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Social Welfare Functions that Satisfy Pareto, Anonymity, and Neutrality, but not IIA

Author

Listed:
  • Donald E. Campbell

    (Department of Economics, College of William and Mary)

  • Jerry S. Kelly

    (Department of Economics, Syracuse University)

Abstract

In the presence of Pareto, non-dictatorship, full domain, and transitivity, an extremely weak independence condition disallows both anonymity and neutrality.

Suggested Citation

  • Donald E. Campbell & Jerry S. Kelly, 2006. "Social Welfare Functions that Satisfy Pareto, Anonymity, and Neutrality, but not IIA," Working Papers 38, Department of Economics, College of William and Mary.
    • Handle: RePEc:cwm:wpaper:38
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    File URL: http://economics.wm.edu/wp/cwm_wp38.pdf
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    References listed on IDEAS

    as
    1. Shmuel Nitzan & Ariel Rubinstein, 1981. "A further characterization of Borda ranking method," Public Choice, Springer, vol. 36(1), pages 153-158, January.
    2. Hansson, Bengt & Sahlquist, Henrik, 1976. "A proof technique for social choice with variable electorate," Journal of Economic Theory, Elsevier, vol. 13(2), pages 193-200, October.
    3. Mueller,Dennis C. (ed.), 1997. "Perspectives on Public Choice," Cambridge Books, Cambridge University Press, number 9780521553773.
    4. Peter C. Fishburn, 1969. "Preferences, Summation, and Social Welfare Functions," Management Science, INFORMS, vol. 16(3), pages 179-186, November.
    5. Coughlin, Peter, 1979. "A direct characterization of Black's first borda count," Economics Letters, Elsevier, vol. 4(2), pages 131-133.
    6. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
    7. Navin Aswal & Shurojit Chatterji & Arunava Sen, 2003. "Dictatorial domains," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(1), pages 45-62, August.
    8. Donald E. Campbell & Jerry S. Kelly, 2000. "Information and preference aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(1), pages 3-24.
    9. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
    10. Campbell, Donald E. & Kelly, Jerry S., 2002. "Impossibility theorems in the arrovian framework," 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 1, pages 35-94, Elsevier.
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    Citations

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    Cited by:

    1. Donald Campbell & Jerry Kelly, 2007. "Pareto, anonymity, and independence: four alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(1), pages 83-104, July.
    2. Donald E. Campbell & Jerry S. Kelly, 2006. "Social Welfare Functions that Satisfy Pareto, Anonymity, and Neutrality: Countable Many Alternatives," Working Papers 43, Department of Economics, College of William and Mary.

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    More about this item

    Keywords

    Pareto; anonymity; neutrality;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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