Stochastic Multiplayer Games: Theory and Algorithms
Michael Ummels
Jan 2010 · Amsterdam University Press
Ebook
174
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About this ebook
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.
About the author
Michael Ummels received his diploma degree in computer science from RWTH Aachen University. He started his doctoral studies at the same university in 2006, supervised by Prof. Dr. Erich Grädel and Prof. Dr. Dr.h.c. Wolfgang Thomas. As ofFebruary 2010, the author is a postdoctoral researcher at ENS Cachan.
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