Lessons in Play

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

Table of Contents

0: Combinatorial Games

1: Basic Techniques

2: Outcome Classes

3: Motivational Interlude: Sums of Games

4: The Algebra of Games

5: Values of Games

6: Structure

7: Impartial Games

8: Hot Games

9: All-Small Games

10: Trimming Game Trees

w: Further Directions

A: Top-Down Induction

B: CGSuite

C: Solutions to Exercises

D: Rulesets