The Colonel Blotto game

In the Colonel Blotto game, two players simultaneously distribute forces across n battlefields. Within each battlefield, the player that allocates the higher level of force wins. The payoff of the game is the proportion of wins on the individual battlefields. An equilibrium of the Colonel Blotto game is a pair of n-variate distributions. This paper characterizes the unique equilibrium payoffs for all (symmetric and asymmetric) configurations of the players’ aggregate levels of force, characterizes the complete set of equilibrium univariate marginal distributions for most of these configurations, and constructs entirely new and novel equilibrium n-variate distributions.I am grateful to Jason Abrevaya, Dan Kovenock, James C. Moore, Roger B. Nelsen, and three anonymous referees for very helpful comments. A version of this paper was presented at the 2005 Midwest Economic Theory Meetings. This paper is based on the first chapter of my Ph.D. dissertation     

A Blotto game with multi-dimensional incomplete information

We examine a multi-dimensional incomplete information Colonel Blotto game in which each player’s n-tuple of battlefield valuations is drawn from a common n-variate joint distribution function that is uniform on the non-negative orthant of the surface of a sphere.     

Incomplete information in the acid rain game

This paper provides a model that attempts to deal with the transboundary nature of the acid rain problem, using a game theoretic approach consistent with mainstream economic theory. The general forms of cooperative and non cooperative equilibria in explicit and implicit set-up of the model are presented under the assumptions of complete and incomplete information.     

不完全信息、反倾销威胁与最优出口贸易政策

通过扩展Brander和Spencer(1985)的基本模型,本文首先证明了,在反倾销威胁下,基于完全信息假设的最优出口贸易政策要求出口国政府给予低成本企业更高的出口补贴或更低的出口征税,在无效激励机制下必然导致出口企业隐匿自己的真实成本类型,基于完全信息假设的最优出口贸易政策失效。在此基础上,本文进一步论证了不完全信息和反倾销威胁下激励相容的最优出口贸易政策,该政策要求出口国政府依据进口国国内要求保护压力的大小,采用不同的出口征税和一次性转移支付政策组合,激励出口企业如实报告成本类型,并使国家整体福利最大化。     

基于不完全信息博弈的产学研联盟形成机理研究

产学研联盟是国家创新体系的重要组成部分,它一直是世界各国研究和探讨的热点课题。基于不完全信息博弈模型,分析了不完全信息下产学研联盟形成机理。通过分析企业、大学和科研院所在博弈中各自的期望收益,探讨了产学研联盟利益的形成机理和补贴策略,认为大学和科研院所的研发能力直接影响企业的行为选择,政府补贴收益政策也可能改变企业、大学和科研院所的行为选择,从而影响产学研联盟的形成。     

Information acquisition in the ultimatum game: An experimental study

We experimentally investigate if free information disadvantages a player relative to when information is unavailable. We study an Ultimatum game where the Proposer, before making an offer, can obtain free information about the Responder's minimum acceptable offer. Theoretically, the Proposer should obtain the information and play a best reply to the Responder's minimum acceptable offer. Thus the Responder should get the largest share of the surplus. We find that an increasing number of Proposers become informed over time. Moreover, the proportion of Proposers who use the information to maximize money earnings increases over time. The majority of information-acquiring Proposers, however, refuse to offer more than one-half and play a best reply only to Responders who accept offers of one-half or less. This, together with a substantial proportion of Proposers who choose to remain uninformed, means that the availability of free information backfires for Proposers only by a little. Electronic Supplementary Material Supplementary material is available in the online version of this article at . JEL Classification C70, D63, D80     

不完全信息静态博弈视角下的三度价格歧视分析研究

本文针对三度价格歧视存在信息不对称的问题,讨论了两个寡头垄断企业在成本信息不对称的情况下,在两个细分市场实施价格歧视的产量决策问题.将成本函数分为三种、两种及一种可选成本(完全信息)3类情况,通过海萨尼转换,根据成本甄别系数的不同取值范围,得出了两个寡头垄断企业相互制约下的均衡产量、均衡价格、均衡利润及相互关系.研究结果表明:成本甄别系数越小,成本信息劣势企业的均衡产量越高,均衡状态下的总利润也越高;当寡头垄断企业1采用较高成本时,企业1会更加倾向于隐藏自身成本,他在具有信息优势的同时还具有成本劣势;而当寡头垄断企业1采用低成本时,则不会隐藏自己的信息而更倾向通过信号传递,把低成本信息的优势传递出去,以使寡头垄断企业2按完全信息决策产量等结论.本文的研究结果将为信息不对称下的歧视定价提供理论依据.     

不完全契约理论:一个综述

标准的契约理论或委托-代理理论假定契约是完全的,然而现实中的契约是不完全的。契约的不完全会导致事前的最优契约失效,当事人在面临被“敲竹杠”的风险时会做出无效率的专用性投资。经济学家们在研究如何最大程度地减少由于契约不完全所导致的效率损失时,发展了一个新兴的不完全契约理论。本文以一个基本模型为基点,围绕专用性投资效率问题,从司法干预、赔偿、治理结构、产权以及履约等多个视角,全面地介绍了不完全契约理论的产生、发展、应用以及面临的挑战和未来的前景。     

Incomplete information as a deterrent to crime

This paper presents an incomplete information model, where a supervisor is entrusted with supervising a number of potential criminals of different types. The supervisor may not know the type of an individual criminal. We show how lack of complete information available to the law-enforcing agent may help to prevent crime at least to a limited extent by making rewards and penalties more effective.     

不完全信息下联盟组合形成动态博弈分析

在回顾和梳理联盟及联盟组合形成理论的基础上,从成本-收益决策的视角构建了两阶段的动态博弈模型,探讨了在不完全信息下联盟组合形成的动态机制和稳定均衡条件,旨在为企业组建联盟组合提供决策分析框架,进一步推进以焦点企业为研究对象的联盟组合研究。     

A glove-market partitioned matrix related to the assignment game

To any assignment market we associate the unique exact assignment game defined on the same set of agents and with a core that is a translation of the core of the initial market. As it happens with the core, the kernel and the nucleolus of an assignment game are proved to be the translation of the kernel and the nucleolus of its related exact assignment game by the vector of minimum core payoffs. Agents on each side of the market are classified by means of an equivalence relation and, when agents on the same class are ordered to be consecutive, the related exact assignment market is defined by a partitioned matrix, each block of the partition being a glove market.     

不完全合同理论的新视角——基于演化经济学的分析

长期以来,主流不完全合同理论一直没有在理论逻辑上圆满解答"合同为什么不完全",其理论基础存在很大的争议,这也导致其研究范式存在内在的逻辑矛盾与冲突,大量有关不完全合同的研究本质上却是关注完全合同。本文尝试从演化经济学的视角重新审视不完全合同理论,强调必须从知识不完全性的视角来阐释合同的不完全性,认为个体的有限认知是合同不完全性的重要理论基础,在此视角下探讨了不完全合同的功能、生成及其演变,并重新考察了权威在不完全合同中的作用。     

A dynamic game for fiscal federalism with non-local externalities

We address the questions of the patterns and the efficiency of public intervention in a dynamic game model between public agencies in charge of a non-local externality. We give two examples: pollution spreading between water basins (negative externality), and non-uniform contributions from the elite and from the mass to a cultural background (positive externality). We define two extreme cases, depending on whether or not the receiving end of the externality balances the transmitting end. When both balance, the reactivity of the agency structure is strong and the need for redistribution between them is weak. When they do not balance, the externality is more markedly non-local and redistribution is required to balance the fiscal burden (or product) from pigouvian instruments among all beneficiaries. We show that, with a static rule of redistribution that allows them to compute transfers between them as a function of their own strategies, the decentralized agencies' reactivity is somewhat slowed, but they still react faster and more efficiently than a static central agency.     

Incomplete markets: transverse financial structures

Summary. In a multiperiod economy with incomplete markets and assets with payoff depending on the price history (e.g., asset and derivatives), we show that in order to get endowment generic existence of an equilibrium it is not needed to alter settlement features such as when payments are made and when the asset is traded. This is non-trivial as each such characteristic introduces a non-generic subclass of financial instruments. We show essentially that expiry date payments are the only payments that one needs perturbing (if at all). For previous periods - the P&L discovery map - is the one relevant for wealth transfers. This map transfers wealth between one period and the next by associating to each portfolio next period potential profit and losses as a function of the revealed information at the node. All present values involved can in general - because of backward induction pricing structure - be appropriately controlled via expiry payoffs only. This enables us to extend two-period work and introduce Transverse Financial Structures for multiperiod economies, where one cannot identify the payoffs of financial instruments to the P&L discovery map (in other words we introduce some financial ingeneering for Transverse Financial Structures). We capitalize on that difference using unexploited “maturity payout degrees of freedom” and rolling back the uncertainty tree. As an application of this approach we prove a conjecture by Magill and Quinzii that commodity forward contracts lead to endowment generic existence of an equilibrium in a multiperiod set-up. Received: June 25, 1999; revised version: April 4, 2001     

Alternating-Offer Bargaining with Two-Sided Incomplete Information

I study alternating-offer bargaining games with two-sided incomplete information about the players' discount rates. For both perfect Bayesian equilibrium and a rationalizability-style notion, I characterize the set of expected payoffs which may arise in the game. I also construct bounds on agreements that may be made. The set of expected payoffs is easy to compute and incorporate into applied models. My main result is a full characterization of the set of perfect Bayesian equilibrium payoffs for games in which the distribution over the players' discount rates is of wide support, yet is in a weak sense close to a point mass distribution. I prove a lopsided convergence result: each player cannot gain from a slight chance that she is a strong type, but the player can suffer greatly if there is a slight chance that she is a weak type.     

基于不完全信息静态分析模型的西部区域旅游合作机制研究

区域旅游合作是区域旅游发展到一定阶段的产物,运用不完全信息静态博弈理论分析了区域旅游合作的动力机制,得出在不完全信息的状态下,区域旅游合作行为能够产生的条件是低成本（对区域B来讲）和p≥C/δA（对区域A来讲）。西部地区进行区域旅游合作的动力来源于区域成本和收益的比较,作为管理主体的政府,其区域旅游合作动力为政府成本和收益的比较,具体表现为政府如何发挥其高效率,为旅游企业创造一个良好的社会环境,因此政府的主要行为就集中在区域政策的调整、政府的管理创新和区域旅游管理等方面;作为市场主体的旅游企业的动力来源于企业利润最大化,因此区域旅游合作主要包括构建以价值链为基础的资产纽带型旅游企业集团和以网络为基础的旅游企业网络平台。     

不完备偏好理论及其应用综述

本文在不完备偏好理论近期文献的基础上,以联系偏好和行为的一致性条件为主线,阐述了不完备偏好显示理论的最新进展:由Γ-理性化转向Δ-理性化,选择集由消费束转向机会集;分别在确定性和不确定性的经济环境下,回顾了不完备偏好的函数表示理论的发展脉络,即由单维函数转向多维函数;特别是,在不确定性的经济环境下,讨论了两种可能的不完备偏好(口味不决和信念不决)的函数表示理论;整理归纳了不完备偏好理论在行为经济学和博弈论等经济学领域中的若干应用。     

Incomplete preferences and rational intransitivity of choice

Do violations of classical rationality theory imply that agents are acting against their self-interest? To answer this question, we investigate whether completeness and transitivity necessarily hold when agents choose outcome rationally—that is, their choice sequences do not lead to dominated outcomes. We show that, because of the danger of money pumps and other manipulations, outcome rationality implies that agents must have transitive psychological preferences. Revealed preferences, on the other hand, must be complete since agents can be forced to choose from any set of options. But these justifications of transitivity and completeness cannot be combined. We show that if psychological preferences are incomplete then revealed preferences can be intransitive without exposing agents to manipulations or violating outcome rationality. We also show that a specific case of nonstandard behavior, status quo maintenance, is outcome-rational in the simple environments considered in the experimental literature, but not in more complex settings.     

A Property of Nash Equilibria in Repeated Games with Incomplete Information

We consider two-person non-zero-sum infinitely repeated games with lack of information on one side. The characterization of Nash equilibrium payoffs obtained by Hart allows for complex strategies, which are actually required by some equilibrium payoffs in some games. We show that appropriate one-shot public communication mechanisms make Nash equilibrium payoffs achievable by means of simple strategies. Furthermore, these mechanisms satisfy a notion of self-fulfillment.Journal of Economic LiteratureClassification Numbers: D82, C72.     

A Note on Emissions Taxes and Incomplete Information

In contrast with what we perceive is the conventional wisdom about setting a second-best emissions tax to control a uniformly mixed pollutant under uncertainty, we demonstrate that setting a uniform tax equal to expected marginal damage is not generally efficient under incomplete information about firms’ abatement costs and damages from pollution. We show that efficient taxes will deviate from expected marginal damage if marginal damage is increasing and there is uncertainty about the slopes of the marginal abatement costs of regulated firms. Moreover, tax rates will vary across firms if a regulator can use observable firm-level characteristics to gain some information about how the firms’ marginal abatement costs vary.