银行集与两党集可能不相交

The Banks set and the bipartisan set may be disjoint

Social Choice and Welfare · 2025
被引 0
人大 A-ABS 3

中文导读

构造了一个36阶锦标赛,其银行集与两党集可划分,表明银行集及其精炼(如最小扩展集和锦标赛均衡集)可能与两党集不相交,对理解锦标赛解的性质有理论意义。

Abstract

Abstract 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.

Banks setbipartisan setdisjointness