Theory of Games and Economic Behavior
OCLC 1629708 | |
Theory of Games and Economic Behavior, published in 1944[1] 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.[2] In the introduction of its 60th anniversary commemorative edition from the Princeton University Press, the book is described 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").[3]
The derivation of
subjective probability could be provided, and this task was completed by Jimmie Savage in 1954 [4] and Johann Pfanzagl in 1967.[5] 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.
See also
- Pfanzagl, J (1967). "Subjective Probability Derived from the Utility Theory". In Martin Shubik (ed.). Essays in Mathematical Economics In Honor of Oskar Morgenstern. Princeton University Press. pp. 237–251.
- Pfanzagl, J. in cooperation with V. Baumann and H. Huber (1968). "Events, Utility and Subjective Probability". Theory of Measurement. Wiley. pp. 195–220.
- Utility". In Andrew Schotter (ed.). Selected Economic Writings of Oskar Morgenstern. New York University Press. pp. 65–70.
- Morgenstern Oskar (1976). "The Collaboration Between Oskar Morgenstern and John von Neumann on the Theory of Games". Journal of Economic Literature. 14 (3): 805–816. JSTOR 2722628.
- Commemorative edition of the book Theory of Games and Economic Behavior
- Copeland A. H. (1945). "Review of 'The Theory of Games and Economic Behavior". Bulletin of the American Mathematical Society. 51: 498–504. .
- JSTOR 1812602.
- JSTOR 2295753.
- S2CID 154536775.
- JSTOR 2225934.
References
- .
- ISBN 0-8223-1253-0.
- S2CID 122961988.
- ^ Savage, Leonard J. (1954). The Foundations of Statistics. New York: Dover.
- ^ An axiomatization for subjective expected utility appeared in Pfanzagl (1967, 1968) and was endorsed by Morgenstern (1976): "Von Neumann and I have anticipated" the question whether probabilities "might, perhaps more typically, be subjective and have stated specifically that in the latter case axioms could be found from which could derive the desired numerical utility together with a number for the probabilities (c.f. p. 19 of The Theory of Games and Economic Behavior). We did not carry this out; it was demonstrated by Pfanzagl . . . with all the necessary rigor" (page 65).
External links
- Theory of Games and Economic Behavior, full text at archive.org (public domain)