Matt DeVos and Deborah A. Kent

Front Cover
American Mathematical Soc., Dec 27, 2016 - Combinatorial analysis - 343 pages

This book offers a gentle introduction to the mathematics of both sides of game theory: combinatorial and classical. The combination allows for a dynamic and rich tour of the subject united by a common theme of strategic reasoning. Designed as a textbook for an undergraduate mathematics class and with ample material and limited dependencies between the chapters, the book is adaptable to a variety of situations and a range of audiences. Instructors, students, and independent readers alike will appreciate the flexibility in content choices as well as the generous sets of exercises at various levels.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Combinatorial games
1
Normalplay games
25
Impartial games
45
Hackenbush and partizan games
63
Zerosum matrix games
89
Von Neumanns Minimax Theorem
111
General games
133
Nash equilibrium and applications
161
Preferences and society
275
On games and numbers
301
Linear programming
309
Nash equilibrium in high dimensions
323
Game boards
331
Bibliography
335
Index of games
339
Index
341

Nashs Equilibrium Theorem
187
Cooperation
213
player games
245
Back Cover
344
Copyright

Common terms and phrases

About the author (2016)

Matt DeVos: Simon Fraser University, Burnaby, BC, Canada,
Deborah A. Kent: Drake University, Des Moines, IA

Bibliographic information