Correlated equilibrium under uncertainty

Mathematical social sciences

Volumn 44, Issue 2, 2002, Pages 183-209

  Lo, Kin Chung ^a  

^a YORK UNIVERSITY   (Canada)

Author keywords

Belief functions; Correlated equilibrium; Knightian uncertainty; Multiple priors; Non additive probabilities

Indexed keywords

EID: 0036837741     PISSN: 01654896     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-4896(02)00025-2     Document Type: Article

References (37)

1. Aumann, R.J., 1974. Subjectivity and correlation in randomized strategies. Journal of Mathematical Economics 1, 67-96.
2. Aumann, R.J., 1987. Correlated equilibrium as an expression of Bayesian rationality. Econometrica 55, 1-18.
3. Bernheim, D., 1984. Rationalizable strategic behavior. Econometrica 52, 1007-1028.
4. Brandenburger, A., Dekel, E., 1987. Rationalizability and correlated equilibria. Econometrica 55, 1391-1402.
5. Brandenburger, A., Dekel, E., Geanakoplos, J., 1992. Correlated equilibrium with generalized information structures. Games and Economic Behavior 4, 182-201.
6. Camerer, C., Weber, M., 1992. Recent developments in modelling preference: Uncertainty and ambiguity. Journal of Risk and Uncertainty 5, 325-370.
7. Dempster, A., 1967. Upper and lower probabilities induced from a multivalued mapping. Annals of Mathematical Statistics 38, 325-339.
8. Dow, J., Werlang, S., 1994. Nash equilibrium under Knightian uncertainty: Breaking down backward induction. Journal of Economic Theory 64, 305-324.
9. Eichberger, J., Kelsey, D., 2000. Non-additive beliefs and strategic equilibria. Games and Economic Behavior 30, 183-215.
10. Ellsberg, D., 1961. Risk, ambiguity, and the Savage axioms. Quarterly Journal of Economics 75, 643-669.
11. Epstein, L.G., 1997. Preference, rationalizability and equilibrium. Journal of Economic Theory 73, 1-29.
12. Epstein, L.G., Le Breton, M., 1993. Dynamically consistent beliefs must be Bayesian. Journal of Economic Theory 61, 1-22.
13. Fudenberg, D., Tirole, J., 1991. Game Theory. MIT Press, Cambridge, MA.
14. Ghirardato, P., 2001. Coping with ignorance: Unforeseen contingencies and non-additive uncertainty. Economic Theory 17, 247-276.
15. Ghirardato, P., Le Breton, M., 2000. Choquet rationality. Journal of Economic Theory 90, 277-285.
16. Gilboa, I., Schmeidler, D., 1989. Maxmin expected utility with non-unique prior. Journal of Mathematical Economics 18, 141-153.
17. Gilboa, I., Schmeidler, D., 1993. Updating ambiguous beliefs. Journal of Economic Theory 59, 33-49.
18. Gilboa, I., Schmeidler, D., 1994. Additive representations of non-additive measures and the Choquet integral. Annals of Operations Research 52, 43-65.
19. Groes, E., Jacobsen, H.J., Sloth, B., Tranæs, T., 1998. Nash equilibrium with lower probabilities. Theory and Decision 44, 37-66.
20. Huber, P.J., 1981. Robust Statistics. John Wiley, New York.
21. Jaffray, J.,Wakker, P., 1994. Decision making with belief functions: Compatibility and incompatibility with the sure-thing principle. Journal of Risk and Uncertainty 8, 255-271.
22. Knight, F., 1921. Risk, Uncertainty and Profit. Houghton Mifflin, Boston.
23. Klibanoff, P., 1993. Uncertainty, Decision, and Normal Form Games. Manuscript, MIT.
24. Lo, K.C., 1996. Equilibrium in beliefs under uncertainty. Journal of Economic Theory 71, 443-484.
25. Lo, K.C., 1999a. Extensive form games with uncertainty averse players. Games and Economic Behavior 28, 256-270.
26. Lo, K.C., 1999b. Nash equilibrium without mutual knowledge of rationality. Economic Theory 14, 621-633.
27. Lo, K.C., 2000. Epistemic conditions for agreement and stochastic independence of ε-contaminated beliefs. Mathematical Social Sciences 39, 207-234.
28. Machina, M., Schmeidler, D., 1992. A more robust definition of subjective probability. Econometrica 60, 745-780.
29. Marinacci, M., 2000. Ambiguous games. Games and Economic Behavior 31, 191-219.
30. Mukerji, S., 1995. A theory of play for games in strategic form when rationality is not common knowledge. Discussion Papers in Economics and Econometrics, No. 9519. University of Southampton.
31. Mukerji, S., 1997. Understanding the non-additive probability decision model. Economic Theory 9, 23-46.
32. Nash, J., 1951. Non-cooperative games. Annals of Mathematics 54, 286-295.
33. Pearce, D., 1984. Rationalizable strategic behavior and the problem of perfection. Econometrica 52, 1029-1050.
34. Savage, L., 1954. The Foundations of Statistics. John Wiley, New York.
35. Schmeidler, D., 1989. Subjective probability and expected utility without additivity. Econometrica 57, 571-581.
36. Shafer, G., 1976. A Mathematical Theory of Evidence. Princeton University Press, Princeton, NJ.
37. Wasserman, L., 1990. Prior envelopes based on belief functions. Annals of Statistics 18, 454-464.