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Autre Publication Scientifique Année : 2017

Uniformity and games decomposition

Résumé

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.
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Dates et versions

halshs-01147442 , version 1 (30-04-2015)
halshs-01147442 , version 2 (03-05-2017)

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  • HAL Id : halshs-01147442 , version 2

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Joseph M. Abdou, Nikolaos Pnevmatikos, Marco Scarsini. Uniformity and games decomposition. 2017. ⟨halshs-01147442v2⟩
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