Stochastic Multiplayer Games: Theory and Algorithms

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.

**Tag(s):**
Game Theory

**Publication date**: 09 Feb 2014

**ISBN-10**:
9085550408

**ISBN-13**:
9789085550402

**Paperback**:
174 pages

**Views**: 5,010

**Type**: Thesis

**Publisher**:
Amsterdam University Press

**License**:
Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported

**Post time**: 09 Dec 2016 08:00:00

Stochastic Multiplayer Games: Theory and Algorithms

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.

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From the Preface:

Michael Ummels wrote:The last decades have seen an immense amount of research on the algorithmic content of game theory. On the one hand, a new subject called algorithmic game theory has emerged that is concerned with the study of the algorithmic theory of finite games with multiple players. On the other hand, infinite and, in particular, stochastic two-player zero-sum games have become an important tool for the verification of open systems, which interact with their environment.

The aim of this work is to bring together algorithmic game theory with the games that are used in verification by extending the algorithmic theory of stochastic two-player zero-sum games to incorporate multiple players, whose objectives are not necessarily conflicting. In particular, this work contains a comprehensive study of the complexity of the most prominent solution concepts that are applicable in this setting, namely Nash and subgame-perfect equilibria.

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About The Author(s)

Michal Ummels graduated from RWTH Aachen in January 2010. Now he is a research associate at the German Aerospace Center (DLR). Until June 2009, he was involved in the DFG Research Training Group 1298.

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