Game and Economic Theory
Selected Contributions in Honor of Robert J. Aumann

Sergiu Hart and Abraham Neyman, Editors

University of Michigan Press, June 1995



   
   


Table of Contents

Introduction
Sergiu Hart and Abraham Neyman
Robert J. Aumann: An Overview of his Work
Aumann's Students
This Volume
Appendix A: A Short Biographical Sketch of Robert J. Aumann
Appendix B: Publications of Robert J. Aumann
Appendix C: The Doctoral Students of Robert J. Aumann
Part I: Strategic Equilibrium

1
Kalai, Ehud and Dov Samet (1984), "Persistent Equilibria in Strategic Games", International Journal of Game Theory 13 (3), 129-144.

2
Kohlberg, Elon and Jean-François Mertens (1986), "On the Strategic Stability of Equilibria", Econometrica 54 (5), 1003-1037.

3
Kalai, Ehud and Ehud Lehrer (1993), "Rational Learning Leads to Nash Equilibrium", Econometrica 61 (5), 1019-1045.

Part II: Repeated Games and Stochastic Games

4
Mertens, Jean-François and Shmuel Zamir (1971), "The Value of Two-Person Zero-Sum Repeated Games with Lack of Information on Both Sides", International Journal of Game Theory 1, 39-64.

5
Hart, Sergiu (1985), "Nonzero-Sum Two-Person Repeated Games with Incomplete Information", Mathematics of Operations Research 10 (1), 117-153.

6
Lehrer, Ehud (1992), "Correlated Equilibria in Two-Player Repeated Games with Nonobservable Actions", Mathematics of Operations Research 17 (1), 175-199.

7
Bewley, Truman and Elon Kohlberg (1976), "The Asymptotic Theory of Stochastic Games", Mathematics of Operations Research 1 (3), 197-208.

8
Mertens, Jean-François and Abraham Neyman (1981), "Stochastic Games", International Journal of Game Theory 10 (2), 53-66.

Part III: Cooperative Solutions

9
Schmeidler, David (1969), "The Nucleolus of a Characteristic Function Game", SIAM Journal of Applied Mathematics 17 (6), 1163-1170.

10
Tauman, Yair (1977), "A Nondiagonal Value on a Reproducing Space", Mathematics of Operations Research 2 (4) 331-337.

11
Neyman, Abraham (1982), "Renewal Theory for Sampling without Replacement", The Annals of Probability 10 (2), 464-481.

12
Peleg, Bezalel (1985), "An Axiomatization of the Core of Cooperative Games without Side Payments", Journal of Mathematical Economics 14, 203-214.

Part IV: Large Economies

13
Shitovitz, Benyamin (1973), "Oligopoly in Markets with a Continuum of Traders", Econometrica 41 (3), 467-501.

14
Shitovitz, Benyamin (1994), "Equivalence Theorem for the Core of a Duopolistic Market Game with Concave Utilities", Journal of Mathematical Economics 23, 101-106.

15
Hart, Sergiu (1977), "Values of Non-Differentiable Markets with a Continuum of Traders", Journal of Mathematical Economics 4, 103-116.

16
Mirman, Leonard J. and Yair Tauman (1982), "Demand Compatible Equitable Cost Sharing Prices", Mathematics of Operations Research 7 (1), 40-56.

Part V: Information, Knowledge and Utility

17
Mertens, Jean-François and Shmuel Zamir (1985), "Formulation of Bayesian Analysis for Games with Incomplete Information", International Journal of Game Theory 14 (1), 1-29.

18
Monderer, Dov and Dov Samet (1989), "Approximating Common Knowledge with Common Beliefs", Games and Economic Behavior 1, 170-190.

19
Schmeidler, David (1989), "Subjective Probability and Expected Utility without Additivity", Econometrica 57 (3), 571-587.

Part VI: Other Contributions

20
Peleg, Bezalel (1978), "Consistent Voting Systems", Econometrica 46 (1), 153-161.

21
Artstein, Zvi (1989), "Parametrized Integration of Multifunctions with Applications to Control and Optimization", SIAM Journal of Control and Optimization 27 (6), 1369-1380.

22
Artstein, Zvi (1980), "Discrete and Continuous Bang-Bang and Facial Spaces or: Look for the Extreme Points", SIAM Review 22 (2), 172-185.