منابع مشابه
Stochastic dominance equilibria in two-person noncooperative games
Two-person noncooperative games with finitely many pure strategies and ordinal preferences over pure outcomes are considered, in which probability distributions resulting from mixed strategies are evaluated according to t-degree stochastic dominance. A t-best reply is a strategy that induces a t-degree stochastically undominated distribution, and a t-equilibrium is a pair of t-best replies. The...
متن کاملNoncooperative Games and Applications
A basic problem in optimization theory is to find the maximum value of a function φ over a set X: max x∈X φ(x). (1) One can think of X as the set of possible choices available to an individual, while φ(x) is his corresponding payoff. Game theory, on the other hand, is concerned with the more complex situation where two or more individuals, or " players " are present [?]. Each player can choose ...
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For a non-cooperative differential game, the value functions of the various players satisfy a system of Hamilton-Jacobi equations. In the present paper, we consider a class of infinitehorizon games with nonlinear costs exponentially discounted in time. By the analysis of the value functions, we establish the existence of Nash equilibrium solutions in feedback form and provide results and counte...
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We consider routing games where the performance of each user is dictated by the worst (bottleneck) element it employs. We are given a network, finitely many (selfish) users, each associated with a positive flow demand, and a load-dependent performance function for each network element. We first prove the existence of a Nash equilibrium, considering two routing scenarios, namely when a user can ...
متن کاملNoncooperative Differential Games. A Tutorial
These notes provide a brief introduction to the theory of noncooperative differential games. After the Introduction, Section 2 reviews the theory of static games. Different concepts of solution are discussed, including Pareto optima, Nash and Stackelberg equilibria, and the co-co (cooperative-competitive) solutions. Section 3 introduces the basic framework of differential games for two players....
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1971
ISSN: 0003-4851
DOI: 10.1214/aoms/1177693059