On social welfare functionals: Representation theorems and equivalence classes

作者: Vladimir L. Levin

DOI: 10.1016/J.MATHSOCSCI.2009.12.004

关键词:

摘要: Abstract We substantially weaken the traditional unrestricted domain assumption and give axiomatic characterizations of social welfare functionals representable by utility functions form W ( u ⋅ ) , where = 1 … n is a profile specifying concrete situation, real-valued function belonging to particular class. Also we consider general equivalence relations on space obtain representation theorems classes.

参考文章(16)
Michel Le Breton, John A. Weymark, Arrovian Social Choice Theory on Economic Domains Handbook of Social Choice and Welfare. ,vol. 2, pp. 191- 299 ,(2011) , 10.1016/S0169-7218(10)00017-1
Gerard Debreu, Gerard Debreu, Werner Hildenbrand, Mathematical Economics: Continuity properties of Paretian utility International Economic Review. ,vol. 5, pp. 163- 172 ,(1964) , 10.1017/CCOL052123736X.013
Vladimir L. Levin, New axiomatic characterizations of utilitarianism Mathematical Social Sciences. ,vol. 58, pp. 15- 24 ,(2009) , 10.1016/J.MATHSOCSCI.2009.02.002
Amartya Kumar Sen, Collective Choice and Social Welfare ,(1970)
Kevin W. S. Roberts, Social Choice Theory: The Single-profile and Multi-profile Approaches The Review of Economic Studies. ,vol. 47, pp. 441- 450 ,(1980) , 10.2307/2297003
Kevin W. S. Roberts, Interpersonal Comparability and Social Choice Theory The Review of Economic Studies. ,vol. 47, pp. 421- 439 ,(1980) , 10.2307/2297002
Claude D'Aspremont, Louis Gevers, Equity and the Informational Basis of Collective Choice The Review of Economic Studies. ,vol. 44, pp. 199- 209 ,(1977) , 10.2307/2297061
E. Maskin, A Theorem on Utilitarianism The Review of Economic Studies. ,vol. 45, pp. 93- 96 ,(1978) , 10.2307/2297086