Uncoupled Dynamics Do Not Lead to Nash Equilibrium

Sergiu Hart and Andreu Mas-Colell


  
  
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(*) A more detailed proof of Lemma 3

Abstract
We call a dynamical system uncoupled if the dynamic for each player does not depend on the payoff functions of the other players. We show that there are no uncoupled dynamics that are guaranteed to converge to Nash equilibrium, even when the Nash equilibrium is unique.

Journal of Economic Literature Classification Numbers: C7, D83.


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