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Limit Behavior of No-regret Dynamics

  • Andriy Zapechelnyuk

    ()

    (University of Bonn and Kyiv School of Economics)

Consider a repeated game where all players follow no-regret strategies by reinforcing the actions that they regret not having played enough in the past. We show that a resulting no-regret dynamic approaches in the long run a best-response dynamic and leads to its invariant sets: rest points (Nash equilibria) or periodic orbits. The convergence results for best-response dynamics known in the literature immediately apply to no-regret dynamics. Thus, every no-regret dynamic leads to Nash equilibrium in zero-sum games, weighted potential and two-player ordinal potential games, supermodular games with diminishing returns, and some other special classes.

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File URL: http://repec.kse.org.ua/pdf/KSE_dp21.pdf
File Function: First version, October 2009
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Paper provided by Kyiv School of Economics in its series Discussion Papers with number 21.

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Date of creation: Oct 2009
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Handle: RePEc:kse:dpaper:21
Note: Under review in Journal of Economic Theory
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