Game Theory: Decisions, Interaction and Evolution

✍ Scribed by James N. Webb

• Publisher: Springer
• Year: 2007
• Tongue: English
• Leaves: 251
• Series: Springer Undergraduate Mathematics Series
• Category: Library

✦ Synopsis

The outstanding feature of this book is that it provides a unified account of three types of decision problem. It covers the basic ideas of decision theory, classical game theory, and evolutionary game theory in one volume. No background knowledge of economics or biology is required as examples have been carefully selected for their accessibility. Detailed solutions to the numerous exercises are provided at the back of the book, making it ideal for self-study. This introduction to game theory is intended as a first course for undergraduate students of mathematics, but it will also interest advanced students or researchers in biology and economics.

✦ Table of Contents

Front Matter....Pages i-ix
Front Matter....Pages 1-1
Simple Decision Models....Pages 3-22
Simple Decision Processes....Pages 23-35
Markov Decision Processes....Pages 37-57
Front Matter....Pages 59-59
Static Games....Pages 61-87
Finite Dynamic Games....Pages 89-105
Games with Continuous Strategy Sets....Pages 107-117
Infinite Dynamic Games....Pages 119-135
Front Matter....Pages 137-137
Population Games....Pages 139-163
Replicator Dynamic....Pages 165-185
Back Matter....Pages 187-241