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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.

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Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 15 (1998)
Issue (Month): 4 ()
Pages: 521-542

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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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Cited by:
  1. Pivato, Marcus, 2007. "A non-monetary form of Clarke pivotal voting," MPRA Paper 3964, University Library of Munich, Germany.
  2. Claude, d’ASPREMONT, 2005. "Formal welfarism and intergenerational equity," Discussion Papers (ECON - Département des Sciences Economiques) 2005051, Université catholique de Louvain, Département des Sciences Economiques.
  3. Pivato, Marcus, 2014. "Formal utilitarianism and range voting," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 50-56.
  4. Pivato, Marcus, 2006. "Approximate implementation of Relative Utilitarianism via Groves-Clarke pivotal voting with virtual money," MPRA Paper 627, University Library of Munich, Germany.
  5. D'ASPREMONT, Claude & GEVERS, Louis, . "Social welfare functionals and interpersonal comparability," CORE Discussion Papers RP -1564, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Yves SPRUMONT, 2009. "Relative Egalitarianism and Related Criteria," Cahiers de recherche 02-2009, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  7. Manel Baucells & Lloyd S. Shapley, 2000. "Multiperson Utility," Econometric Society World Congress 2000 Contributed Papers 0078, Econometric Society.
  8. Marcus Pivato, 2009. "Twofold optimality of the relative utilitarian bargaining solution," Social Choice and Welfare, Springer, vol. 32(1), pages 79-92, January.
  9. Pivato, Marcus, 2011. "Variable-population voting rules," MPRA Paper 31896, University Library of Munich, Germany.
  10. Yves Sprumont, 2013. "On relative egalitarianism," Social Choice and Welfare, Springer, vol. 40(4), pages 1015-1032, April.
  11. Pivato, Marcus, 2013. "Statistical utilitarianism," MPRA Paper 49561, University Library of Munich, Germany.

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