期刊名称：Documents de Travail du Centre d'Economie de la Sorbonne
印刷版ISSN：1955-611X
出版年度：2017
出版社：Centre d'Economie de la Sorbonne
摘要：We introduce the classes of uniform and non-interactive games. We study appropriateprojection operators over the space of finite games in order to propose a novelcanonical direct-sum decomposition of an arbitrary game into three components, whichwe refer to as the uniform with zero-constant, the non-interactive total-sum zero and theconstant components. We prove orthogonality between the components with respect toa natural extension of the standard inner product and we further provide explicit expressionsfor the closest uniform and non-interactive games to a given game. Then, wecharacterize the set of its approximate equilibria in terms of the uniformly mixed anddominant strategies equilibria profiles of its closest uniform and non-interactive gamesrespectively.
关键词：decomposition of games; projection operator; uniformly mixed strategy
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