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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

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  • 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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    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.
    3. Georges Bordes, 1976. "Consistency, Rationality and Collective Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(3), pages 451-457.
    4. Deb, Rajat, 1977. "On Schwartz's rule," Journal of Economic Theory, Elsevier, vol. 16(1), pages 103-110, October.
    5. 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.
    6. Salvador Barberà, 2003. "A Theorem on Preference Aggregation," UFAE and IAE Working Papers 601.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    7. Blau, Julian H, 1971. "Arrow's Theorem with Weak Independence," Economica, London School of Economics and Political Science, vol. 38(152), pages 413-420, November.
    8. Campbell, Donald E., 1976. "Democratic preference functions," Journal of Economic Theory, Elsevier, vol. 12(2), pages 259-272, April.
    9. 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.
    10. I. Good, 1971. "A note on condorcet sets," Public Choice, Springer, vol. 10(1), pages 97-101, March.
    11. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
    12. 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.
    13. 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.
    14. 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.
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    Cited by:

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    2. Cato, Susumu, 2015. "Weak independent decisiveness and the existence of a unique vetoer," Economics Letters, Elsevier, vol. 131(C), pages 59-61.
    3. 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.

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