Borel Games
Published on 21. November 2025
240 pages
978-1-040-44133-6 (ISBN)
Description
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.
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.
More details
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Illustrations
2 Tables, black and white; 24 Line drawings, black and white; 24 Illustrations, black and white
File size
7,91 MB
ISBN-13
978-1-040-44133-6 (9781040441336)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Person
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. Solan's 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.
Content
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
