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On social welfare functionals: Representation theorems and equivalence classes

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  • Levin, Vladimir L.

Abstract

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

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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 59 (2010)
Issue (Month): 3 (May)
Pages: 299-305

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Handle: RePEc:eee:matsoc:v:59:y:2010:i:3:p:299-305

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Web page: http://www.elsevier.com/locate/inca/505565

Related research

Keywords: Assembling and strong assembling Neutrality Strengthened acyclicity Translation invariance and positive translation invariance Pasting together Quasi Pareto and weak Pareto principles;

References

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  1. Georges Bordes & Peter J. Hammond & Michel Le Breton, 2005. "Social Welfare Functionals on Restricted Domains and in Economic Environments," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 7(1), pages 1-25, 02.
  2. d'Aspremont, Claude & Gevers, Louis, 1977. "Equity and the Informational Basis of Collective Choice," Review of Economic Studies, Wiley Blackwell, vol. 44(2), pages 199-209, June.
  3. Roberts, Kevin W S, 1980. "Interpersonal Comparability and Social Choice Theory," Review of Economic Studies, Wiley Blackwell, vol. 47(2), pages 421-39, January.
  4. Maskin, Eric, 1978. "A Theorem on Utilitarianism," Review of Economic Studies, Wiley Blackwell, vol. 45(1), pages 93-96, February.
  5. Levin, Vladimir L., 2009. "New axiomatic characterizations of utilitarianism," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 15-24, July.
  6. Gaertner,Wulf, 2006. "Domain Conditions in Social Choice Theory," Cambridge Books, Cambridge University Press, number 9780521028745, October.
  7. Sen, Amartya K, 1977. "On Weights and Measures: Informational Constraints in Social Welfare Analysis," Econometrica, Econometric Society, vol. 45(7), pages 1539-72, October.
  8. Levin, V. L., 1991. "Some applications of set-valued mappings in mathematical economics," Journal of Mathematical Economics, Elsevier, vol. 20(1), pages 69-87.
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