文章基本信息

标题：Dependent Types for Extensive Games
其他标题：Dependent Types for Extensive Games
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作者：Pierre Lescanne
期刊名称：Journal of Formalized Reasoning
印刷版ISSN：1972-5787
出版年度：2018
卷号：11
期号：1
页码：1-17
语种：English
出版社：Alma Mater Studiorum - University of Bologna
摘要：Extensive games are tools largely used in economics to describe decision processes of a community of agents. In this paper we propose a formal presentation based on the proof assistant COQ which focuses mostly on infinite extensive games and their characteristics. COQ proposes a feature called "dependent types'', which means that the type of an object may depend on the type of its components. For instance, the set of choices or the set of utilities of an agent may depend on the agent herself. Using dependent types, we describe formally a very general class of games and strategy profiles, which corresponds somewhat to what game theorists are used to. We also discuss the notions of infiniteness in game theory and how this can be precisely described.
关键词：extensive game;infinite game;sequential game;coinduction;Coq;proof assistant