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Still more on the Tournament Equilibrium Set

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Abstract

Schwartz (Soc Choice Welfare 3:271–291, 1990) proposed a solution concept (the Tournament Equilibrium Set) for choosing from a tournament and stated some conjectures about this solution. Laffond et al. (Math Sci Hum 123:37–44, 1993) introduced further conjectures and showed the links between some of them. In this short note, we show that one of the conjectures stated by Schwartz (1990) is false. We also complete a result given in Laffond et al. (1993).

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References

  • Brandt F, Fischer F, Harrenstein P, Mair M (2008) A computational analysis of the tournament equilibrium set. Mimeo

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

    Article  Google Scholar 

  • Laffond G, Laslier J-F, LeBreton M (1993) More on the tournament equilibrium set. Math Sci Hum 123: 37–44

    Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

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Correspondence to Nicolas Houy.

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I gratefully thank J.-F. Laslier for his remarks and for introducing me to this topic.

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Houy, N. Still more on the Tournament Equilibrium Set. Soc Choice Welf 32, 93–99 (2009). https://doi.org/10.1007/s00355-008-0311-2

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  • DOI: https://doi.org/10.1007/s00355-008-0311-2

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