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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.

Suggested Citation

  • Levin, Vladimir L., 2010. "On social welfare functionals: Representation theorems and equivalence classes," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 299-305, May.
    • Handle: RePEc:eee:matsoc:v:59:y:2010:i:3:p:299-305
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    References listed on IDEAS

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    1. Kevin W. S. Roberts, 1980. "Interpersonal Comparability and Social Choice Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(2), pages 421-439.
    2. 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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    8. Kevin W. S. Roberts, 1980. "Social Choice Theory: The Single-profile and Multi-profile Approaches," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(2), pages 441-450.
    9. Levin, Vladimir L., 2009. "New axiomatic characterizations of utilitarianism," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 15-24, July.
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