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 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. Under a natural inner product, we show that the components are orthogonal and we provide explicit expressions for the closet uniform and non interactive games to a given game. We characterize the set of its approximate equilibria in terms of the uniformly mixed and dominant strategies equilibria profiles of its closest 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)
Date: 2014-11
New Economics Papers: this item is included in nep-gth, nep-hpe and nep-sea
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Related works:
Working Paper: Uniformity and games decomposition (2017)
Working Paper: Uniformity and games decomposition (2017)
Working Paper: Uniformity and games decomposition (2017)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:14084

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