Information flow in learning a coin-tossing game

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  • Sato Yuzuru
    RIES / Department of Mathematics, Hokkaido Univeristy London Mathematical Laboratory
  • Ay Nihat
    Max Planck Institute for Mathematics in the Sciences Santa Fe Institute Faculty of Mathematics and Computer Science, University of Leipzig

抄録

Information flow in adaptively interacting stochastic processes is studied. We give an extended form of game dynamics for interacting Markovian processes and compute a measure of causal information flow, which is different from the transfer entropy. In the game theoretic situation, causal information flow can show oscillatory behavior through reward-maximizing adaptation of two players. The adaptive dynamics for the coin-tossing game is exemplified and the causal information flow therein is investigated.

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