有私人监控和通信的重复博弈的统一严格均衡

IF 1.2 3区 经济学 Q3 ECONOMICS Economic Theory Pub Date : 2024-03-28 DOI:10.1007/s00199-024-01561-0
Richard McLean, Ichiro Obara, Andrew Postlewaite
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引用次数: 0

摘要

通过重复进行合作是博弈论的一个重要主题。在这方面,人们针对日益复杂环境中的重复博弈提出了各种著名的 "民间定理"。然而,人们对这些民间定理所需的大量均衡的稳健性关注不够。我们以完全公共均衡为起点,研究了具有私人监控和直接交流(廉价谈话)的重复博弈中的均匀严格均衡。我们描述了极限均衡收益集的特征,并确定了民间定理在均匀严格均衡下成立的条件。
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Uniformly strict equilibrium for repeated games with private monitoring and communication

Cooperation through repetition is an important theme in game theory. In this regard, various celebrated “folk theorems” have been proposed for repeated games in increasingly more complex environments. There has, however, been insufficient attention paid to the robustness of a large set of equilibria that is needed for such folk theorems. Starting with perfect public equilibrium as our starting point, we study uniformly strict equilibria in repeated games with private monitoring and direct communication (cheap talk). We characterize the limit equilibrium payoff set and identify the conditions for the folk theorem to hold with uniformly strict equilibrium.

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来源期刊
Economic Theory
Economic Theory ECONOMICS-
CiteScore
2.50
自引率
23.10%
发文量
68
期刊介绍: The purpose of Economic Theory is to provide an outlet for research - in all areas of economics based on rigorous theoretical reasoning, and - on specific topics in mathematics which is motivated by the analysis of economic problems. Economic Theory''s scope encompasses - but is not limited to - the following fields. - classical and modern equilibrium theory - cooperative and non-cooperative game theory - macroeconomics - social choice and welfare - uncertainty and information, intertemporal economics (including dynamical systems) - public economics - international and developmental economics - financial economics, money and banking - industrial organization Economic Theory also publishes surveys if they clearly picture the basic ideas at work in some areas, the essential technical apparatus which is used and the central questions which remain open. The development of a productive dialectic between stylized facts and abstract formulations requires that economic relevance be at the forefront. Thus, correct, and innovative, mathematical analysis is not enough; it must be motivated by - and contribute to - the understanding of substantive economic problems. Officially cited as: Econ Theory
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