Additivity with multiple priors

Journal of Mathematical Economics

Volumn 30, Issue 4, 1998, Pages 405-420

  Ghirardato, Paolo ^a   Klibanoff, Peter ^b   Marinacci, Massimo ^c  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b NORTHWESTERN UNIVERSITY   (United States)

^c UNIVERSITY OF TORONTO   (Canada)

Author keywords

Additivity; D81; Expected utility functional; Priors; Probability measures

Indexed keywords

EID: 0003179657     PISSN: 03044068     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4068(97)00047-5     Document Type: Article

References (16)

1. Anscombe F.J., Aumann R.J. A definition of subjective probability. Ann. Math. Stat. 34:1963;199-205.
2. Bassanezi R.C., Greco G.H. Sull'additività dell'integrale. Rendiconti del Seminario di Matematica dell'Università di Padova. 72:1984;249-275.
3. Chateauneuf A. On the use of capacities in modelling uncertainty aversion and risk aversion. J. Math. Econ. 20:1991;343-369.
4. Dellacherie, Claude, 1970. Quelques commentaires sur les prolongements de capacités. Séminaire Probabilités V, Strasbourg, number 191. Lecture Notes in Mathematics. Springer-Verlag, Berlin.
5. Eichberger J., Kelsey D. Uncertainty aversion and preference for randomization. J. Econ. Theory. 71:1995;31-43.
6. Ellsberg D. Risk, ambiguity, and the Savage axioms. Q. J. Econ. 75:1961;643-669.
7. Fishburn, Peter C., 1970. Utility Theory for Decision Making. Wiley, New York.
8. Ghirardato P. On independence for non-additive measures, with a Fubini theorem. J. Econ. Theory. 73:1997;261-291.
9. Gilboa I., Schmeidler D. Maxmin expected utility with a non-unique prior. J. Math. Econ. 18:1988;141-153.
10. Hildebrandt T.H. On bounded linear functional operators. Trans. Am. Math. Soc. 36:1934;868-875.
11. Klibanoff, Peter, July 1996. Characterizing uncertainty aversion through preference for mixtures. CMS-EMS Discussion Paper 1159, Northwestern University.
12. Marinacci, Massimo, September, 1993. Finitely additive and epsilon Nash equilibria. Mimeo, Northwestern University (Forthcoming in International Journal of Game Theory).
13. Savage, Leonard J., 1954. The Foundations of Statistics. Wiley, New York.
14. Schmeidler D. Integral representation without additivity. Proc. Am. Math. Soc. 97:1986;255-261.
15. Schmeidler D. Subjective probability and expected utility without additivity. Econometrica. 57:1989;571-587.
16. Wakker P.P., Deneffe D. Eliciting von Neumann-Morgenstern utilitites when probabilities are distorted or unknown. Manage. Sci. 42:1996;1131-1150.