Variable-population extensions of social aggregation theorems

Social Choice and Welfare

Volumn 28, Issue 4, 2007, Pages 567-589

  Blackorby, Charles ^a   Bossert, Walter ^b   Donaldson, David ^c  

^a Centre National de la Recherche Scientifique   (France)

^b Canada H3A 2T7   (Canada)

^c UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34247631787     PISSN: 01761714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00355-006-0188-x     Document Type: Article

References (33)

1. Aczél J (1966) Lectures on functional equations and their applications. Academic, New York
2. Arrow K (1972) Exposition of the theory of choice under uncertainty. In: McGuire C, Radner R (eds) Decision and Organization. North-Holland, Amsterdam pp.19-55
3. Blackorby C, Bossert W, Donaldson D (1995) Intertemporal population ethics: critical-level utilitarian principles. Econometrica 63:1303-1.320
4. Blackorby C, Bossert W, Donaldson D (1996) Intertemporally consistent population ethics: classical utilitarian principles. In: Arrow K, Sen A, Suzumura K (eds) Social choice re-examined, vol. 2. Macmillan, London, pp. 137-162
5. Blackorby C, Bossert W, Donaldson D (1997) Critical-level utilitarianism and the population-ethics dilemma. Econ Philos 13:197-230
6. Blackorby C, Bossert W, Donaldson D (2002a) Population principles with number-dependent critical levels. J Pub Econ Theory 4:347-368
7. Blackorby C, Bossert W, Donaldson D (2002b) Utilitarianism and the theory of justice. In: Arrow K, Sen A, Suzumura K (eds) Handbook of social choice and welfare, Elsevier, Amsterdam, pp. 543-596
8. Blackorby C, Bossert W, Donaldson D (2003a) The axiomatic approach to population ethics. Polit Philos Econ 2:342-381
9. Blackorby C, Bossert W, Donaldson D (2003b) Harsanyi's social aggregation theorem: a multi-profile approach with variable-population extensions. Discussion Paper 03-2003, CI-REQ, Université de Montréal Blackorby C, Bossert W, Donaldson D (2005) Population issues in social choice theory, welfare economics, and ethics. Cambridge University Press, New York
10. Blackorby C, Bossert W, Donaldson D (2006a) Anonymous single-profile welfarism. Soc Choice Welfa (forthcoming)
11. Blackorby C, Donaldson D (1984) Social criteria for evaluating population change. J Pub Econ 25: 13-33
12. Blackorby C, Donaldson D, Weymark J (1999) Harsanyi's social aggregation theorem for state-contingent alternatives. J Math Econ 32:365-387
13. Blackorby C, Donaldson D, Weymark J (2006b) Social aggregation and the expected utility hypothesis. In: Salles M, Weymark J (eds) Justice, political liberalism, and utilitarianism: themes from Harsanyi and Rawls. Cambridge University Press, Cambridge (forthcoming)
14. Border K (1981) Notes on von Neumann - Morgenstern social welfare functions. California Institute of Technology, Division of the Humanities and Social Sciences (unpublished manuscript) Broome J (1990) Bolker-Jeffrey expected utility theory and axiomatic utilitarianism. Rev Econ Stud 57:477-502
15. Broome J (1991) Weighing goods. Basil Blackwell, Oxford Broome J (1993) Goodness is reducible to betterness: the evil of death is the value of life. In: Koslowski P (ed) The good and the economical: ethical choices in economics and management. Springer, Berlin, pp.69-83
16. Broome J (2004) Weighing lives. Oxford University Press, Oxford Coulhon T, Mongin P (1989) Social choice theory in the case of von Neumann - Morgenstern utilities. Soc Choice Welf 6:175-187
17. De Meyer B, Mongin P (1995) A note on affine aggregation. Econ Lett 47:177-183
18. Domotor Z (1979) Ordered sum and tensor product of linear utility structures. Theory Decis 11:375-399
19. Fishburn P (1984) On Harsanyi's utilitarian cardinal welfare theorem. Theory Decis 17:21-28
20. Griffin J (1986) Well-being: its meaning, measurement, and moral importance. Clarendon, Oxford Hammond P (1981) Ex-ante and ex-post welfare optimality under uncertainty. Economica 48:235-250 Hammond P (1983) Ex-post optimality as a dynamically consistent objective for collective choice under uncertainty. In: Pattanaik P, Salles M (eds) Social choice and welfare. North-Holland, Amsterdam, pp. 175-205
21. Harsanyi J (1.955) Cardinal welfare, individualistic ethics, and interpersonal comparisons of utility. J Polit Econ 63:309-321
22. Harsanyi J (1977) Rational behavior and bargaining equilibrium in games and social situations. Cambridge University Press, Cambridge
23. Heyd D (1992) Genethics: moral issues in the creation of people. University of California Press, Berkeley
24. Mongin P (1994) Harsanyi's aggregation theorem: multi-profile version and unsettled questions. Soc Choice Weif 11:331-354
25. Mongin P (1995) Consistent Bayesian aggregation. J Econ Theory 66:313-351
26. Mongin P (1998) The paradox of the Bayesian experts and state-dependent utility theory. J Math Econ 29:331-361
27. Mongin P, d'Aspremont C (1998) Utility theory in ethics. In: Barberà S, Hammond P, Seidl C (eds) Handbook of utility theory, vol. 1: Principles. Kluwer, Dordrecht, pp.371-481
28. Parfit D (1984) Reasons and persons. Oxford University Press, Oxford Sumner L (1996) Welfare, happiness, and ethics. Clarendon, Oxford, von Neumann J, Morgenstern O (1944) (second ed. 1947), Theory of games and economic behavior. Princeton University Press, Princeton
29. Weymark J (1991) A reconsideration of the Harsanyi-Sen debate on utilitarianism. In: Elster J, Roemer J (eds) Interpersonal comparisons of well-being. Cambridge University Press, Cambridge, pp.255-320
30. Weymark J (1993) Harsanyi's social aggregation theorem and the weak Pareto principle. Soc Choice Welf 10:209-222
31. Weymark J (1994) Harsanyi's social aggregation theorem with alternative Pareto principles. In: Eichhorn W (ed) Models and measurement of welfare and inequality, Springer, Berlin Heidelberg New York, pp.869-887
32. Weymark J (1995) Further remarks on Harsanyi's social aggregation theorem and the weak Pareto principle. Soc Choice Welf 12:87-92
33. Zhou L (1997) Harsanyi's utilitarianism theorems: general societies. J Econ Theory 72:198-207