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Games 2013, 4(4), 648-669; doi:10.3390/g4040648
Article

An Adaptive Learning Model in Coordination Games

Received: 15 September 2013; in revised form: 4 November 2013 / Accepted: 7 November 2013 / Published: 15 November 2013
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Abstract: In this paper, we provide a theoretical prediction of the way in which adaptive players behave in the long run in normal form games with strict Nash equilibria. In the model, each player assigns subjective payoff assessments to his own actions, where the assessment of each action is a weighted average of its past payoffs, and chooses the action which has the highest assessment. After receiving a payoff, each player updates the assessment of his chosen action in an adaptive manner. We show almost sure convergence to a Nash equilibrium under one of the following conditions: (i) that, at any non-Nash equilibrium action profile, there exists a player who receives a payoff, which is less than his maximin payoff; (ii) that all non-Nash equilibrium action profiles give the same payoff. In particular, the convergence is shown in the following games: the battle of the sexes game, the stag hunt game and the first order statistic game. In the game of chicken and market entry games, players may end up playing the action profile, which consists of each player’s unique maximin action.
Keywords: payoff assessment; learning; coordination games payoff assessment; learning; coordination games
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Funai, N. An Adaptive Learning Model in Coordination Games. Games 2013, 4, 648-669.

AMA Style

Funai N. An Adaptive Learning Model in Coordination Games. Games. 2013; 4(4):648-669.

Chicago/Turabian Style

Funai, Naoki. 2013. "An Adaptive Learning Model in Coordination Games." Games 4, no. 4: 648-669.


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