Uniformity and games decomposition

Joseph Abdou, Nikolaos Pnevmatikos () and Marco Scarsini
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Nikolaos Pnevmatikos: Centre d'Economie de la Sorbonne - Paris School of Economics, https://centredeconomiesorbonne.univ-paris1.fr

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: We introduce the classes of uniform and non-interactive games. We study appropriate projection operators over the space of finite games in order to propose a novel canonical direct-sum decomposition of an arbitrary game into three components, which we refer to as the uniform with zero-constant, the non-interactive total-sum zero and the constant components. We prove orthogonality between the components with respect to a natural extension of the standard inner product and we further provide explicit expressions for the closet uniform and non-interactive games to a given game. The, we characterize the set of its approximate equilibria in terms of the uniformly mixed and dominant strategies equilibria profiles of its closet uniform and non-interactive games respectively

Keywords: Decomposition of games; projection operator; dominant strategy equilibrium; uniformly mixed strategy (search for similar items in EconPapers)
JEL-codes: C70 C79 (search for similar items in EconPapers)
Pages: 19 pages
Date: 2014-11, Revised 2017-03
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ftp://mse.univ-paris1.fr/pub/mse/CES2014/14084R.pdf (application/pdf)

Related works:
Working Paper: Uniformity and games decomposition (2017)
Working Paper: Uniformity and games decomposition (2017)
Working Paper: Uniformity and games decomposition (2014)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:14084r

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