Stochastic Multiplayer Games: Theory and Algorithms Contributor(s): Ummels, Michael (Author) |
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ISBN: 9085550408 ISBN-13: 9789085550402 Publisher: Pallas Publications
Binding Type: Paperback Published: December 2010 |
Additional Information |
BISAC Categories: - Computers | Computer Science - Computers | Programming - Algorithms - Mathematics | Game Theory |
Dewey: 519.3 |
Physical Information: 0.38" H x 6.14" W x 9.21" L (0.56 lbs) 174 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Stochastic games provide a versatile model for reactive systems that are a'ected 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 e(cient algorithms for natural special cases. |
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