Maximum likelihood equilibria of random games
نویسندگان
چکیده
منابع مشابه
Random Games and Maximum Likelihood Equilibria
This paper considers random games, in which the actual game being played | its player set, the action spaces of the involved players, and their preferences | is determined by a stochastic state of nature. To capture the uncertainty at the planning stage whether or not a certain action choice is feasible, maximum likelihood equilibria are introduced: strategy pro ̄les that lead to equilibrium pla...
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In the games with population uncertainty introduced in this paper, the number and identity of the participating players are determined by chance. Games with population uncertainty are shown to include Poisson games and random-player games. The paper focuses on those strategy pro ̄les that are most likely to yield a Nash equilibrium in the game selected by chance. Existence of maximum likelihood ...
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This paper studies the likelihood of the existence of a pure Nash equilibrium (PNE) in random payoff graphical games. Here, players are represented by vertices, they choose a strategy in finite discrete sets of strategies, and the scope of a player’s utility function is only local. In this setting, the probability of existence of a PNE has been deeply studied for various graphical structures wh...
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Existence results for maximum likelihood Nash equilibria for random games were given by Borm, Cao and García-Jurado, and by Voorneveld. Here we discuss the relationship of those results with ordinary existence results for Nash equilibria, a traditional subject in game theory.
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The statistical modeling of social network data is difficult due to the complex dependence structure of the tie variables. Statistical exponential families of distributions provide a flexible way to model such dependence. They enable the statistical characteristics of the network to be encapsulated within an exponential family random graph (ERG) model. For a long time, however, likelihood-based...
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ژورنال
عنوان ژورنال: Optimization
سال: 1995
ISSN: 0233-1934,1029-4945
DOI: 10.1080/02331939508844128