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<p>Tournament solutions play an important role within social choice theory and the mathematical social sciences at large. We construct a tournament of order 36 that can be partitioned into the Banks set and the bipartisan set. As a consequence, the Banks set, as well as its refinements, such as the minimal extending set and the tournament equilibrium set, can be disjoint from the bipartisan set.</p>

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The Banks set and the bipartisan set may be disjoint

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月2日

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  • Felix Brandt,
  • Florian Grundbacher

摘要

Tournament solutions play an important role within social choice theory and the mathematical social sciences at large. We construct a tournament of order 36 that can be partitioned into the Banks set and the bipartisan set. As a consequence, the Banks set, as well as its refinements, such as the minimal extending set and the tournament equilibrium set, can be disjoint from the bipartisan set.