Please note: In order to keep Hive up to date and provide users with the best features, we are no longer able to fully support Internet Explorer. The site is still available to you, however some sections of the site may appear broken. We would encourage you to move to a more modern browser like Firefox, Edge or Chrome in order to experience the site fully.

Positional Games, PDF eBook

Positional Games PDF

Part of the Oberwolfach Seminars series

PDF

Please note: eBooks can only be purchased with a UK issued credit card and all our eBooks (ePub and PDF) are DRM protected.

Description

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 readerto better understand the theory. The text will benefit both researchers and graduate students in combinatorics and adjacent fields.

Information

Other Formats

Information

Also in the Oberwolfach Seminars series