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Stationary equilibria in discounted stochastic games with weakly interacting players

Ulrich Horst

No 2002,77, SFB 373 Discussion Papers from Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes

Abstract: We give sufficient conditions for a non-zero sum discounted stochastic game with compact and convex action spaces and with norm-continuous transition probabilities, but with possibly unbounded state space to have a N ash equilibrium in homogeneous Markov strategies that depends in a Lipsehitz continuous manner on the current state. H the underlying state space is compact this yields the existence of a stationary equilibrium. For a special class of stochastic games which arise in microstructure models for financial markets we establish the existence of equilibria which guarantee that the state sequence converges in distribution to a unique stationary measure.

Keywords: Stochastic Games; Stationary Equilibria; Microstructure Models for Financial Markets (search for similar items in EconPapers)
JEL-codes: D81 E32 (search for similar items in EconPapers)
Date: 2002
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Journal Article: Stationary equilibria in discounted stochastic games with weakly interacting players (2005) Downloads
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