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Social welfare orderings for ratio-scale measurable utilities

Author

Listed:
  • John A. Weymark

    (Department of Economics, 997-1873 East Mall, University of British Columbia, Vancouver, B.C., CANADA V6T 1Z1)

  • Kai-yuen Tsui

    (Department of Economics, Chinese University of Hong Kong, Shatin, N.T., HONG KONG)

Abstract

This article characterizes all of the continuous social welfare orderings which satisfy the Weak (resp. Strong) Pareto principle when utilities are ratio-scale measurable. With Weak Pareto, on both the nonnegative and positive orthants the social welfare ordering must be representable by a weakly increasing Cobb-Douglas social welfare function while on the whole Euclidean space the social welfare ordering must be strongly dictatorial. With Strong Pareto, on the positive orthant the social welfare ordering must be representable by a strictly increasing Cobb-Douglas social welfare function but on the other two domains an impossibility theorem is obtained.

Suggested Citation

  • John A. Weymark & Kai-yuen Tsui, 1997. "Social welfare orderings for ratio-scale measurable utilities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(2), pages 241-256.
    • Handle: RePEc:spr:joecth:v:10:y:1997:i:2:p:241-256
    Note: Received: July 31, 1995; revised version August 7, 1996
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    Cited by:

    1. Xu, Yongsheng & Yoshihara, Naoki, 2013. "Rationality and solutions to nonconvex bargaining problems: Rationalizability and Nash solutions," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 66-70.
    2. Yongsheng Xu & Naoki Yoshihara, 2020. "Nonconvex Bargaining Problems: Some Recent Developments," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 7-41, November.
    3. Peter J. Hammond, 2023. "Roberts’ weak welfarism theorem: a minor correction," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 121-134, January.
    4. Thibault Gajdos & John Weymark, 2005. "Multidimensional generalized Gini indices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 471-496, October.
    5. Hirofumi Yamamura, 2017. "Interpersonal comparison necessary for Arrovian aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(1), pages 37-64, June.
    6. Stergios Athanassoglou, 2015. "Multidimensional welfare rankings under weight imprecision: a social choice perspective," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(4), pages 719-744, April.
    7. Walter Bossert & Kohei Kamaga, 2020. "An axiomatization of the mixed utilitarian–maximin social welfare orderings," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 451-473, March.
    8. Maria Ana Lugo & Koen Decancq, 2009. "Measuring Inequality of Well-Being with a Correlation-Sensitive Multidimensional Gini Index," Economics Series Working Papers 459, University of Oxford, Department of Economics.
    9. MORENO-TERNERO, Juan & OSTERDAL, Lars P., 2014. "Normative foundations for equity-sensitive population health evaluation functions," LIDAM Discussion Papers CORE 2014031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Marco Mariotti & Roberto Veneziani, 2018. "Opportunities as Chances: Maximising the Probability that Everybody Succeeds," Economic Journal, Royal Economic Society, vol. 128(611), pages 1609-1633, June.
    11. Ebert, Udo & Welsch, Heinz, 2004. "Meaningful environmental indices: a social choice approach," Journal of Environmental Economics and Management, Elsevier, vol. 47(2), pages 270-283, March.
    12. Juan D. Moreno-Ternero & Lars Peter Østerdal, 2017. "A normative foundation for equity-sensitive health evaluation: The role of relative comparisons of health gains," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 19(5), pages 1009-1025, October.
    13. 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.
    14. Naumova, Natalia & Yanovskaya, Elena, 2001. "Nash social welfare orderings," Mathematical Social Sciences, Elsevier, vol. 42(3), pages 203-231, November.
    15. Horst Zank, 2007. "Social welfare functions with a reference income," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(4), pages 609-636, June.
    16. Jacob M. Nebel, 2023. "Strong dictatorship via ratio-scale measurable utilities: a simpler proof," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 101-106, April.
    17. Nicolas Ruiz, 2018. "Measuring The Joint Distribution Of Household’S Income, Consumption And Wealth Using Nested Generalized Mean," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 63(03), pages 759-785, June.
    18. Marley, A. A. J., 2002. "Random utility models and their applications: recent developments," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 289-302, July.

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