匿名博弈中的$Alpha-$robust均衡

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摘要翻译：
本文考虑匿名博弈中有限策略博弈者的$\alpha-$鲁棒均衡的概念，其中一个博弈者的效用仅通过所起作用的结果分布而依赖于其他博弈者的行动。这个均衡被定义为玩家的策略集，这样只要$n-\alpha-1$number在玩均衡策略，就没有用户想偏离。我们给出了这个平衡点存在的充分条件。此外，我们还证明了Berge对应极大定理的一部分。
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英文标题：
《$alpha-$ robust equilibrium in anonymous games》
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作者：
Deepanshu Vasal and Randall Berry
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最新提交年份：
2020
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分类信息：

一级分类：Economics        经济学
二级分类：Theoretical Economics        理论经济学
分类描述：Includes theoretical contributions to Contract Theory, Decision Theory, Game Theory, General Equilibrium, Growth, Learning and Evolution, Macroeconomics, Market and Mechanism Design, and Social Choice.
包括对契约理论、决策理论、博弈论、一般均衡、增长、学习与进化、宏观经济学、市场与机制设计、社会选择的理论贡献。
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一级分类：Computer Science        计算机科学
二级分类：Computer Science and Game Theory        计算机科学与博弈论
分类描述：Covers all theoretical and applied aspects at the intersection of computer science and game theory, including work in mechanism design, learning in games (which may overlap with Learning), foundations of agent modeling in games (which may overlap with Multiagent systems), coordination, specification and formal methods for non-cooperative computational environments. The area also deals with applications of game theory to areas such as electronic commerce.
涵盖计算机科学和博弈论交叉的所有理论和应用方面，包括机制设计的工作，游戏中的学习（可能与学习重叠），游戏中的agent建模的基础（可能与多agent系统重叠），非合作计算环境的协调、规范和形式化方法。该领域还涉及博弈论在电子商务等领域的应用。
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英文摘要：
  In this paper, we consider the notion of $\alpha-$ robust equilibrium for finite strategic players in anonymous games, where utility of a player depends on other players' actions only through the resulting distribution of actions played. This equilibrium is defined as the set of strategies of the players such that no user wants to deviate as long as $N-\alpha-1$ number are playing the equilibrium strategies. We provide sufficient conditions for the existence of this equilibrium. In addition, we prove a part of Berge's Maximal Theorem for correspondences.
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PDF链接：
https://arxiv.org/pdf/2005.06812

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关键词：robust Alpha bust Pha BUS 匿名 策略 number 偏离 equilibrium