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An application of Ramsey theorem to stopping games

Abstract : We prove that every two-player nonzero-sum deterministic stopping game with uniformly bounded payoffs admits an var epsilon-equilibrium, for every var epsilon>0. The proof uses Ramsey Theorem that states that for every coloring of a complete infinite graph by finitely many colors there is a complete infinite subgraph which is monochromatic.
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Contributor : Antoine Haldemann <>
Submitted on : Thursday, March 18, 2010 - 3:22:01 PM
Last modification on : Thursday, January 11, 2018 - 6:19:31 AM

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Nicolas Vieille, Eran Shmaya, Eilon Solan. An application of Ramsey theorem to stopping games. Games and Economic Behavior / Games and Economic Behaviour, 2003, Vol.42,n°2, pp.300-306. ⟨10.1016/S0899-8256(02)00539-0⟩. ⟨hal-00464974⟩

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