Borel Games are multiplayer games with infinite horizon and general payoff functions. These types of games, first introduced by Gale and Stewart (1953), were studied within descriptive set theory in the context of two-player zero-sum games. Only recently have they attracted attention from the broader game theory community. This book is the first attempt to present a comprehensive exploration of Borel Games in a single volume.
The book can be used as a main text for a graduate-level course on Borel games, or as a supplementary text for a more general course on game theory. Students are assumed to be familiar with set theory and to have a basic understanding of general game theory.
Features
· Replete with exercises, with solutions available online for course instructors
· Includes a selection of open problems to invite further study
· The first comprehensive coverage of Borel Games in a single volume.
Borel Games are multiplayer games with infinite horizon and general payoff functions.
Chapter 1 Introduction
Chapter 2 Mathematical Preliminaries
Chapter 3
Determinacy of Games
Chapter 4 Games with General Payoff Functions
Chapter 5
The Value of Zero-Sum Blackwell Games
Chapter 6 Multiplayer Blackwell Games
Chapter 7 Games with Eventual Perfect Monitoring
Chapter 8 Open Problems
Bibliography Index
Eilon Solan is a professor at the School of Mathematical Sciences at Tel Aviv University, specializing in Game Theory. He earned his Ph.D. in 1998 from the Hebrew University of Jerusalem and spent two years at the Kellogg School of Management at Northwestern University before joining Tel Aviv University. Solans research focuses on dynamic games, including stochastic games, stopping games, games with vector payoffs, infinite horizon games with general payoffs, and dynamic decision problems. He has made significant contributions to the study of equilibrium existence in dynamic games and the impact of information in games. Solan co-authored the textbook Game Theory with Michael Maschler and Shmuel Zamir, and authored the graduate-level text Introduction to Stochastic Game Theory.
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