Oberwolfach Seminars

Positional Games

Authors: Hefetz, D., Krivelevich, M., Stojakovic, M., Szabó, T.

  • Unique, concise introductory text to the subject
  • Covers classical topics as well as recent very important developments
  • Relatively short, clear and self-contained text, accessible to a general mathematical audience only basic background in combinatorics is assumed
  • Theoretical material is accompanied by exercises of varying degree of difficulty
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  • ISBN 978-3-0348-0825-5
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Softcover $34.99
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  • ISBN 978-3-0348-0824-8
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About this Textbook

This text is based on a lecture course given by the authors in the framework of Oberwolfach Seminars at the Mathematisches Forschungsinstitut Oberwolfach in May, 2013. It is intended to serve as a thorough introduction to the rapidly developing field of positional games. This area constitutes an important branch of combinatorics, whose aim it is to systematically develop an extensive mathematical basis for a variety of two player perfect information games. These ranges from such popular games as Tic-Tac-Toe and Hex to purely abstract games played on graphs and hypergraphs. The subject of positional games is strongly related to several other branches of combinatorics such as Ramsey theory, extremal graph and set theory, and the probabilistic method. These notes cover a variety of topics in positional games, including both classical results and recent important developments. They are presented in an accessible way and are accompanied by exercises of varying difficulty, helping the reader to better understand the theory. The text will benefit both researchers and graduate students in combinatorics and adjacent fields.

About the authors

Dan Hefetz obtained his PhD in computer science at Tel Aviv University and is lecturer in pure mathematics at the University of Birmingham. Michael Krivelevich obtained his PhD in mathematics at Tel Aviv University, Israel, where he is now a full professor. Miloš Stojaković obtained his PhD in computer science at ETH Zürich, Switzerland, and is now an associate professor at the University of Novi Sad, Serbia. Tibor Szabó, who received his PhD from the Ohio State University, is a professor in the mathematics department at Freie Universität Berlin, Germany. One of their common research interests is positional games. In May 2013 they jointly organized a workshop on this topic at the Mathematisches Forschungsinstitut Oberwolfach (MFO).

Table of contents (9 chapters)

Buy this book

eBook $24.99
price for USA (gross)
  • ISBN 978-3-0348-0825-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $34.99
price for USA
  • ISBN 978-3-0348-0824-8
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Positional Games
Authors
Series Title
Oberwolfach Seminars
Series Volume
44
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0825-5
DOI
10.1007/978-3-0348-0825-5
Softcover ISBN
978-3-0348-0824-8
Series ISSN
1661-237X
Edition Number
1
Number of Pages
X, 146
Number of Illustrations and Tables
5 b/w illustrations, 8 illustrations in colour
Topics