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On collective utility functions admitting linear representations

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  • Levin, Vladimir L.

Abstract

Given n experts, a set X of alternative projects, and various classes of individual utility functions u1,...,un on X, we characterize collective utility functions (CUFs) of the form where [alpha]i are positive numbers.

Suggested Citation

  • Levin, Vladimir L., 2010. "On collective utility functions admitting linear representations," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 364-371, May.
  • Handle: RePEc:eee:mateco:v:46:y:2010:i:3:p:364-371
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    References listed on IDEAS

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    1. Kevin W. S. Roberts, 1980. "Interpersonal Comparability and Social Choice Theory," Review of Economic Studies, Oxford University Press, vol. 47(2), pages 421-439.
    2. Neuefeind, Wilhelm & Trockel, Walter, 1995. "Continuous Linear Representability of Binary Relations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 351-356, July.
    3. Claude D'Aspremont & Louis Gevers, 1977. "Equity and the Informational Basis of Collective Choice," Review of Economic Studies, Oxford University Press, vol. 44(2), pages 199-209.
    4. Gevers, Louis, 1979. "On Interpersonal Comparability and Social Welfare Orderings," Econometrica, Econometric Society, vol. 47(1), pages 75-89, January.
    5. Levin, Vladimir L., 2009. "New axiomatic characterizations of utilitarianism," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 15-24, July.
    6. Eric Maskin, 1978. "A Theorem on Utilitarianism," Review of Economic Studies, Oxford University Press, vol. 45(1), pages 93-96.
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