Consistent bayesian aggregation

Journal of Economic Theory

Volumn 66, Issue 2, 1995, Pages 313-351

  Mongin, Philippe ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000163486     PISSN: 00220531     EISSN: 10957235     Source Type: Journal    
DOI: 10.1006/jeth.1995.1044     Document Type: Article

References (47)

1. F. G. Anscombe and R. J. Aumann, A definition of subjective probability, Ann. Math. Statist. 34 (1963), 199-205.
2. K. J. Arrow, “Essays in The Theory of Risk-Bearing, ” North Holland, Amsterdam, 1970.
3. E. D. Bolker, Functions resembling quotients of measures, Trans. Amer. Math. Soc. 124 (1966), 292-312.
4. J. Broome. Utilitarianism and expected utility, J. Philos. 84 (1987), 405-422.
5. J. Broome, Bolker-Jeflrey expected utility theory and axiomatic utilitarianism. Rev. Econ. Stud. 57 (1990), 477-502.
6. J. Broome, “Weighing Goods, ” Basic Blackwell, Oxford, 1991.
7. T. Coulhon and P. Mongin, Social choice theory in the case of von Neumann- Morgenstern utilities, Soc. Choice Welfare 6 (1989), 175-187.
8. B. De Finetti, La prévision: ses lois logiques. ses sources subjectives, Ann. Inst. H. Poincaré 7 (1937), 1-68.
9. B. De Meyer and P. Mongin, A note on affine aggregation, Econ. Lett. 47 (1995), 177-183.
10. Z. Domotor, Ordered sum and tensor product of linear utility structures, Theory Decis. 11 (1979), 375-399.
11. J. Dréze, L’utilité sociale d'une vie humaine, Ren. Franç. Rech. Opér. 22 (1962), 139-155.
12. J. Dréze. “Essays on Economic Decisions under Uncertainty, ” Cambridge Univ. Press, Cambridge, 1987.
13. R. Dudley, “Real Analysis and Probability.” Wadsworth and Brooks, Pacific Grove, CA, 1989.
14. P. C. Fishburn, “Utility Theory for Decision Making, ” Wiley, New York, 1970.
15. P.O. Fishburn, On Harsanyi’s utilitarian cardinal welfare theorem, Theory Decis. 17 (1970), 21-28.
16. C. Genest and J. V. Zidek, Combining probability distributions: A critique and an annotated bibliography, Statist. Sci. 1 (1986), 114-148.
17. F. Gul, Savage’s theorem with a finite number of states, J. Econ. Theory 57 (1992), 99-110.
18. P. J. Hammond, Ex ante and ex post welfare optimality under uncertainty. Economica 48 (1981), 235-250.
19. P. J. Hammond, Utilitarianism, uncertainty and information, in “Utilitarianism and Beyond” (A. Sen and B. Williams, Eds.), Cambridge Univ. Press, Cambridge, 1982.
20. P. J. Hammond, Ex-post optimality as a dynamically consistent objective for collective choice under uncertainty, in “Social Choice and Welfare” (P. K. Pattanaik and M. Salles, Eds.), North-Holland, Amsterdam, 1983.
21. J. C. Harsanyi, Cardinal welfare, individualistic ethics, and interpersonal comparisons of utility, J. Polit. Econ. 63 (1955), 309-321.
22. J. C. Harsanyi, Nonlinear social welfare functions: Do welfare economists have a special exemption from Bayesian rationality?, Theory Decis. 6 (1975), 311-332.
23. A. Hylland and R. Zeckhauser, The impossibility of Bayesian group decision making with separate aggregation of beliefs and values, Econometrica 47 (1979), 1321-1336.
24. J. Y. Jaffray, Cours de Theorie de la Decision, mimeo, Universite de Paris VI, Paris, 1980.
25. R. Jeffrey, “The Logic of Decision, ” Chicago Univ. Press, Chicago, 1983 (1st ed., 1965).
26. E. Kalai and D. Schmeidler, Aggregation procedure for cardinal preferences: A formulation and proof of Samuelson’s impossibility conjecture, Econometrica 45 (1977), 431-438.
27. E. Karni, Subjective probabilities and utility with event-dependent preferences, J. Risk Uncertainty 5 (1992), 107-125.
28. E. Karni, Subjective expected utility theory with state-dependent preferences, J. Econ. Theory 60 (1993), 428-438.
29. E. Karni, D. Schmeidler, and K. Vind, On state-dependent preferences and subjective probabilities, Econometrica 51 (1983), 1021-1031.
30. J. Lindenstrauss, A short proof of Lyapunov’s theorem, J. Math. Mech. 15 (1966), 971-972.
31. A. Lyapunov (Lyapounoff), Sur les fonctions-vecteurs completement additives, Bull. Acad. Sci. U.R.S.S. Sér. Math. 4 (1940), 465-478.
32. J. F. Mertens, Extensions of games, purification of strategies, and Lyapunov’s theorem, in “Economic Decision-Making: Games, Econometrics and Optimisation" (J. J. Gabszewicz, J. F. Richard, and L. A. Wolsey, Eds.), Elsevier, Amsterdam, 1990.
33. P. Mongin, Harsanyi’s aggregation theorem: Multi-profile version and unsettled questions, Soc. Choice Welfare 11 (1994), 75-106.
34. H. Nikaido, “Introduction to Sets and Mappings in Modern Economics, ” North- Holland, Amsterdam, 1970.
35. F. P. Ramsey, Truth and probability, in “The Foundations of Mathematics and Other Logical Essays, " Routledge and Kegan, London, 1931.
36. A. Rubinstein, The single profile analogues to multi profile theorems: Mathematical logic’s approach. Int. Econ. Rev. 25 (1984), 719-730.
37. L. J. Savage, “The Foundations of Statistics, ” Wiley, New York, 1972 (1st edition 1954).
38. T. Seidenfeld, J. B. Kadane, and M.J. Schervish, On the shared preferences of two Bayesian decision makers, J. Philos. 86 (1989), 225-244.
39. M. J. Schervish, T. Seidenfeld, and J. B. Kadane, Shared preferences and state- dependent utilities. Manage. Sci. 37 (1991), 1575-1589.
40. A. Sen, Social choice theory, in “Handbook of Mathematical Economics” (K. J. Arrow and M, D. Intrilligator, Eds.) Vol. 3, Chap. 22, North-Holland, Amsterdam, 1986.
41. M. Stone, The opinion pool, Am. Math. Statist. 32 (1961), 1339-1342.
42. C. Villegas, On qualitative probability cr-algebras, Ann. Math. Statist. 35 (1964), 1787-1796.
43. P. Wakker, “Additive Representations of Preferences, ” Kluwer, Dordrecht, 1989.
44. P. Wakker, Clarification of some mathematical misunderstandings about Savage's foundations of statistics, 1954, Math. Soc. Sci. 25 (1993), 199-202.
45. J. A. Weymark, A reconsideration of the Harsanyi-Sen debate on utilitarianism, in “Interpersonal Comparisons of Well-Being” (J. Elster and J. Roemer, Eds.), Cambridge Univ. Press, Cambridge, 1991.
46. J. A. Weymark, Harsanyi’s social aggregation theorem and the weak Pareto principle, Soc. Choice Welfare 10 (1993), 209-221.
47. J. A. Weymark, Further remarks on Harsanyi’s social aggregation theorem and the weak Pareto principle, Soc. Choice Welfare 12 (1995), 87-92.