Approximate Equilibria in Games with Few Players

dc.creatorBriest, Patrick
dc.creatorGoldberg, Paul W.
dc.creatorRoeglin, Heiko
dc.date2008-04-29
dc.date.accessioned2026-07-07T12:18:30Z
dc.date.available2026-07-07T12:18:30Z
dc.descriptionWe study the problem of computing approximate Nash equilibria (epsilon-Nash equilibria) in normal form games, where the number of players is a small constant. We consider the approach of looking for solutions with constant support size. It is known from recent work that in the 2-player case, a 1/2-Nash equilibrium can be easily found, but in general one cannot achieve a smaller value of epsilon than 1/2. In this paper we extend those results to the k-player case, and find that epsilon = 1-1/k is feasible, but cannot be improved upon. We show how stronger results for the 2-player case may be used in order to slightly improve upon the epsilon = 1-1/k obtained in the k-player case.
dc.identifierhttps://arxiv.org/abs/0804.4524
dc.identifierhttp://arxiv.org/abs/0804.4524
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212434
dc.subjectComputer Science and Game Theory
dc.titleApproximate Equilibria in Games with Few Players
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