hal-00595481
https://hec.hal.science/hal-00595481
[SHS] Sciences de l'Homme et de la Société
[HEC] HEC Paris
[CNRS] CNRS - Centre national de la recherche scientifique
[AO-ECONOMIE] Archives ouvertes de l'Economie
[LARA] LARA
An Application of Ramsey Theorem to Stopping Games
Shmaya, Eran
Solan, Eilon
Vieille, Nicolas
[SHS.ECO.ECO] Humanities and Social Sciences/Economics and Finance/domain_shs.eco.eco
REPORT
Non zero-sum stopping games
Ramsey Theorem
equilibrium payoff
We prove that every two-player non zero-sum deterministic stopping game with uniformly bounded payoffs admits an e-equilibrium, for every e > 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.
2001-07-24
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