Agreement and stochastic independence of belief functions

Mathematical social sciences

Volumn 51, Issue 1, 2006, Pages 1-22

  Lo, Kin Chung ^a  

^a YORK UNIVERSITY   (Canada)

Author keywords

Common knowledge; Knightian uncertainty; Multiple priors; Nash equilibrium; Non additive probabilities

Indexed keywords

EID: 29744464638     PISSN: 01654896     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mathsocsci.2005.07.001     Document Type: Article

References (29)

1. R.J. Aumann Agreeing to disagree Annals of Statistics 4 1976 1236-1239
2. R.J. Aumann A. Brandenburger Epistemic conditions for Nash equilibrium Econometrica 63 1995 1161-1180
3. C. Camerer M. Weber Recent developments in modelling preference: uncertainty and ambiguity Journal of Risk and Uncertainty 5 1992 325-370
4. A. Dempster Upper and lower probabilities induced from a multivalued mapping Annals of Mathematical Statistics 38 1967 325-339
5. J. Eichberger D. Kelsey E-capacities and the Ellsberg paradox Theory and Decision 46 1999 107-140
6. J. Eichberger D. Kelsey Non-additive beliefs and strategic equilibria Games and Economic Behavior 30 2000 183-215
7. D. Ellsberg Risk, ambiguity, and the Savage axioms Quarterly Journal of Economics 75 1961 643-669
8. P. Ghirardato On independence for non-additive measures, with a Fubini theorem Journal of Economic Theory 73 1997 261-291
9. P. Ghirardato Coping with ignorance: Unforeseen contingencies and non-additive uncertainty Economic Theory 17 2001 247-276
10. P. Ghirardato M. Le Breton Choquet rationality Journal of Economic Theory 90 2000 277-285
11. I. Gilboa D. Schmeidler Maxmin expected utility with non-unique prior Journal of Mathematical Economics 18 1989 141-153
12. I. Gilboa D. Schmeidler Additive representations of non-additive measures and the Choquet integral Annals of Operation Research 52 1994 43-65
13. E. Groes H.J. Jacobsen B. Sloth T. Tranæs Nash equilibrium with lower probabilities Theory and Decision 44 1998 37-66
14. E. Hendon H.J. Jacobsen B. Sloth T. Tranæs The product of capacities and belief functions Mathematical Social Sciences 32 1996 95-108
15. P.J. Huber Robust Statistics 1981 John Wiley New York
16. J. Jaffray P. Wakker Decision making with belief functions: compatibility and incompatibility with the sure-thing principle Journal of Risk and Uncertainty 8 1994 255-271
17. Kajii, A., Kojima, H., Ui, T., 2005. Cominimum additive operators. Manuscript, Kyoto University.
18. Klibanoff, P., 1996. Uncertainty, decision, and normal form games. Manuscript, Northwestern University.
19. K.C. Lo Equilibrium in beliefs under uncertainty Journal of Economic Theory 71 1996 443-484
20. K.C. Lo Epistemic conditions for agreement and stochastic independence of ε-contaminated beliefs Mathematical Social Sciences 39 2000 207-234
21. K.C. Lo Correlated equilibrium under uncertainty Mathematical Social Sciences 44 2002 183-209
22. M. Machina D. Schmeidler A more robust definition of subjective probability Econometrica 60 1992 745-780
23. S. Mukerji Understanding the non-additive probability decision model Economic Theory 9 1997 23-46
24. J. Nash Non-cooperative games Annals of Mathematics 54 1951 286-295
25. L. Savage The Foundations of Statistics 1954 John Wiley New York
26. D. Schmeidler Subjective probability and expected utility without additivity Econometrica 57 1989 571-581
27. G. Shafer A Mathematical Theory of Evidence 1976 Princeton University Press Princeton, NJ
28. G. Shafer Perspectives on the theory and practice of belief functions International Journal of Approximate Reasoning 4 1990 323-362
29. L. Wasserman Prior envelopes based on belief functions Annals of Statistics 18 1990 454-464