When “Better” is better than “Best”

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We consider two-player normal form games where each player has the same finite strategy set. The payoffs of each player are assumed to be i.i.d. random variables with a continuous distribution. We show that, with high probability, the better-response dynamics converges to pure Nash equilibrium whenever there is one, whereas best-response dynamics fails to converge, as it is trapped.

Original languageEnglish
Pages (from-to)260-264
Number of pages5
JournalOperations Research Letters
Issue number2
Publication statusPublished - Mar 2021


  • Best response dynamics
  • Pure Nash equilibrium
  • Random game

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