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Learning to play approximate Nash equilibria in games with many players

  • Edward Cartwright

We illustrate one way in which a population of boundedly rational individuals can learn to play an approximate Nash equilibrium. Players are assumed to make strategy choices using a combination of imitation and innovation. We begin by looking at an imitation dynamic and provide conditions under which play evolves to an imitation equilibrium ; convergence is conditional on the network of social interaction. We then illustrate, through example, how imitation and innovation can complement each other; in particular, we demonstrate how imitation can help a population to learn to play a Nash equilibrium where more rational methods do not. This leads to our main result in which we provide a general class of large game for which the imitation with innovation dynamic almost surely converges to an approximate Nash, imitation equilibrium.

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Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 506439000000000070.

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Date of creation: 20 Dec 2002
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Handle: RePEc:cla:levarc:506439000000000070
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