Weak monotonicity and Bayes–Nash incentive compatibility

An allocation rule is called Bayes–Nash incentive compatible, if there exists a payment rule, such that truthful reports of agents' types form a Bayes–Nash equilibrium in the direct revelation mechanism consisting of the allocation rule and the payment rule. This paper provides a characterization of Bayes–Nash incentive compatible allocation rules in social choice settings where agents have multi-dimensional types, quasi-linear utility functions and interdependent valuations. The characterization is derived by constructing complete directed graphs on agents' type spaces with cost of manipulation as lengths of edges. Weak monotonicity of the allocation rule corresponds to the condition that all 2-cycles in these graphs have non-negative length. For the case that type spaces are convex and the valuation for each outcome is a linear function in the agent's type, we show that weak monotonicity of the allocation rule together with an integrability condition is a necessary and sufficient condition for Bayes–Nash incentive compatibility.     

Informational size and the incentive compatible coarse core in quasilinear economies

In this paper we show that in quasilinear economies the incentive compatible coarse core is non-empty if agents are informationally small in the sense of McLean and Postlewaite (2002) and the strict core in each state is non-empty.     

Incentive compatible core and competitive equilibria in differential information economies

Summary. If the allocations of a differential information economy are defined as incentive compatible state-contingent lotteries over consumption goods, competitive equilibrium allocations exist and belong to the (ex ante incentive) core. Furthermore, any competitive equilibrium allocation can be viewed as an element of the core of the n-fold replicated economy, for every n. The converse holds under the further assumption of independent private values but not in general, as shown by a counter-example. Received: August 9, 1999; revised version: September 12, 1999     

Incentive compatible contractible information

Summary. The paper seeks to characterize what information is always available for contracting, independent of the form of the contract and the probabilities of different states of nature. The paper denotes such information as contractible. It is established that it is possible to speak uniquely of maximal contractible information. Several characterizations are exhibited. In particular, it is shown that if either (a) punishments are bounded everywhere, or (b) deviations from truth-telling are either always or never detected, then maximum contractible information coincides with where is the information partition of agent j. An argument is given for why (b) may be expected to hold. Received: August 7, 2000; revised version: December 21, 2001 RID="*" ID="*" I thank Michael Chwe, Douglas Diamond, Lars Stole, Robert Townsend, Nicholas Yannelis and an anonymous referee for helpful comments.     

Characterizations of strategy-proof and fair mechanisms for allocating indivisible goods

We study the problem of allocating indivisible goods when monetary compensations are possible. First, we characterize the set of strategy-proof and envy-free mechanisms. Second, we identify the Pareto undominated subset in the set of strategy-proof and envy-free mechanisms. These characterizations can be interpreted as envy-free selections of Groves mechanisms.JEL Classification Numbers C72, D63, D71, D82I would like to thank Jun Matsuyama, Hervé Moulin, Satoko Okuyama, Takehiko Yamato, Naoki Yoshihara, an associate editor, two anonymous referees, and seminar participants at Rice University and Tokyo Institute of Technology for helpful suggestions and detailed comments. Research was partially supported by Grant-in-Aid for Scientific Research 17730126 of the Ministry of Education, Culture, Sports, Science and Technology in Japan.     

Purification of incentive compatible allocations

In implementation theory it is common to consider social choice functions that map to lotteries over outcomes. For example, virtual implementation has been used widely with social choice functions that involve randomization. This paper investigates (in incomplete information environments) the possibility of purification of such social choice functions, where purification means that the “replacement” social choice function maps to outcomes rather than distributions over outcomes, is incentive compatible and generates the same distribution over payoffs and outcomes as the original social choice function. Received: July 31, 2000; revised version: December 2, 2002 RID="*" ID="*" Thanks are due to Ole Nielsen, Terence Tao and Lin Zhou for helpful conversations. Thanks are also due to an anonymous referee for detailed comments.     

激励相容:银行金融创新监管机制构建——理论综述及研究展望

对于本次危机的根源,国内外学者比较一致的观点是,创新过度、监管不足,而中国目前的情况是创新不足、监管过度.本文首先对金融创新与金融监管关系的相关文献进行了回顾,然后总结了激励相客理论的主要思想,并着重分析了银行监管领域中的多层次的委托代理关系.在此基础上,本文将金融创新和银行监管问题置于信息不对称的委托代理分析框架内,从监管者激励约束、资本监管、监督检查、信息披露、存款保险等五个方面进行文献回顾,系统分析了银行金融创新监管机制的激励相容问题,这对于中国银行业在全面开放创新的背景下,如何借鉴危机前后国外银行业创新与监管的经验教训,促进中国银行业创新与监管的激励相容,具有重要的理论及实践意义.     

Finite allocation mechanisms: approximate Walrasian versus approximate Direct Revelation

Summary. This paper obtains finite counterparts of previous results that showed the informational efficiency of the Walrasian mechanism among all mechanisms yielding Pareto-optimal individually rational trades in exchange economies while using a continuum of possible messages. In particular, we develop finite counterparts of the superiority, with respect to message-space dimension, of the Walrasian mechanism over Direct Revelation (DR). We measure a finite mechanism's cost by the number of its (equilibrium) messages. Our two main results are as follows: (1) For exchange economies we find that the overall (maximum) error of a (sufficiently fine) approximate Walrasian mechanism is less than the overall error of a not-more-costly approximate DR mechanism whose equilibrium outcomes are trades that are (approximately) Pareto optimal and individually rational; more generally, approximate Walrasian mechanisms are superior, in the same sense, to approximations of any continuum mechanism whose outcomes are Pareto optimal individ ually rational trades and whose message space has higher dimension than that of the Walrasian mechanism. (2) As we increase without limit the dimension of the set of environments (characteristics) defining our class of exchange economies, the extra cost of DR approximations relative to Walrasian approximations, when both achieve the same overall error, also grows without limit. Thus the informational superiority of the Walrasian mechanism emerges again when we approximate it and take the finite number of messages in the approximation as our cost measure. Received: June 16, 2002; revised version: July 22, 2002 RID="*" ID="*" The second author is grateful for support from National Science Foundation grant #IIS-0118600. Correspondence to: T. Marschak     

基于激励相容的企业绩效管理模式设计

激励性绩效模式是企业有效实施绩效管理和全面提升绩效水平的关键.针对我国企业绩效管理体系普遍缺乏激励性的问题,基于激励相容理论,设计了一种绩效管理模式.首先,构建了企业员工的绩效参与约束条件与激励相容条件.其次,根据企业与员工之间不同的信息披露情况,分别建立了信息对称条件下的激励相容绩效模型和信息不对称条件下的激励相容绩效模型.在此基础上,明确了企业绩效管理模式的实现路径.最后,通过企业实例验证了信息不对称条件下的企业激励相容绩效管理模式新颖、有效且合理,能够同时实现员工激励最大化和企业收益最大化.     

A characterization of virtual Bayesian implementation

We provide a characterization of virtual Bayesian implementation in pure strategies for environments satisfying no-total-indifference. A social choice function in such environments is virtually Bayesian implementable if and only if it satisfies incentive compatibility and a condition we term virtual monotonicity. The latter is weaker than Bayesian monotonicity—known to be necessary for Bayesian implementation. Virtual monotonicity is weak in the sense that it is generically satisfied in environments with at least three alternatives. This implies that in most environments virtual Bayesian implementation is as successful as it can be (incentive compatibility is the only condition needed).     

On coalitional stability of anonymous interim mechanisms

Summary.   In a situation where agents have private information, we investigate the stability of mechanisms with respect to coalitional deviations. In the cooperative tradition, we first extend the notion of Core, taking into account the information a coalition may have when it forms and the conjectures of outsiders. This leads us to propose a family of Cores rather than a single one. Secondly, we study the stability of Core mechanisms to secession proposals in simple noncooperative games. The two different stability analyses, normative and strategic, tend to give support to the more natural extension of the Core, called Statistical Core, only in situations where some strong form of increasing returns to coalition is met. Without this property, arguments for a concept of Core that is non empty in a reasonably large class of problems are less compelling. Applications to taxation and insurance are given. Received: September 6, 1999; revised version: December 3, 1999     

Comparing finite mechanisms

Summary. This paper obtains finite analogues to propositions that a previous literature obtained about the informational efficiency of mechanisms whose possible messages form a continuum. Upon reaching an equilibrium message, to which all persons “agree”, a mechanism obtains an action appropriate to the organization's environment. Each person's privately observed characteristic (a part of the organization's environment) enters her agreement rule. An example is the Walrasian mechanism in an exchange economy. There a message specifies a proposed trade vector for each trader as well as a price for each non-numeraire commodity. A trader agrees if the price of each non-numeraire commodity equals her marginal utility for that commodity (at the proposed trades) divided by her marginal utility for the numeraire. At an equilibrium message, the mechanism's action consists of the trades specified in that message, and (for classic economies) those trades are Pareto-optimal and individually rational. Even though the space of environments (characteristics) is a continuum, mechanisms with a continuum of possible messages are unrealistic, since transmitting every point of a continuum is impossible. In reality, messages have to be rounded off and the number of possible messages has to be finite. Moreover, reaching a continuum mechanism's equilibrium message typically requires infinite time and that difficulty is absent if the number of possible messages is finite. The question therefore arises whether results about continuum mechanisms have finite counterparts. If we measure a continuum mechanism's communication cost by its message-space dimension, then our corresponding cost measure for a finite mechanism is the (finite) number of possible equilibrium messages. We find that if two continuum mechanisms yield the same action but the first has higher message-space dimension, then a sufficiently fine finite approximation of the first has larger error than an approximation of the second if the cost of the first approximation is no higher than the cost of the second approximation. An approximation's “error” is the largest distance between the continuum mechanism's action and the approximation's action. We obtain bounds on error. We also study the performance of Direct Revelation (DR) mechanisms relative to “indirect” mechanisms, both yielding the same action, when the environment set grows. We find that as the environment-set dimension goes to infinity, so does the extra cost of the DR approximation, if the error of the DR approximation is at least as small as the error of the indirect approximation. While the paper deals with information-processing costs and not incentives, it is related to the incentive literature, since the Revelation Principle is central to much of that literature and one of our main results is the informational inefficiency of finite Direct Revelation mechanisms. Received: May 21, 2001; revised version: December 14, 2001 RID="*" ID="*" Earlier versions of this paper were presented at the Decentralization Conference, Washington University, St Louis, April 2000 and at the Eighth World Congress of the Econometric Society, August 2000. We are grateful for comments received on those occasions. The second author gratefully acknowledges support from National Science Foundation grant #IIS9712131. Correspondence to: T. Marschak     

A general characterization of interim efficient mechanisms for independent linear environments

We consider the class of Bayesian environments with independent types, and utility functions which are both quasi-linear in a private good and linear in a one-dimensional private-value type parameter. We call these independent linear environments. For these environments, we fully characterize interim efficient allocation rules which satisfy interim incentive compatibility and interim individual rationality constraints. We also prove that they correspond to decision rules based on virtual surplus maximization, together with the appropriate incentive taxes. We illustrate these techniques with applications to auction design and public good provision.     

基于公平心理偏好的风险融资契约研究

在风险融资市场中,由于风险投资者和风险投资家之间存在着信息不对称,道德风险问题不可避免。因此,需要设计一种有效的激励机制来规避这一问题。考虑到现实中风险投资者和风险投资家都是有限理性的个体,结合行为经济学和委托代理理论,针对具有公平心理偏好的风险投资者和风险投资家,构建一种新的支付模式,通过设计有效的激励机制,为风险投资者建立合理的支付契约提供依据。     

Individually rational, budget-balanced mechanisms and allocation of surplus

We investigate the issue of implementation via individually rational ex-post budget-balanced Bayesian mechanisms. We show that all decision rules generating a nonnegative expected social surplus are implementable via such mechanisms if and only if the probability distribution of the agents’ type profiles satisfies two conditions: the well-known condition of Crémer and McLean [1988. Full extraction of the surplus in Bayesian and dominant strategy auctions, Econometrica 56, 1247–1257] and the Identifiability condition introduced in this paper. We also show that these conditions are necessary for ex-post efficiency to be attainable with budget balance and individual rationality, and that the expected social surplus in these mechanisms can be distributed in any desirable way. Lastly, we demonstrate that, like Crémer–McLean condition, the Identifiability condition is generic if there are at least three agents.     

Taking stock: A comparative analysis of payments for environmental services programs in developed and developing countries

Payments for environmental services (PES) are an innovative approach to conservation that has been applied increasingly often in both developed and developing countries. To date, however, few efforts have been made to systematically compare PES experiences. Drawing on the wealth of case studies in this Special Issue, we synthesize the information presented, according to case characteristics with respect to design, costs, environmental effectiveness, and other outcomes. PES programs often differ substantially one from the other. Some of the differences reflect adaptation of the basic concept to very different ecological, socioeconomic, or institutional conditions; others reflect poor design, due either to mistakes or to the need to accommodate political pressures. We find significant differences between user-financed PES programs, in which funding comes from the users of the ES being provided, and government-financed programs, in which funding comes from a third party. The user-financed programs in our sample were better targeted, more closely tailored to local conditions and needs, had better monitoring and a greater willingness to enforce conditionality, and had far fewer confounding side objectives than government-financed programs. We finish by outlining some perspectives on how both user- and government-financed PES programs could be made more effective and cost-efficient.     

Green auctions: A biodiversity study of mechanism design with externalities

This paper uses a mechanism design approach to study the biodiversity improvement in a territory, where the government is the principal and the landholders are the agents. In particular, I analyze an optimal mechanism that considers multidimensional bid which includes both the biodiversity improvement of the project and its cost. Additionally, this mechanism incorporates the externality (either positive or negative) that a biodiversity project causes in the surrounding agents who decided not to participate. Specifically, I assume that externalities enter in the cost function of the nonparticipating landholders. I show that, in the case of negative externalities, the government will implement a transfer function which is decreasing in the landholder's efficiency level. On the other hand, in the case of a positive externality, paradoxically the government may be interested in the nonparticipation of the most efficient landholders.     

A note on budget balance under interim participation constraints: the case of independent types

We provide a simple proof of the equivalence between ex ante and ex post budget balance constraints in Bayesian mechanism design with independent types when participation decisions are made at the interim stage. The result is given an interpretation in terms of efficient allocation of risk.     

A study on financial opportunity costs of growing local varieties of sorghum in Ethiopia: Implications for on-farm conservation policy

The increasing interest in on-farm conservation is driven by its diverse attractive features — its participatory nature and its flexible and dynamic features; its capacity to maintain not only crop diversity but the knowledge that evolves with it; and the chance it offers to link conservation with utilization and farmers' livelihoods. To implement this strategy on a sustainable basis, policy incentives are crucial. This paper argues that opportunity costs farmers face have a role to play to design sound policy incentives. Taking sorghum as an example, opportunity costs have been examined in this paper using data collected from 198 farmers in Eastern Ethiopia. The average opportunity costs suggest the size of the required policy incentives and they are the basis to estimate the national conservation costs for on-farm conservation. The regression analysis shows that opportunity costs increase with access to output markets and extension, output price, access to input supply, experience in growing improved varieties, and the relative importance of the crop. On the contrary, plot quality, input price, and oxen ownership are reducing the opportunity costs. The paper then concludes outlining the policy implications of the empirical findings to incentive design for on-farm conservation.