Theory of Games and Economic Behavior
Theory of Games and Economic Behavior
- Theory of Games and Economic Behavior***, published in 1944 by Princeton University Press, is a book by mathematician [[john-von-neumann]] and economist [[oskar-morgenstern]] which is considered the groundbreaking text that created the interdisciplinary research field of [[game-theory]]. In its introduction to the 60th anniversary edition, Princeton University Press describes the book as "the classic work upon which modern-day game theory is based."
Overview The book is based partly on earlier research by von Neumann, published in 1928 under the German title "Zur Theorie der Gesellschaftsspiele" ("On the Theory of Board Games").
The derivation of expected utility from its axioms appeared in an appendix to the Second Edition (1947). Von Neumann and Morgenstern used objective probabilities, supposing that all the agents had the same probability distribution, as a convenience. However, Neumann and Morgenstern mentioned that a theory of subjective probability could be provided, and this task was completed by Jimmie Savage in 1954 and Johann Pfanzagl in 1967. Savage extended von Neumann and Morgenstern's axioms of rational preferences to endogenize probability and make it subjective. He then used Bayes' theorem to update these subject probabilities in light of new information, thus linking rational choice and inference.
The book begins with a preface. This is then followed by a chapter on the Formulation of the Economic Problem and one on a General Formal Description of Games of Strategy. Zero sum games are then introduced. Firstly with a chapter on a Theory of Zero-Sum Two-Person Games, then one on Examples, and then one on Three-Person Games Zero Sum games. A General Theory: Zero-Sum N-Person Games is offered and then a chapter on Four-Person Zero-Sum games. After these is a chapter offering Some Remarks Concerning N ≧ 5 Participants Games. Then chapters on the Composition and Decomposition of Games, one on Simple Games and one on General Non-Zero-Sum Games are provided. The final chapter is on Extensions of the Concepts of Domination and Solution. After this at the end of the book there is an appendix offering an Axiomatic Treatment of Utility.