Stochastic Multiplayer Games: Theory and Algorithms (Pallas Proefschriften) - Softcover

Ummels, Michael

Softcover

ISBN 10: 9085550408 ISBN 13: 9789085550402

Publisher: Pallas Publications, 2014

Synopsis

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 complexitytheoretic 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 this title

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.

From the Back Cover

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.

Michael Ummels received his diploma degree in computer science from RWTH Aachen University. He started his doctoral studies at the same university in 2006, supervise 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.

Edition details

• Publisher: Pallas Publications
• Publication date: 2014
• Language: English
• ISBN 10: 9085550408
• ISBN 13: 9789085550402
• Binding: Paperback
• Edition number: 1
• Number of pages: 174