English, Article, Journal or magazine article edition: Note on State Dependent Mutations as an Equilibrium Refinement Device T. DEMUYNCK; A. SCHOLLAERT

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Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Note on State Dependent Mutations as an Equilibrium Refinement Device
Author
  • T. DEMUYNCK
  • A. SCHOLLAERT
Physical Description
  • preprint
Notes
  • This note focuses on the use of utility monotonic perturbations as a means of modelling the mutation process in evolutionary models. We show that a game has a detailed balanced and utility monotonic perturbation if and only if it is an ordinal potential game. We also show that utility monotonicity is not strong enough to serve as an equilibrium refinement device for ordinal potential games. An equilibrium refinement device that is applicable to a general class of games must, therefore, satisfy a stronger utility monotonicity condition while the detailed balance condition can no longer hold. We believe that a tightening of the bounds on the magnitude of stationary distributions could substantially further research in this topic.
  • RePEc:rug:rugwps:06/​408
Language
  • English
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