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Extended Pareto rules and relative utilitarianism

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  • Amrita Dhillon

    (Department of Economics, University of Warwick, Coventry CV4 7AL, UK)

Abstract

This paper introduces the "Extended Pareto" axiom on Social Welfare Functions and gives a characterization of the axiom when it is assumed that the Social Welfare Functions that satisfy it in a framework of preferences over lotteries also satisfy the restrictions (on the domain and range of preferences) implied by the von-Neumann Morgenstern axioms. With the addition of 2 other axioms: "Anonymity" and a weak version of Arrow's Independence of Irrelevant Alternatives axiom: "Weak IIA" it is shown that there is a unique Social Welfare Function called "Relative Utilitarianism" that consists of normalising individual utilities between 0 and 1 and adding them.

Suggested Citation

  • Amrita Dhillon, 1998. "Extended Pareto rules and relative utilitarianism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(4), pages 521-542.
  • Handle: RePEc:spr:sochwe:v:15:y:1998:i:4:p:521-542 Note: Received: 7 June 1994 / Accepted: 28 April 1997
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    References listed on IDEAS

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    1. Brown, Donald J & Lewis, Lucinda M, 1981. "Myopic Economic Agents," Econometrica, Econometric Society, pages 359-368.
    2. Fleurbaey, Marc & Michel, Philippe, 2003. "Intertemporal equity and the extension of the Ramsey criterion," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 777-802, September.
    3. Fleurbaey, Marc & Michel, Philippe, 2001. "Transfer principles and inequality aversion, with an application to optimal growth," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 1-11, July.
    4. Luc Lauwers, 1997. "Continuity and equity with infinite horizons," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(2), pages 345-356.
    5. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-1256, July.
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    Citations

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    Cited by:

    1. d'Aspremont, Claude & Gevers, Louis, 2002. "Social welfare functionals and interpersonal comparability," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 10, pages 459-541 Elsevier.
    2. Lloyd S. Shapley & Manel Baucells, 1998. "Multiperson Utility," UCLA Economics Working Papers 779, UCLA Department of Economics.
    3. d’ASPREMONT, Claude, "undated". "Formal welfarism and intergenerational equity," CORE Discussion Papers RP 2047, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Yves Sprumont, 2013. "On relative egalitarianism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1015-1032, April.
    5. SPRUMONT, Yves, 2009. "Relative Egalitarianism and Related Criteria," Cahiers de recherche 2009-02, Universite de Montreal, Departement de sciences economiques.
    6. Pivato, Marcus, 2014. "Formal utilitarianism and range voting," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 50-56.
    7. repec:spr:sochwe:v:48:y:2017:i:4:d:10.1007_s00355-017-1037-9 is not listed on IDEAS
    8. Pivato, Marcus, 2013. "Variable-population voting rules," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 210-221.
    9. Marcus Pivato, 2009. "Twofold optimality of the relative utilitarian bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(1), pages 79-92, January.
    10. Tilman Börgers & Yan-Min Choo, 2017. "Revealed Relative Utilitarianism," CESifo Working Paper Series 6613, CESifo Group Munich.
    11. Pivato, Marcus, 2013. "Statistical utilitarianism," MPRA Paper 49561, University Library of Munich, Germany.
    12. Pivato, Marcus, 2007. "A non-monetary form of Clarke pivotal voting," MPRA Paper 3964, University Library of Munich, Germany.
    13. Baucells, Manel & Shapley, Lloyd S., 2008. "Multiperson utility," Games and Economic Behavior, Elsevier, vol. 62(2), pages 329-347, March.
    14. Marcus Pivato, 2016. "Asymptotic utilitarianism in scoring rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 431-458, August.
    15. SPRUMONT, Yves, 2017. "Relative Nash welfarism," Cahiers de recherche 2017-03, Universite de Montreal, Departement de sciences economiques.
    16. Pivato, Marcus, 2006. "Approximate implementation of Relative Utilitarianism via Groves-Clarke pivotal voting with virtual money," MPRA Paper 627, University Library of Munich, Germany.

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