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