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Social Choice without the Pareto Principle under Weak Independence

Author

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  • Ceyhun Coban

    (Department of Economics,Washington University in St. Louis)

  • Remzi Sanver

    (Murat Sertel Center for Advanced Economic Studies, Istanbul Bilgi University)

Abstract

We show that the class of social welfare functions that satisfy a weak independence condition identiÖed by Campbell (1976) and Baigent (1987) is fairly rich and freed of a power concentration on a single individual. This positive result prevails when a weak Pareto condition is imposed. Hence, we can overcome the impossibility of Arrow (1951) by simultaneously weakening the independence and Pareto conditions. Moreover, under weak independence, an impossibility of the Wilson (1972) type vanishes.

Suggested Citation

  • Ceyhun Coban & Remzi Sanver, 2009. "Social Choice without the Pareto Principle under Weak Independence," Working Papers 201005, Murat Sertel Center for Advanced Economic Studies, Istanbul Bilgi University.
  • Handle: RePEc:msc:wpaper:201005
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    References listed on IDEAS

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    1. Campbell, Donald E. & Kelly, Jerry S., 2000. "Weak independence and veto power," Economics Letters, Elsevier, vol. 66(2), pages 183-189, February.
    2. Josep E. Peris & BegoÓa Subiza, 1999. "Condorcet choice correspondences for weak tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 217-231.
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    Cited by:

    1. Wesley H. Holliday & Mikayla Kelley, 2020. "A note on Murakami’s theorems and incomplete social choice without the Pareto principle," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(2), pages 243-253, August.
    2. Susumu Cato, 2016. "Weak independence and the Pareto principle," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 295-314, August.
    3. Cato, Susumu, 2015. "Weak independent decisiveness and the existence of a unique vetoer," Economics Letters, Elsevier, vol. 131(C), pages 59-61.

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