Positional Games

• Main Authors: Hefetz, Dan (Author), Krivelevich, Michael (Author), Stojaković, Miloš (Author), Szabó, Tibor (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2014.
• Series: Oberwolfach Seminars, 44
• Subjects: Mathematics.; Game theory.; Combinatorics.; Game Theory, Economics, Social and Behav. Sciences.

This text serves 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 range fr...

Table of Contents:

• Preface
• 1 Introduction
• 2 Maker-Breaker Games
• 3 Biased Games
• 4 Avoider-Enforcer Games
• 5 The Connectivity Game
• 6 The Hamiltonicity Game
• 7 Fast and Strong
• 8 Random Boards
• 9 The Neighborhood Conjecture
• Bibliography.