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Social choice without the Pareto principle under weak independence

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  • Ceyhun Coban
  • M. Sanver

Abstract

We show that the class of social welfare functions that satisfy a weak independence condition identified by Campbell (J Econ 12:259–272, 1976 ) and Baigent (J Econ 47(4):407–411, 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. Moreover, under weak independence, an impossibility of the Wilson (J Econ 5:478–486, 1972 ) type vanishes. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Ceyhun Coban & M. Sanver, 2014. "Social choice without the Pareto principle under weak independence," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 953-961, December.
    • Handle: RePEc:spr:sochwe:v:43:y:2014:i:4:p:953-961
    DOI: 10.1007/s00355-014-0812-0
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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. repec:bla:econom:v:38:y:1971:i:152:p:413-20 is not listed on IDEAS
    3. Salvador Barberà, 2003. "A Theorem on Preference Aggregation," Working Papers 166, Barcelona School of Economics.
    4. Partha Dasgupta & Eric Maskin, 2008. "On The Robustness of Majority Rule," Journal of the European Economic Association, MIT Press, vol. 6(5), pages 949-973, September.
    5. I. Good, 1971. "A note on condorcet sets," Public Choice, Springer, vol. 10(1), pages 97-101, March.
    6. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
    7. Deb, Rajat, 1977. "On Schwartz's rule," Journal of Economic Theory, Elsevier, vol. 16(1), pages 103-110, October.
    8. Vincenzo DenicolÔ, 1998. "Independent Decisiveness and the Arrow theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(4), pages 563-566.
    9. Campbell, Donald E., 1976. "Democratic preference functions," Journal of Economic Theory, Elsevier, vol. 12(2), pages 259-272, April.
    10. Donald Campbell & Jerry Kelly, 2007. "Social welfare functions that satisfy Pareto, anonymity, and neutrality, but not independence of irrelevant alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(1), pages 69-82, July.
    11. 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.
    12. Georges Bordes, 1976. "Consistency, Rationality and Collective Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(3), pages 451-457.
    13. Nick Baigent & Christian Klamler, 2003. "Transitive closure, proximity and intransitivities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(1), pages 175-181, December.
    14. Ugur Ozdemir & M. Sanver, 2007. "Dictatorial domains in preference aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 61-76, January.
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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.
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    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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