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N-Person Game Theory: Concepts and Applications (Dover Books on Mathema 1.4tics)

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Book Details:

  • Author: Anatol Rapoport

  • Publisher: Dover

  • Edition: Dover Edition

  • Binding: Paperback

  • Number of Pages: 336

  • ISBN-13: 9780486414553

  • Languages: English

  • Dimensions: 8.5 x 5.5 x 0.8 inches

About The Book:
N-Person Game Theory by Anatol Rapoport provides a deep dive into the fascinating world of game theory, with a focus on contests involving more than two players. As a sequel to his acclaimed Two-Person Game Theory, this book introduces readers to the logic and structure of multiplayer strategic interactions, which can range from competitive games like poker to complex international relations.

Written for readers with little mathematical background, this book strikes a balance between rigorous analysis and accessibility. Dr. Rapoport begins with an introduction to the necessary mathematical notation (mainly set theory), followed by a detailed exploration of basic concepts such as individual and group rationality, Von Neumann-Morgenstern solutions, the Shapley value, the bargaining set, and more.

Key features of the book:

  • A comprehensive and approachable introduction to game theory with multiple players.

  • Insightful discussions on social applications, including markets, legislatures, and coalitions.

  • A well-structured exploration of both theoretical concepts and practical applications in the real world.

This book is an essential read for economists, political scientists, and anyone interested in understanding the dynamics of negotiations and conflicts involving multiple parties. It is also ideal for readers who enjoy exploring mathematical logic and its real-world implications.