Pallas ProefschriftenStochastic Multiplayer Games: Theory and Algorithms (Pallas Proefschriften) 9085550408, 9789085550402

Author : Michael Ummels
Description:Stochastic games provide a versatile model for reactive systems that are affected by random events. This dissertation advances the algorithmic theory of stochastic games to incorporate multiple players, whose objectives are not necessarily conflicting. The basis of this work is a comprehensive complexity-theoretic analysis of the standard game-theoretic solution concepts in the context of stochastic games over a finite state space. One main result is that the constrained existence of a Nash equilibrium becomes undecidable in this setting. This impossibility result is accompanied by several positive results, including efficient algorithms for natural special cases.
Categories: Mathematics Game Theory
Year :2010
Publisher : Pallas Publications
Language : English
N° Of Pages : 175
File Info : pdf 2 Mb