Conditionally Stationary Equilibria in Discounted Dynamic Games

Conditionally Stationary Equilibria in Discounted Dynamic Games

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Article ID: iaor201111654
Volume: 1
Issue: 4
Start Page Number: 514
End Page Number: 533
Publication Date: Dec 2011
Journal: Dynamic Games and Applications
Authors:
Keywords: semi-Markov games, Nash equilibrium, dynamic games
Abstract:

This paper introduces simple conditionally stationary strategies and related stationary penal codes for dynamic games with perfect monitoring. The class of equilibria that these strategies support is defined–they are called conditionally stationary equilibria. The main results are necessary and sufficient conditions for extremal strategies, or corresponding penal codes, which give the minimal payoffs to players among conditionally stationary equilibria. Results are applied to resource extraction games.

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