Fictitious play property for games with identical interests

Article Abstract:

Fictitious play property (FPP), which is characterized by initial moves that are randomly selected and absence of tie-breaking rules, is considered present in games with similar payoff functions for every participants. The process attains equilibrium only if mixed strategies remains close to a pre-determined set of equilibrium after undergoing several phases of the game. It is concluded that the presence of FPP is still applicable despite some modified definitions in the game environment.

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Equilibrium and reinforcement learning in private-information games: an experimental study

Article Abstract:

Standard game-theoretic concepts were used to describe the behavior of subjects in an experiment involving private-information games with mixed-strategy Nash equilibrium outcomes. Results showed that Nash equilibrium did not adequately describe subject behavior because of its static nature. By contrast, a learning model with no estimated parameters performed well in all aspects of the evolution of subject behavior over time.

Analysis, Learning models (Stochastic processes), Equilibrium (Economics), Stochastic models

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Consistency and cautious fictitious play

Article Abstract:

An application of game theory known as fictitious play is presented in a variant form where every action's probability is linked to such action's utility in the context of a historical trend in the corresponding play of the opponent. The utility is considered optimal and is not affected by the type of opponent strategy. The case where each participant in the game use consistent rules is also described.

Learning, Teaching models

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