Mathematician:Robert John Aumann
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Mathematician
German-born Israeli-American mathematician noted for his work on conflict and cooperation through game-theory analysis.
Nationality
German
History
- Born: 8 June 1930 in Frankfurt am Main, Germany
Publications
- 1956: Asphericity of Alternating Knots (Ann. Math. Ser. 2 Vol. 64: pp. 374 – 392)
- 1959: Acceptable Points in General Cooperative $n$-Person Games (Contributions to the Theory of Games Vol. IV: pp. 287 – 324) (edited by A.W. Tucker and R.D. Luce)
- 1960: Von Neumann-Morgenstern Solutions to Cooperative Games without Side Payments (Bull. Amer. Math. Soc. Vol. 66: pp. 173 – 179) (with B. Peleg)
- 1963: A Definition of Subjective Probability (Ann. Math. Stat. Vol. 34: pp. 199 – 205) (with F.J. Anscombe)
- 1964: Markets with a Continuum of Traders (Econometrica Vol. 32: pp. 39 – 50) www.jstor.org/stable/1913732
- 1964: The Bargaining Set for Cooperative Games (Advances in Game Theory Vol. 63: pp. 443 – 476) (with M. Maschler) (edited by M. Dresher, L.P. Shapley and A.W. Tucker)
- 1972: Some Thoughts on the Minimax Principle (Management Science Vol. 18: pp. 54 – 63) (with M. Maschler)
- 1974: Subjectivity and Correlation in Randomized Strategies (J. Math. Econ. Vol. 1: pp. 67 – 96)
- 1974: Values of Non-Atomic Games (with L.S. Shapley)
- 1975: Values of Markets with a Continuum of Traders (Econometrica Vol. 43: pp. 611 – 646) www.jstor.org/stable/1913073
- 1976: Agreeing to Disagree (Annals of Statistics Vol. 4: pp. 1236 – 1239)
- 1985: An Axiomatization of the Non-Transferable Utility Value (Econometrica Vol. 53: pp. 599 – 612) www.jstor.org/stable/1911657
- 1985: What is Game Theory Trying to Accomplish? (Frontiers of Economics pp. 28 – 76) (edited by K.J. Arrow and S. Honkapohja)
- 1986: On the Non-Transferable Utility Value: Rejoinder (Econometrica Vol. 54: pp. 985 – 989) www.jstor.org/stable/1912848
- 1987: Correlated Equilibrium as an Expression of Bayesian Rationality (Econometrica Vol. 55: pp. 1 – 18) www.jstor.org/stable/1911154
- 1987: Game Theory (The New Palgrave Dictionary of Economics Vol. 2: pp. 460 – 482) (edited by J. Eatwell, M. Milgate and P. Newman)
- 1989: Lectures on Game Theory
- 1994: Long-Term Competition -- A Game-Theoretic Analysis (Essays in Game Theory pp. 1 – 15) (with L.S. Shapley) (edited by N. Megiddo)
- 1995: Repeated Games with Incomplete Information (with M. Maschler)
- 1995: Epistemic Conditions for Nash Equilibrium (Econometrica Vol. 63: pp. 1161 – 1180) (with Adam Brandenburger) www.jstor.org/stable/2171725