The product of capacities and belief functions

Mathematical social sciences

Volumn 32, Issue 2, 1996, Pages 95-108

  Hendon, Ebbe ^a   Jacobsen, Hans Jørgen ^a   Sloth, Birgitte ^a   Tranæs, Torben ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

Belief functions; Capacities; Lower probabilities; Non additive measures; Product measure; Uncertainty

Indexed keywords

EID: 0030268553     PISSN: 01654896     EISSN: None     Source Type: Journal    
DOI: 10.1016/0165-4896(96)00813-X     Document Type: Article

References (16)

1. A. Dempster, Upper and lower probabilities induced by a multivalued mapping, Ann. Math. Stat. 38 (1967) 325-339.
2. J. Dow and C. Werlang, Nash equilibrium under Knightian uncertainty: Breaking down backward induction, J. Econ. Theory 64 (1994) 305-324.
3. P. Ghirardato, On independence for non-additive probabilities, with a Fubini theorem, Unpublished paper, University of California at Berkeley (1995).
4. I. Gilboa and D. Schmeidler, Maxmin expected utility with non-unique prior, J. Math. Econ. (1989) 65-88.
5. E. Groes, H.J. Jacobsen, B. Sloth and T. Tranæs, Nash equilibrium in lower probabilities, Theory and Decision (1996), in press.
6. E. Hendon, H.J. Jacobsen, B. Sloth and T. Tranæs, Some notes on the Choquet integral, Unpublished paper, University of Copenhagen (1993).
7. E. Hendon, H.J. Jacobsen, B. Sloth and T. Tranæs, Expected utility with lower probabilities, J. Risk Uncertainty 8 (1994) 197-216.
8. J.-Y. Jaffray, Linear utility theory for belief functions, Oper. Res. Lett. 8 (1989) 107-112.
9. P. Klibanoff, Uncertainty, decision, and normal form games, Unpublished paper, MIT (1993).
10. K.C. Lo, Equilibrium in beliefs under uncertainty, Unpublished paper, University of Toronto (1995).
11. D. Schmeidler, Cores of exact games I, J. Math. Anal. Appl. 40 (1972) 214-225.
12. D. Schmeidler, Subjective probability and expected utility without additivity, Econometrica 57 (1989) 571-587.
13. G. Shafer, A Mathematical Theory of Evidence (Princeton University Press, Princeton, 1976).
14. L.S. Shapley, A value for n-person games, Ann. Math. Study 28 (1953) 307-317.
15. L.S. Shapley, Cores of convex games, Int. J. Game Theory 1 (1971) 12-26.
16. P. Walley, and T. L. Fine, Towards a frequentist theory of upper and lower probability, Ann. Stat. 10 (1982) 741-761.