Subjective probability and expected utility without additivity

Uncertainty in Economic Theory: Essays in Honor of David Schmeidler's 65th Birthday

Volumn , Issue , 2004, Pages 108-124

  Schmeidler, David ^a,b  

^a TEL AVIV UNIVERSITY   (Israel)

^b OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84883926821     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.4324/9780203358061     Document Type: Chapter

References (19)

1. Anscombe, F. J. and R. J. Aumann (1963). "A Definition of Subjective Probability," The Annals of Mathematical Statistics, 34, 199-205.
2. Chew, Soo Hong (1984). "An Axiomatization of the Rank-dependent Quazilinear Mean Generalizing the Gini Mean and the Quazilinear Mean,' mimeo.
3. Choquet, G. (1955). "Theory of Capacities," Ann. Inst. Fourier (Grenoble), 5, 131-295.
4. Dunford, N. and J. T. Schwarz (1957). Linear Operators Part I. New York: Interscience.
5. Ellsberg, D. (1961). "Risk, Ambiguity and Savage Axioms," Quarterly Journal of Economics, 75, 643-669.
6. Feynman, R. P. et al. (ed.) (1963, 1965). The Feynman Lectures on Physics, Vol. I, Sections 37-4, 37-5, 37-6, and 37-7; Vol III, Chapter 1.
7. Fishburn, P. C. (1970). Utility Theory for Decision Making. New York: John Wiley & Sons.
8. Fishburn, P. C. (1985). "Uncertainty Aversion and Separated Effects in Decision Making Under Uncertainty,' mimeo.
9. Friedman, M. and L. J. Savage (1984). "The Utility Analysis of Choices Involving Risk,' Journal of Political Economy, 56, 279-304.
10. Gilboa, I. (1987). "Expected Utility with Purely Subjective Non-Additive Probabilities,' Journal of Mathematical Economics, 16, 65-88.
11. Gilboa, I. 1985). "Subjective Distortions of Probabilities and Non-Additive Probabilities,' Working Paper, The Foerder Institute for Economic Research, Tel Aviv University,.
12. von Neumann, J. and O. Morgenstern (1947). Theory of Games and Economic Behavior, 2nd ed. Princeton: Princeton University Press.
13. Quiggin, J. (1982). "A Theory of Anticipated Utility," Journal of Economic Behavior and Organization, 3, 323-343.
14. Savage, L. J. (1954). The Foundations of Statistics. New York (2nd ed. 1972): John Wiley& Sons; New York: Dover Publications.
15. Schmeidler, D. (1982). "Subjective Probability without Additivity" (Temporary Title), Working Paper, The Foerder Institute for Economic Research, Tel Aviv University.
16. Schmeidler, D. (1986). "Integral Representation with Additivity," Proceedings of the American Mathematical Society, 97, 253-261.
17. Segal, U. (1984). "Nonlinear Decision Weights with the Independence Axiom," UCLA Working Paper #353.
18. Wakker, P. O. (1986). "Representations of Choice Situations," Ph.D. Thesis, Tilburg, rewritten as Additive Representation of Preferences (1989). Norwell, MA: Kewer Academic Publishers (Ch. VI).
19. Yaari, M. E. (1987). "Dual Theory of Choice Under Uncertainty," Econometrica, 55, 95-115.