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Chaos in Learning a Simple Two Person Game

Listed author(s):
  • Yuzuru Sato
  • Eizo Akiyama
  • J. Doyne Farmer

We investigate the problem of learning to play a generalized rock-paper-scissors game. Each player attempts to improve her average score by adjusting the frequency of the three possible responses. For the zero-sum case the learning process displays Hamiltonian chaos. The learning trajectory can be simple or complex, depending on initial conditions. For the non-zero-sum case it shows chaotic transients. This is the first demonstration of chaotic behavior for learning in a basic two person game. As we argue here, chaos provides an important self-consistency condition for determining when adaptive players will learn to behave as though they were fully rational.

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Paper provided by Santa Fe Institute in its series Working Papers with number 01-09-049.

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Date of creation: Sep 2001
Handle: RePEc:wop:safiwp:01-09-049
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