate how it may be exploited to facilitate comparative static analysis of Lindahl and cost share equilibria.      

Wicksell, Lindahl and the Theory of Public Goods

Wicksell's and Lindahl's ideas on public goods and decisions are reviewed in light of later developments in the theoretical economics literature. I begin by discussing their normative ideals, in particular the notion of justness, and the sources of the difficulties in reaching them. Wicksell's and Lindahl's ideal states, as well as the obstacles that they perceive, are compared to more recent views on free riding and on the behavior of elected representatives. Their views on political bargaining are then related to later concepts, in particular to the core of the economy.     

The core of an exchange economy with asymmetric information

This paper studies the core of an exchange economy in which agents are asymmetrically informed about states of nature. An agent's information is modelled as part of his consumption set and thus as part of his consumption plans. If an agent joins a coalition, his information changes according to an exogenously given information rule, a concept introduced by B. Allen. It is shown that an exchange economy with asymmetric information generates a well defined cooperative game and that the core of this game and thus the core of the underlying economy is nonempty. In contrast to recent results, this holds independently of the given information rule.     

Learning by Trial and Error: A Case for Moot Courts

This article describes the development of a computer tutorial for use in a history of economic ideas class. An early version of the tutorial contained ten topics, ranging from early Mercantilist thought to Jevons's marginal utility analysis. These concepts were presented in three ways: verbally, graphically, and in summary form. Student critiques were used to extend the content and revise the mode of presentation.     

公共物品自发供给与个体的偏好异质性效应分析

考察一期同时行动时,个体的偏好差异对公共物品自发供给的影响。模型在对数柯布-道格拉斯效用函数的基础上,设定了反映偏好(偏好差异量)程度的参数,分析个体们的总收入在未达到和越过公共物品生产的最小捐赠水平两种均衡状态下,个体的最佳决策及偏好异质性效应。研究结果表明:个体的偏好差异对公共物品产出的作用依赖于成员们的收入预算开支与公共物品固定成本的比较,“U”型曲线之说不合适。     

Pareto-Efficient Solutions for Shared Public Good Provision: Nash Bargaining versus Exchange-Matching-Lindahl

We compare two cooperation mechanisms for consumer/producers of a public good: the Nash Bargaining Solution (NBS) and the Exchange-Matching-Lindahl (EML) solution, where each agent specifies her demand for and supply of the public good according to her personal exchange rate. Both mechanisms are Pareto-efficient. EML is equivalent to matching. In our specific model with linear or quadratic benefits and quadratic costs, EML and NBS are equivalent when there are two agents. With more than two agents, the high-benefit/low-cost agents are better off under EML. We also analyze outsourcing, where agent i can pay agent j to produce the amount that agent i promised to contribute. In our specific model, payments from high-cost to low-cost agents (and from high-benefit to low-benefit agents) are (usually) lower in EML than in NBS.     

Congestion games with load-dependent failures: Identical resources

We define a new class of games, congestion games with load-dependent failures (CGLFs). In a CGLF each player can choose a subset of a set of available resources in order to try and perform his task. We assume that the resources are identical but that players' benefits from successful completion of their tasks may differ. Each resource is associated with a cost of use and a failure probability which are load-dependent. Although CGLFs in general do not have a pure strategy Nash equilibrium, we prove the existence of a pure strategy Nash equilibrium in every CGLF with nondecreasing cost functions. Moreover, we present a polynomial time algorithm for computing such an equilibrium.     

Private provision of discrete public goods

We investigate private provision of discrete public goods under refund and cost-sharing. If it is commonly believed that individuals may be warm-glow altruists and the group-size is a Poisson random variable, then the equilibrium distribution of collected contributions is uniquely determined. If composition uncertainty is very small and the expected group-size sufficiently large, the distribution of contributions can be described by concentrating in a symmetric mixed-strategy equilibrium. As the expected group-size increases, the probability a randomly selected player contributes and the associated expected number of contributions converge to the corresponding ones in the symmetric mixed-strategy equilibrium of the game with no uncertainty.     

Nash implementation with a private good

Summary. I construct a general model of social planning problems, including mixed production economies and regulatory problems with negative externalities as special cases, and I give simple mechanisms for Nash implementation under three increasingly general sets of assumptions. I first construct a continuous mechanism to implement the (constrained) Lindahl allocations of an economy, and I then extend this to arbitrary social choice rules based on prices. I end with a mechani sm to implement any monotonic social choice rule, assuming only the existence of a private (not necessarily transferable) good. In that general case, each agent simply reports an upper contour set, an outcome, and I need two agents to make binary numerical announcements. I do not require the usual no-veto-power condition. Received: February 19, 1998; revised version: January 30, 2002     

The overprovision anomaly of private public good supply

It is well known that private provision of a public good may lead to a higher supply than that in some Pareto optimal allocation. The traditional view attributes this overprovision anomaly to a specific kind of preferences. The present paper, however, shows that preferences do not play a decisive role. Assuming normality, overprovision will occur only if the distribution of income is extremely skewed and Pareto optimal allocations are not within the set of cost-share equilibria.     

Is it Harmful to Allow Partial Cooperation?

In economics, politics and society, examples abound in economics, politics and society where agents can enter partial cooperation schemes, i.e., they can collude with a subset of agents. Several contributions devoted to specific settings have claimed that such partial cooperation actually worsens welfare compared to the no-cooperation situation. Our paper assesses this view by highlighting the forces that lead to such results. We find that the nature of strategic spillovers is central to determining whether partial cooperation is bad. Our propositions are then applied to various examples as industry wage bargaining or local public goods.
JEL classification: C 72; E 62; J 5     

大力发展农村合作组织 提高农村公共物品供给能力

随着农业税的取消,作为农村公共物品主要供给者的乡(镇)、村两级组织的收入大大减少,极大地影响了公共物品供给,严重制约了我国农村经济的发展和农民社会福祉的提高,成为构建社会主义新农村的一大瓶颈。文章认为,在新形势下,应充分认识到农村合作组织对缓解农村公共物品供给不足问题的重要作用,及时调整农村公共事业发展的思路,通过配套政策支持,大力发展农村合作组织,提高农村公共物品供给能力,以适应农村公共事业发展的需要。     

Two-sided altruism, Lindahl equilibrium, and Pareto optimality in overlapping generations models

Summary. This paper extends the Samuelsonian overlapping generations general equilibrium framework to encompass a variety of altruistic preferences by recasting it into a Lindahl equilibrium framework. The First and the Second Welfare theorems hold for Lindahl equilibrium with respect to the Malinvaud optimality criterion but not with respect to the Pareto optimality criterion. A complete characterization of Pareto optimal allocations is provided using the Lindahl equilibrium prices.Received: 2 October 2003, Revised: 13 September 2004, JEL Classification Numbers: D51, D62, D64, C62.An earlier draft of the paper was prepared for presentation at the Sixth World Congress of the Econometric Society, 1990, Barcelona, Spain. Much of this work was done when I was at Yale University and University of California-San Diego. I am grateful to an anonymous referee of this journal and to Don Brown, Vince Crawford and Joel Sobel for many insightful comments and encouragements on an earlier draft of the paper.     

农村社区公共物品的农户自愿供给——基于声誉理论的分析

农户的声誉不仅能给农户带来直接效用,它还具备信息效应与资本效应,对农户参与农村社区公共物品供给博弈的均衡路径产生重要影响。在独立博弈下,声誉的直接效用能使农户采取合作行动;在关联博弈和重复博弈中,声誉的信息及资本效应对农户的偷懒行为有很强的约束,将导致博弈进入合作均衡。因此基于声誉损益的考虑,由农户自愿供给农村社区内的公共物品会是一个有效的结果。     

Non-monotonic welfare dynamics in a growing economy

In an overlapping generations economy with endogenous income growth, I combine themes from the work of Cooper et al. (2001), Kapur (2005) and Eaton and Eswaran (2009) in order to provide an example of an economy whose welfare dynamics are non-monotonic. Particularly, the evolution of social welfare can be distinguished between two different regimes that arise naturally during the process of economic development. At relatively early stages, status concerns are inactive and welfare increases following the rising consumption of normal goods. During the later stages, however, individuals engage in some type of status competition that does not allow consumption to improve their well-being: their welfare actually declines as successive generations of agents increase labour effort at the expense of leisure.     

Cournot-Nash and Lindahl equilibria in pure public “bad” economies

Summary. Using a general equilibrium framework, this paper analyzes the equilibrium provision of a pure public bad commodity (for example pollution). Considering a finite economy with one desired private good and one pure public “bad” we explicitly introduce the concept of Lindahl equilibrium and the Lindahl prices into a pure public bad economy. Then, the Lindahl provision is analyzed and compared with the Cournot-Nash provision. The main results for economies with heterogeneous agents state that the asymptotic Lindahl allocation of the pure public bad is the null allocation. In contrast, the asymptotic Cournot-Nash provision of the public bad might approach infinity. Other results were obtained in concert with the broad analysis of the large finite economies with pure public bad commodities. Received: July 26, 2001; revised version: March 12, 2002 RID="*" ID="*" We are indebt to Nicholas Yannelis and anonymous referee for their valuable comments and suggestions. Correspondence to: B. Shitovitz     

Strength of the Social Dilemma in a Public Goods Experiment: An Exploration of the Error Hypothesis

We present the results of an experiment on voluntary contributions to a public good with a unique dominant strategy equilibrium in the interior of the strategy space. The treatment variable is the equilibrium contribution level. By increasing the equilibrium contribution level, we reduce the strength of the social dilemma. Though we observe that the average level of contribution rises with the equilibrium contribution level, the average rate of over-contribution is not affected in a systematic way. Over-contribution is statistically significant only at the lower level of equilibrium contribution but not at the higher levels. We show that the Anderson et al. (1998, Journal of Public Economics. 70, 297–323) logit equilibrium model which combines altruism and decision errors fits quite well our laboratory data.     

An Analysis of Congestion Measures and Heterogeneous Angler Preferences in a Random Utility Model of Recreational Fishing

The potential importance ofcongestion effects on the management andrationing of recreational facilities andservices in the presence of heterogeneouspreferences were highlighted nearly twenty-fiveyears ago by Freeman and Haveman (1977). Whilethere have been a number of theoretical modelsextending and expanding upon this work(McConnell 1988; Anderson 1993), empiricalresearch evaluating such impacts is limited. Evidence of the potential impacts of congestionon resource usage is of obvious importance,especially for natural resource managers whounderstand that congestion can be an effectiverationing device and because users likelydiffer in both their preferences for use andaversion to congestion. It is the objective ofthis research to compare alternative measuresof congestion for explaining site choice withina random utility modeling framework. Thecongestion measures differ with respect to thetime horizon over which they are assumed to beformulated and the measure of central tendencyused to represent them. Furthermore, weinvestigate how the response to thesecongestion measures may differ across twodistinct angler types and the implications ofthose differences on the per trip willingnessto pay for stock enhancement.