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Slaters's winners of a tournament may not be in the Banks set

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Abstract

An exemple is given of a tournament in which none of the Kemeny-Slater's winners of the tournament belong to the Banks set.

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References

  • Banks JS (1985) Sophisticated voting outcomes and agenda control. Soc Choice Welfare 4: 295–306

    Google Scholar 

  • Banks JS, Bordes G, LeBreton M (1990) Covering relations, closest orderings and hamiltonian bypaths in tournaments. GREQE

  • Dutta B (1988) Covering sets and a new condorcet choice correspondence. J Econ Theory 44: 63–80

    Google Scholar 

  • Dutta B (1990) On the tournament equilibrium set. Soc Choice Welfare 7: 381–383

    Google Scholar 

  • Kemeny J (1959) Mathematics without numbers. Daedalus 88: 571–591

    Google Scholar 

  • Moon JW (1968) Topics on tournaments. Holt, Rinehart and Winston, New York

    Google Scholar 

  • Moulin H (1986) Choosing from a tournament. Soc Choice Welfare 3: 271–291

    Google Scholar 

  • Schwartz T (1990) Cyclic tournaments and cooperative majority voting: a solution. Soc Choice Welfare 7: 19–29

    Google Scholar 

  • Slater P (1961) Inconsistencies in a shedule of paired comparisons. Biometrica 48: 303–312

    Google Scholar 

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Authors and Affiliations

  1. Laboratoire d'Econométrie, Conservatoire National des Arts et Métiers, 2, rue Conté, F-75003, Paris, France

    Gilbert Laffond & Jean-François Laslier

Authors
  1. Gilbert Laffond
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  2. Jean-François Laslier
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Additional information

The authors thanks Michel LeBreton, who provided the initial stimulus for this investigation, and an anonymous referee for helpfull comments.

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Laffond, G., Laslier, JF. Slaters's winners of a tournament may not be in the Banks set. Soc Choice Welfare 8, 365–369 (1991). https://doi.org/10.1007/BF00183047

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  • DOI: https://doi.org/10.1007/BF00183047

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