From repeated games to Brownian games
نویسندگان
چکیده
منابع مشابه
A TRANSITION FROM TWO-PERSON ZERO-SUM GAMES TO COOPERATIVE GAMES WITH FUZZY PAYOFFS
In this paper, we deal with games with fuzzy payoffs. We proved that players who are playing a zero-sum game with fuzzy payoffs against Nature are able to increase their joint payoff, and hence their individual payoffs by cooperating. It is shown that, a cooperative game with the fuzzy characteristic function can be constructed via the optimal game values of the zero-sum games with fuzzy payoff...
متن کاملRepeated Games
I Basic Results on Normal Form Games 3 I.1 The Minmax Theorem 4 I.1.a Definitions and Notations 4 I.1.b A Basic Theorem 5 I.1.c Convexity 6 I.1.d Mixed Strategies 6 I.1.e Note on the Separation Theorem 9 Exercises 10 I.2 Complements to the Minmax Theorem 15 I.2.a The Topology on S 16 I.2.b Lack of Continuity: Regularization 16 I.2.c Lack of Compactness: Approximation 19 I.2.d Measurability: Sym...
متن کاملRepeated games
This entry shows why self-interested agents manage to cooperate in a long-term relationship. When agents interact only once, they often have an incentive to deviate from cooperation. In a repeated interaction, however, any mutually beneficial outcome can be sustained in an equilibrium. This fact, known as the folk theorem, is explained under various information structures. This entry also compa...
متن کاملRepeated Games
for every path a. The corresponding one-shot or stage game is denoted by G = ( {Ai}i=1, { fi}i=1 ) . The usual interpretation is that Ai is a set of pure actions.1 The set of feasible payoff vectors of the stage game G is given by the set F ≡ {p ∈ Rn| f (a) = p for some a ∈ A}. Let F∗ be the convex hull of the set of feasible payoffs. It should be clear that any normalized payoff in the repeate...
متن کاملBrownian motion and gambling: from ratchets to paradoxical games
Two losing gambling games, when alternated in a periodic or random fashion, can produce a winning game. This paradox has been inspired by certain physical systems capable of rectifying fluctuations: the so-called Brownian ratchets. In this paper we review this paradox, from Brownian ratchets to the most recent studies on collective games, providing some intuitive explanations of the unexpected ...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincare (B) Probability and Statistics
سال: 1999
ISSN: 0246-0203
DOI: 10.1016/s0246-0203(99)80004-1