The History of Game Theory, Volume 1: From the Beginnings to 1945

ISBN-13: 9780415072571 / Angielski / Twarda / 1996 / 200 str.

Mary-Ann Dimand; Mary A. Dimand; Robert Dimand

Opis

Game Theory - the formal modelling of conflict and cooperation - first emerged as a recognized field with a publication of John von Neumann and Oskar Morgenstern's Theory of Games and Economic Behaviour in 1944. Since then, game-theoretic thinking about choice of strategies and the interdependence of people's actions has influenced all the social sciences. However, little is known about the history of the theory of strategic games prior to this publication.
In this volume, the history of strategic games - from its origins up to 1945 - is traced through the work of:
* 19th Century economists such as Cournot and Edgeworth
* Voting theorists - including Lewis Carroll
* Conflict theorists - Richardson and Lanchester
* Probabilists such as Bertrand, Borel and Ville
* Later economists - notably Stackelberg and Zeuthen
This authoritative account of the history of game theory concludes with a historical perspective on the achievement of von Neumann and Morgenstern, and an appraisal of the reception of their book.

Spis treści

Chapter 1. Introduction: Defining Game Theory and its History, Chapter 2. Strategic Interdependence: Cournot and Duopoly Chapter, 3. Cournot's Heirs and Asymmetry, Chapter 4. Strategic Interdependence: Bilateral Monopoly, Chapter 5. Lewis Caroll and the Game of Politics, Chapter 6. Early Mathematical Models of Conflict: the Contributions of Lanchester and Richardson, Chapter 7. The Minimax Approach to Noncooperative Strategic Games from Waldegrave to Borel Chapter, 8. From Games of Pure Chance to Strategic Games: French Probabilists and Early Game Theory, Chapter 9. Von Neumann and Morgenstern in Historical Perspective References

O autorze

Mary-Ann Dimand, Robert W Dimand