Consistent Linear Orders for Supermajority Rules

Yasunori Okumura

Papers from arXiv.org

Abstract: We consider linear orders of finite alternatives that are constructed by aggregating the preferences of individuals. We focus on a linear order that is consistent with the collective preference relation, which is constructed by one of the supermajority rules and modified using two procedures if there exist some cycles. One modification procedure uses the transitive closure, and the other uses the Suzumura consistent closure. We derive two sets of linear orders that are consistent with the (modified) collective preference relations formed by any of the supermajority rules and show that these sets are generally not empty. These sets of linear orders are closely related to those obtained through the ranked pairs method and the Schulze method. Finally, we show that any linear order included in either of the sets satisfies two properties: the extended Condorcet criterion and the Pareto principle.

Date: 2023-04, Revised 2025-01
New Economics Papers: this item is included in nep-dcm, nep-des and nep-mic
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Citations: View citations in EconPapers (2)

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