Journal ArticleDOI
How noise matters
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In this article, the authors investigated the invariance of random matching results to noise in a large class of two-strategy population games where payoffs may vary non-linearly with the distribution of strategies among the population.About:
This article is published in Games and Economic Behavior.The article was published on 2003-08-01. It has received 200 citations till now. The article focuses on the topics: Noise & Stochastic game.read more
Citations
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Evolutionary games on graphs
György Szabó,Gábor Fáth +1 more
TL;DR: The major theme of the review is in what sense and how the graph structure of interactions can modify and enrich the picture of long term behavioral patterns emerging in evolutionary games.
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Evolutionary game theory: temporal and spatial effects beyond replicator dynamics
TL;DR: In this paper, a review of non-mean-field effects in evolutionary game dynamics is presented, focusing on the non-trivial modifications they induce when compared to the outcome of replicator dynamics.
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Evolutionary game theory: Temporal and spatial effects beyond replicator dynamics
TL;DR: This review discusses temporal and spatial effects focusing on the non-trivial modifications they induce when compared to the outcome of replicator dynamics, and the hypothesis of linearity and its relation to the choice of the rule for strategy update is analyzed.
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Potential Games with Continuous Player Sets
TL;DR: It is shown that the games studied here are the limits of convergent sequences of the finite player potential games studied by Monderer and Shapley [22], and that behavior converges to Nash equilibrium from all initial conditions.
References
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Book
Probability: Theory and Examples
TL;DR: In this paper, a comprehensive introduction to probability theory covering laws of large numbers, central limit theorem, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion is presented.
Book
A first course in stochastic processes
Samuel Karlin,Howard M. Taylor +1 more
TL;DR: In this paper, the Basic Limit Theorem of Markov Chains and its applications are discussed and examples of continuous time Markov chains are presented. But they do not cover the application of continuous-time Markov chain in matrix analysis.
Journal ArticleDOI
The evolution of conventions
TL;DR: In this article, the authors show how a group of individuals can learn to play a coordination game without any common knowledge and with only a small amount of rationality, using perturbed Markov processes.
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REGULAR ARTICLEPotential Games
Dov Monderer,Lloyd S. Shapley +1 more
TL;DR: In this paper, the authors define and discuss several notions of potential functions for games in strategic form, and characterize games that have a potential function, and present a variety of applications.
Journal ArticleDOI
A class of games possessing pure-strategy Nash equilibria
TL;DR: In this paper, a class of noncooperative games (of interest in certain applications) is described and each game in the class is shown to possess at least one Nash equilibrium in pure strategies.