Understanding the nonadditive probability decision model

Economic Theory

Volumn 9, Issue 1, 1997, Pages 23-46

  Mukerji, Sujoy ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031288020     PISSN: 09382259     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf01213441     Document Type: Article

References (24)

1. 1. Bewley, T. F.: Knightian decision theory: Part I. Cowles Foundation Discussion Paper, No 807, 1986
2. 2. Binmore, K.: Essays on the foundation of game theory. Basil Blackwell, Oxford, 1990.
3. 3. Binmore, K.: DeBayesing game theory. In: Binmore, K., Kirman, A., Tani, P. (eds.) Frontiers of Game Theory, MIT Press, Cambridge, 1993
4. 4. Camerer, C., Weber, M.: Recent developments in modeling preferences: Uncertainty and ambiguity. Journal of Risk and Uncertainty 5, 325-370 (1992)
5. 5. Choquet, G.: Theory of capacities. Ann. Inst. Fourier (Grenoble) 5, 131-295 (1955)
6. 6. Dempster, A. P.: Upper and lower probabilities induced by a multivalued mapping. Annals of Mathematical Statistics 38, 325-339 (1967)
7. 7. Ellsberg, D.: Risk, ambiguity and savage axioms. Quarterly Journal of Economics 75, 643-669 (1961)
8. 8. Fishburn, P. C.: Utility theory for decision making. Wiley: New York, 1970
9. 9. Fishburn, P. C.: The axioms and algebra of ambiguity. Theory and Decision 34, 119-137 (1993)
10. 10. Ghirardato, P.: Coping with ignorance: Unforeseen contingencies and non-additive uncertainty. Mimeo, UC Berkeley, 1994
11. 11. Gilboa, I.: Expected utility with purely subjective non-additive probabilities. Journal of Mathematical Economics 16, 65-88 (1987)
12. 12. Gilboa, I., Schmeidler, D.: Maxmin expected utility with a non-unique prior. Journal of Mathematical Economics 18, 141-153 (1989)
13. 13. Gilboa, I., Schmeidler, D.: Updating ambiguous beliefs. Journal of Economic Theory 59, 33-49 (1993)
14. 14. Gilboa, I., Schmeidler, D.: Additive representations of nonadditive measures and the Choquet integral. Annals of Operations Research 51, 43-65 (1994)
15. 15. Kelsey, D., Quiggin, J.: Theories of choice under ignorance and uncertainty. Journal of Economic Surveys 6, 133-153 (1992)
16. 16. Kraft, C. H., Pratt, J. W., Seidenberg, A.: Intuitive probability on finite sets. Annals of Mathematical Statistics 30, 408-419 (1959)
17. 17. Lipman, B. L.: Decision theory without logical omniscience: Toward an axiomatic framework for bounded rationality. Mimeo, Queens University, 1995
18. 18. Savage, L. J.: The foundations of statistics. Dover, New York, 1954
19. 19. Schmeidler, D.: Subjective probability without additivity. Working Paper, The Foerder Institute for Economic Research, Tel Aviv University, 1982
20. 20. Schmeidler, D.: Subjective probability and expected utility without additivity. Econometrica 57, 571-587 (1989)
21. 21. Scott, D.: Measurement structures and linear inequalities. Journal of Mathematical Psychology 1, 233-247 (1964)
22. 22. Shafer, G.: A mathematical theory of evidence. Princeton University Press, Princeton, 1976
23. 23. Shin, H. S.: Logical structure of common knowledge. Journal of Economic Theory 60, 1-13 (1993)
24. 24. Wong, S., Yao, Y., Bollman, P., Burgher, H.: Axiomatization of qualitative belief structure. IEEE Transactions on Systems, Man and Cybernetics 21, 726-734 (1991)