ABSTRACT

This second edition of Lessons in Play reorganizes the presentation of the popular original text in combinatorial game theory to make it even more widely accessible. Starting with a focus on the essential concepts and applications, it then moves on to more technical material. Still written in a textbook style with supporting evidence and proofs, the authors add many more exercises and examples and implement a two-step approach for some aspects of the material involving an initial introduction, examples, and basic results to be followed later by more detail and abstract results.

Features

  • Employs a widely accessible style to the explanation of combinatorial game theory
  • Contains multiple case studies
  • Expands further directions and applications of the field
  • Includes a complete rewrite of CGSuite material

chapter Chapter 0|10 pages

Combinatorial Games

chapter Chapter 1|23 pages

Basic Techniques

chapter Chapter 2|23 pages

Outcome Classes

chapter Chapter 3|14 pages

Motivational Interlude: Sums of Games

chapter Chapter 4|30 pages

The Algebra of Games

chapter Chapter 5|63 pages

Values of Games

chapter Chapter 6|17 pages

Structure

chapter Chapter 7|26 pages

Impartial Games

chapter Chapter 8|26 pages

Hot Games

chapter Chapter 9|25 pages

All-Small Games

chapter Chapter 10|25 pages

Trimming Game Trees

chapter Chapter ω|8 pages

Combinatorial Games