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On Ordered Weighted Averaging Social Optima

Author

Listed:
  • Giuseppe De Marco

    (University of Naples Parthenope
    University of Naples Federico II)

  • Jacqueline Morgan

    (University of Naples Federico II
    University of Naples Federico II)

Abstract

In this paper, we look at the classical problem of aggregating individual utilities and study social orderings which are based on the concept of Ordered Weighted Averaging Aggregation Operator. In these social orderings, called Ordered Weighted Averaging Social Welfare Functions, weights are assigned a priori to the positions in the social ranking and, for every possible alternative, the total welfare is calculated as a weighted sum in which the weight corresponding to the kth position multiplies the utility in the kth position. In the α-Ordered Weighted Averaging Social Welfare Function, the utility in the kth position is the kth smallest value assumed by the utility functions, whereas in the β-Ordered Weighted Averaging Social Welfare Function it is the utility of the kth poorest individual. We emphasize the differences between the two concepts, analyze the continuity issue, and provide results on the existence of maximum points.

Suggested Citation

  • Giuseppe De Marco & Jacqueline Morgan, 2014. "On Ordered Weighted Averaging Social Optima," Journal of Optimization Theory and Applications, Springer, vol. 160(2), pages 623-635, February.
    • Handle: RePEc:spr:joptap:v:160:y:2014:i:2:d:10.1007_s10957-013-0376-7
    DOI: 10.1007/s10957-013-0376-7
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    References listed on IDEAS

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    1. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    2. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    3. Jose M. Merigo Lindahl & Montserrat Casanovas Ramon, 2007. "Induced aggregation operators in decision making with the Dempster-Shafer belief structure," Working Papers in Economics 184, Universitat de Barcelona. Espai de Recerca en Economia.
    4. Rawls, John, 1974. "Some Reasons for the Maximin Criterion," American Economic Review, American Economic Association, vol. 64(2), pages 141-146, May.
    5. Chiclana, F. & Herrera-Viedma, E. & Herrera, F. & Alonso, S., 2007. "Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 182(1), pages 383-399, October.
    6. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
    7. Grabisch, Michel, 1996. "The application of fuzzy integrals in multicriteria decision making," European Journal of Operational Research, Elsevier, vol. 89(3), pages 445-456, March.
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