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On the Convergence of Fictitious Play
7 references·14 citing·40 second hop
On the Convergence of Fictitious Play (1998)On the Convergence of Fictitious PlayThree Problems in Learning Mixed-Strategy Nash Equilibria (1993)Three Problems in Learning Mi…Learning Mixed Equilibria (1993)Learning Mixed EquilibriaStability and Perfection of Nash Equilibria (1991)Stability and Perfection of N…Comments on the Interpretation of Game Theory (1991)Comments on the Interpretatio…Oddness of the number of equilibrium points: A new proof (1973)Oddness of the number of equi…Games with randomly disturbed payoffs: A new rationale for mixed-strategy equilibrium points (1973)Games with randomly disturbed…An Iterative Method of Solving a Game (1951)An Iterative Method of Solvin…The Confluence of Networks, Games, and Learning a Game-Theoretic Framework for Multiagent Decision Making Over Networks (2022)The Confluence of Networks, G…Deep Fictitious Play for Finding Markovian Nash Equilibrium in Multi-Agent Games (2019)Deep Fictitious Play for Find…On Best-Response Dynamics in Potential Games (2018)On Best-Response Dynamics in …The effect of model uncertainty on cooperation in sensorimotor interactions (2013)The effect of model uncertain…No-regret dynamics and fictitious play (2013)No-regret dynamics and fictit…Zero-Sum Two Person Games (2011)Zero-Sum Two Person GamesLearning in games with unstable equilibria (2008)Learning in games with unstab…Unified Convergence Proofs of Continuous-Time Fictitious Play (2004)Unified Convergence Proofs of…A cognitive hierarchy theory of one-shot games: Some preliminary results (2002)A cognitive hierarchy theory …Learning Purified Mixed Equilibria (2000)Learning Purified Mixed Equil…Experimentation, Imitation, and Stochastic Stability (1999)Experimentation, Imitation, a…On the Rate of Convergence of Continuous-Time Fictitious Play (1998)On the Rate of Convergence of…On the Nonconvergence of Fictitious Play in Coordination Games (1998)On the Nonconvergence of Fict…Learning from Personal Experience: One Rational Guy and the Justification of Myopia (1997)Learning from Personal Experi…Two-Person Cooperative Games (1953)Rational Behaviour and Bargaining Equilibrium in Games and Social Situations (1977)Perfect Equilibrium in a Bargaining Model (1982)On the Interpretation of Decision Problems with Imperfect Recall (1997)Analogy-based expectation equilibrium (2004)Evolution of the Social Contract (2014)Non-Cooperative Games (1951)Games with Incomplete Information Played by “Bayesian” Players, I–III Part I. The Basic Model (1967)Non-cooperative games (1989)Quantal Response Equilibria for Extensive Form Games (1998)Repeated Games and Reputations (2006)Sequential Estimation of Dynamic Discrete Games (2007)Learning, Mutation, and Long Run Equilibria in Games (1993)The Evolution of Conventions (1993)Potential Games (1996)Heterogeneous beliefs and local information in stochastic fictitious play (2009)A generalized approach to belief learning in repeated games (2014)Equilibrium Points in Nonzero-Sum n -Person Submodular Games (1979)Theory of Games and Economic Behavior (2006)Introduction to Multi-Armed Bandits (2019)Quantal Response Equilibria for Normal Form Games (1995)Evolutionary Games and Population Dynamics (1998)The Theory of Learning in Games (1998)Recency, consistent learning, and Nash equilibrium (2014)On Passivity, Reinforcement Learning, and Higher Order Learning in Multiagent Finite Games (2020)Evolutionary game dynamics (2003)Fictitious Play in Zero-Sum Stochastic Games (2022)16. Acceptable Points in General Cooperative n-Person Games (1959)The tracing procedure: A Bayesian approach to defining a solution forn-person noncooperative games (1975)Evolutionary stability in extensive two-person games (1983)Penalty has no Impact on Crime: (1990)On economic applications of evolutionary game theory (1998)On the Global Convergence of Stochastic Fictitious Play (2002)Dynamic fictitious play, dynamic gradient play, and distributed convergence to Nash equilibria (2005)Mixed Equilibria and Dynamical Systems Arising from Fictitious Play in Perturbed Games (1999)Regret Testing: Learning to Play Nash Equilibrium Without Knowing You Have an Opponent (2006)Flows and Decompositions of Games: Harmonic and Potential Games (2011)An evolutionary approach to explaining cooperative behavior by reciprocal incentives (1995)On Rationalizability in Extensive Games (1997)Strong Belief and Forward Induction Reasoning (2002)
this work references cited by second hop

References

  • 1973Games with randomly disturbed payoffs: A new rationale for mixed-strategy equilibrium points887 cited
  • 1951An Iterative Method of Solving a Game867 cited
  • 1991Comments on the Interpretation of Game Theory521 cited
  • 1993Learning Mixed Equilibria488 cited
  • 1991Stability and Perfection of Nash Equilibria353 cited
  • 1993Three Problems in Learning Mixed-Strategy Nash Equilibria182 cited
  • 1973Oddness of the number of equilibrium points: A new proof179 cited

Cited by

  • 2008Learning in games with unstable equilibria65 cited
  • 2018On Best-Response Dynamics in Potential Games63 cited
  • 1997Learning from Personal Experience: One Rational Guy and the Justification of Myopia56 cited
  • 2004Unified Convergence Proofs of Continuous-Time Fictitious Play56 cited
  • 1998On the Nonconvergence of Fictitious Play in Coordination Games56 cited
  • 2022The Confluence of Networks, Games, and Learning a Game-Theoretic Framework for Multiagent Decision Making Over Networks54 cited
  • 1998On the Rate of Convergence of Continuous-Time Fictitious Play53 cited
  • 2000Learning Purified Mixed Equilibria53 cited

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  • 1999Experimentation, Imitation, and Stochastic Stability44 cited
  • 2013No-regret dynamics and fictitious play43 cited
  • 2011Zero-Sum Two Person Games42 cited
  • 2019Deep Fictitious Play for Finding Markovian Nash Equilibrium in Multi-Agent Games29 cited
  • 2002A cognitive hierarchy theory of one-shot games: Some preliminary results24 cited
  • 2013The effect of model uncertainty on cooperation in sensorimotor interactions18 cited