Game Theory with Costly Computation

dc.creatorHalpern, Joseph Y.
dc.creatorPass, Rafael
dc.date2008-08-29
dc.date.accessioned2026-07-07T09:59:37Z
dc.date.available2026-07-07T09:59:37Z
dc.descriptionWe develop a general game-theoretic framework for reasoning about strategic agents performing possibly costly computation. In this framework, many traditional game-theoretic results (such as the existence of a Nash equilibrium) no longer hold. Nevertheless, we can use the framework to provide psychologically appealing explanations to observed behavior in well-studied games (such as finitely repeated prisoner's dilemma and rock-paper-scissors). Furthermore, we provide natural conditions on games sufficient to guarantee that equilibria exist. As an application of this framework, we consider a notion of game-theoretic implementation of mediators in computational games. We show that a special case of this notion is equivalent to a variant of the traditional cryptographic definition of protocol security; this result shows that, when taking computation into account, the two approaches used for dealing with "deviating" players in two different communities -- Nash equilibrium in game theory and zero-knowledge "simulation" in cryptography -- are intimately related.
dc.identifierhttps://arxiv.org/abs/0809.0024
dc.identifierhttp://arxiv.org/abs/0809.0024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168084
dc.subjectComputer Science and Game Theory
dc.subjectCryptography and Security
dc.titleGame Theory with Costly Computation
dc.typetext

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