Electoral competition under imperfect information

Summary. This paper considers electoral competition between two office-motivated parties and one voter, in the presence of two alternative policies and under imperfect information. The theory of refinements of Nash equilibrium predicts the outcome of this three-player game: both parties faithfully use their information and try to find the best policy for the voter. We discuss the meaning of this model for Politics and prove that the same result holds for any number of voters, provided that parties are expected plurality maximizers and that voters satisfy a version of the sincere voting assumption adapted to this strategic setting.Received: 12 December 2001, Revised: 16 June 2003JEL Classification Numbers: C72, D72, D82.Correspondence to: Jean-François LaslierThanks to Gabrielle Demange, Françoise Forges, Roger Guesnerie, Jean-Fran çois Mertens, Thomas Palfrey, Sylvain Sorin and other participants in workshops and conferences in Caen, Paris, Caltech and Yale. Thanks also to two anonymous referees and to Paul Heidues and Johan Lagerlöf for their comments. This work was originated when K. Van der Straeten was at THEMA (Université de Cergy-Pontoise) and DELTA.     

Rationing rule, imperfect information and equilibrium

Summary. The impact of imperfect information on the price setting behaviour of firms is analysed. Specifically, consumers support an information cost to become informed about prices. Firms are endowed with U-shaped average cost curves. If a firm does not supply more than its competitive supply as determined by its marginal cost schedule, then we show that the existence of a pure strategy equilibrium is conditional on the rationing rule employed. If uninformed consumers are served first then the monopoly price is the sole equilibrium whenever consumers' information costs are high enough. Otherwise, a pure strategy equilibrium fails to exist contrary to the results of Salop and Stiglitz (1977) or Braverman (1980) who implicitly suppose that firms supply all the demand at a given price. Received: May 17, 1999; revised version: September 15, 2000     

Environmental risk and welfare valuation under imperfect information

Consumers are often uninformed, or unsure, about the ambient level of environmental risk. An optimal policy must jointly determine efficient levels of self-protection, information provision, and public risk mitigation efforts. Unfortunately, conventional welfare measures are not amenable to welfare analysis in the presence of imperfect information. We develop a theoretical welfare measure, called quasi-compensating variation, that is a natural extension of compensating variation (CV). We show that this welfare measure offers not only a money metric of the “value of information,” but also a means to appropriately evaluate the welfare effects of various policies when consumers are imperfectly informed about ambient risk. This welfare measure allows us to obtain a number of results that the traditional CV measure fails to offer. In particular, we show that the consumer’s willingness to pay for a (small) environmental risk reduction is higher for those who underestimate ambient risk than for those who overestimate or are perfectly informed if the marginal return to self-protection increases with ambient risk.     

On the quantitative significance of imperfect information

Economic models of markets with imperfect information have increasingly involved high degrees of theoretical sophistication. So far there has been no movement beyond qualitative prediction. This paper attempts to make quantitative assessments of the new features arising from imperfect information following on recent work by Braverman (1980) and Braverman and Dixit (1981). The information structure of these models is based on non-sequential search, where consumers enter the market only once. It is of interest to question under what circumstances single price equilibria will exist under different assumptions about the distribution of search costs. Therefore for particular families of demand, cost and information conditions, the possibilities of competitive, monopolistic and two price equilibria are examined and their relative likelihoods assessed.     

An experimental test of observational learning under imperfect information

Summary. Nearly all observational learning models assume that individuals can observe all the decisions that have previously been made. In reality, such perfect information is rarely available. To explore the difference between observational learning under perfect and imperfect information, this paper takes an experimental look at a situation in which individuals learn by observing the behavior of their immediate predecessors. Our experimental design uses the procedures of Çelen and Kariv [9] and is based on the theory of Çelen and Kariv [10]. We find that imitation is much less frequent when subjects have imperfect information, even less frequent than the theory predicts. Further, while we find strong evidence that under perfect information a form of generalized Bayesian behavior adequately explains behavior in the laboratory, under imperfect information behavior is not consistent even with this generalization of Bayesian behavior.Received: 29 January 2002, Revised: 12 May 2004, JEL Classification Numbers: C92, D8. Correspondence to: Boaçhan ÇelenWe completed most of this paper when we were both graduate students at New York University. This research was supported by the Center for Experimental Social Sciences (C.E.S.S.) and the C.V. Starr Center for Applied Economics at New York University. We are grateful to Andrew Schotter for his guidance and to an anonymous referee for his comments. We benefited from the expositional suggestions of William Baumol. We also acknowledge helpful discussions of Colin Camerer, Liran Einav, Xavier Gabaix, Douglas Gale, Charles Holt, David Laibson, and Matthew Rabin. We also benefited from suggestions by the participants of the 2002 International ESA Meeting and seminars at several universities.     

Cutting the cake with a stranger: Egoism and altruism with imperfect information

This paper investigates the classic divide-and-choose scheme and applies it to a situation in which agents can be either egoists or altruists. Egoism and altruism are defined by looking at the agents' choices as their pieces of cake are permuted. If the divider is informed about the chooser's social attitude, the resulting allocation is fair, but egoists and altruists receive unequal treatment from the application of the rule. With imperfect information about the chooser's social attitude, division is more equal. The results show that, unless the cake is already cut equally, the smaller share increases as the divider's risk aversion increases and as the subjective probability that the chooser is an egoist comes closer to one-half.     

Equilibrium in behavior strategies in infinite extensive form games with imperfect information

Summary We prove the existence of equilibrium in behavior strategies for extensive form games when the game has infinite actions. The result is derived under the assumption that the behavior strategies satisfy the bounded measurability condition. The condition implies that the behavior strategies are restricted to those which can be viewed as continuous functions from the set of initial histories to the space of probability distributions over action spaces which satisfy the Lipschitz bound.I am grateful for the helpful comments of an anonymous referee.     

Credit rationing as a (temporary) suboptimal equilibrium with imperfect information

Jaffee and Russell (1976) characterized partial rationing as a contract rate and contract size below those of the no-rationing equilibrium. Their non-price rationing here obtains as a suboptimal equilibrium for a risk-averse rate-setting intermediary with marginal increasing cost and a monopolistically competitive loan demand. The temporary (dis)equilibrium corresponds to a dominated strategy, and the wider class of models of which J-R's solution is but a singular case is touched upon.     

Reputation versus information: The delegation policy when the principal has reputational concerns

We analyze the delegation policy when the principal has reputational concerns. Both the principal and the agent can be either good or biased; the good players prefer the correct decision, while the biased ones prefer a high action even though it may be wrong. An evaluator who forms the principal's reputation may or may not be able to observe who makes the decision. When the evaluator cannot observe the allocation of authority, the principal shares the credit and blame with the agent. Although delegation can improve the quality of decision making because the agent has better information, it may also hurt the good principal's reputation because the high action may be taken by the biased agent while the blame will be shared when it is wrong. Thus, the good principal has a tendency to keep too much authority to maintain her reputation. By contrast, when the evaluator can observe the allocation of authority, delegation becomes a signaling device for the good type of principal to differentiate herself from the biased one. This results in an excessive allocation of authority toward the agent.     

Optimal control of an invasive species with imperfect information about the level of infestation

The presence of invasive species is often not realized until well after the species becomes established. Discovering the location and extent of infestation before the invasive species causes widespread damage typically requires intensive monitoring efforts. In this paper, we analyze the problem of controlling an invasive species when there is imperfect information about the degree of infestation. We model the problem as a partially observable Markov decision process in which the decision-maker receives an imperfect signal about the level of infestation. The decision-maker then chooses a management action to minimize expected costs based on beliefs about the level of infestation. We apply this model to a simple application with three possible levels of infestation where the decision-maker can choose to take no action, only monitor, only treat, or do both monitoring and treatment jointly. We solve for optimal management as a function of beliefs about the level of infestation. For a case with positive monitoring and treatment costs, we find that the optimal policy involves choosing no action when there is a sufficiently large probability of no infestation, monitoring alone with intermediate probability values and treatment alone when the probability of moderate or high infestation is large. We also show how optimal management and expected costs change as the cost or quality of information from monitoring changes. With costless and perfect monitoring, expected costs are 20–30% lower across the range of belief states relative to the expected costs without monitoring.     

The suspension of borrowing: an implicit penalty for loan default under imperfect information

A credit seeker may be suspended from borrowing for a period of time due to a previous default. Such suspension is widely used in bank lending through credit check. Our work analyses the effects of suspension on the investment choice of borrowers under uncertainty and on the lending policy of banks facing asymmetric information. We show that suspension should be tightened at low loan rates, but loosened otherwise, to improve the repayment performance of borrowers. We also show that although credit rationing may not be completely removed due to imperfect information, the excess demand for credit or transitive waiting in the market can actually be attenuated by such efficient use of suspension. Our theoretical predictions are consistent with observed cyclical patterns of changes in lendingrates and suspension severity.     

Reputation and exogenous private learning

Short-run competitors in the chain store game receive noisy signals of the long-run incumbent firm's type. The history of signals, which in the limit is fully revealing, is observable to the competitors but possibly not to the incumbent. As long as there is sufficient noise in the signals, then in any equilibrium a patient weak incumbent obtains a payoff strictly higher than her minmax payoff.     

Presidential Reputation and the Veto

This paper develops a dynamic model of the bargaining between a legislature and an executive with veto power. The dynamic nature of the model provides the executive with incentives to use the veto as a reputation building device in order to gain more favorable legislative outcomes. The model illustrates that the implicit threat of building a reputation may cause the legislature will be more accommodating in its proposals to the executive. The model illustrates the possibility of a ``honeymoon period' of legislative accommodation followed by a decline in the president's influence. This paper also explores ways in which the legislature might mitigate the effects of presidential reputation building.     

道德、信誉与合约

市场经济之初,人们体会最深,感叹最多的是道德问题和信誉问题。市场经济离不开道德和信誉,缺乏道德和信誉支持的市场经济只能是灾难经济。然而,信誉和道德有着本质区别,但日常生活中人们将它们混在一起来谈论,有时甚至是不分的,本文力图从合约的角度辨清二者之间的关系。     

Reputation with observed actions

Summary A single long-run player plays a fixed stage game (simultaneous orsequential move) against an infinite sequence of short-run opponents that play only once but can observe all past realized actions. Assuming that the probability distributions over types of long and short-run players have full support, we show that the long-run player can always establish a reputation for theStackelberg strategy and is therefore guaranteed almost his Stackelberg payoff in all Nash equilibria of the repeated game.The financial support of the National Science Foundation, Grant SES 90-7999, and of Consiglio Nazionale delle Ricerche is gratefully acknowledged. I wish to thank David Levine, Wolfgang Pesendorfer and Seminar Participants at UCLA, Universidad Carlos III de Madrid and University of Naples for useful discussions and suggestions.     

Reputation from nested activities

Principals usually try to elicit the quality and behavior of agents from their performance. While sometimes success or failure in production does not provide accurate information about the agents, there may be activities not directly related to production that constitute a more precise signal. I show that, when agents face reputation concerns, introducing these activities after a success improves efficiency, while introducing them after a failure reduces efficiency. Hence, nesting activities in the right way may offer a cheap toolbox to provide incentives. As an illustration, I consider a model where reputation concerns drive the hiring decisions of managers in a firm and I show how scapegoating, an activity “nested” after failures in production, generates inefficiencies. While hiring efficient workers increases the probability of success, hiring less efficient workers provides a buffer against reputation loses from failures, since managers can blame them more easily.     

证券监管者声誉和承销商声誉的关联性研究

作者通过构建不对称信息结构下的两阶段博弈模型,应用Bayes法则对证券监管者声誉和承销商声誉的动态化以及二者声誉变动的关联性进行了研究。模型结论显示,监管者对承销商的违规或错误评估行为的“宽容”以及任何“下不为例”的监管思维不仅会加剧自身声誉的下降,而且会导致承销商评估失误概率的上升和承销商声誉的下降,表明监管者声誉和承销商声誉具有一损俱损的关联性。     

Innovation and imitation under imperfect patent protection

The paper develops a model in which the spillover of R&D is a consequence of a rational investment in imitation. The model incorporates the innovator's choice between patenting and secrecy as a protection device. The analysis demonstrates that an increase in patent breadth always discourages resorting to secrecy, whereas the influence of increased patent life is the opposite with large spillovers. An increase in patent life can also reduce innovative activity with large spillovers. Under endogenous imitation, short patents are socially optimal.     

Reputation, control rights and game equilibrium

Using the reputation model of Kreps (1982), Vickers (1986) and Barro(1986), we develop a dynamic game model with incomplete information to examine the relations between the managers of state-owned enterprises(SOEs) in China and the government as the enterprise’s owner. Employing the model, we show that even a noncoopertive manager will not intrude the owner’s interests until the last period of his term in order to maximize his long term utility. The paper also discusses some phenomenona in state-owned enterprises in China, such as “insiders’ control”, “59 phenomenon” and excess on-the-job consumption.