Cooperation and effective computability
Article Abstract:
The common interest game characterized as infinitely repeated, two-player, strategic-form games with negligible discounting is considered. Specifically, it is shown that when supergame strategies are constrained to be computable according to Church's thesis, the equilibrium outcome cannot be any other but the Pareto-efficient pair which denotes cooperation. This is because the computability conditions enable players to communicate their intention to engage in future cooperation.
Publication Name: Econometrica
Subject: Mathematics
ISSN: 0012-9682
Year: 1995
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Equilibrium refinement for infinite normal-form games
Article Abstract:
Three new methods of refining the set of Nash equilibria for infinite normal-form games with continuous payoffs are proposed. The first is a strong approach in which 'a tremble assigns high probability to the set of pure best responses.' Unlike the weak and limit-of-finite strategies, it is aligned with the structure of infinite games and satisfies the criteria of existence, admissible subset of Nash equilibria, perturbed games and reduction to the set of perfect equilibria.
Publication Name: Econometrica
Subject: Mathematics
ISSN: 0012-9682
Year: 1995
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Evolutionary selection in normal-form games
Article Abstract:
The stability characteristics of evolutionary selection dynamics of noncooperative games known as normal-form games are considered with respect to the Nash equilibrium. Specifically, it is shown that the faces of the mixed-strategy space, if 'spanned by a product set of pure strategies' that is 'asymptotically stable in all dynamics' with respect to the better-reply correspondence, contains an required component of Nash equilibria.
Publication Name: Econometrica
Subject: Mathematics
ISSN: 0012-9682
Year: 1995
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