最大孔多塞域:进一步的进展报告

Maximal Condorcet domains. A further progress report

Games and Economic Behavior · 2024
被引 5 · 同刊同年前 10%
人大 AABS 3

中文导读

综述了自Monjardet 2009年综述以来最大孔多塞域的最新进展,包括新结果、两个猜想以及四备选方案下所有最大域的分类。

Abstract

Condorcet domains are sets of preference orders such that the majority relation corresponding to any profile of preferences from the domain is acyclic. The best known examples in economics are the single-peaked, the single-crossing, and the group separable domains. We survey the latest developments in the area since Monjardet's magisterial overview (2009), provide some new results and offer two conjectures concerning unsolved problems. The main goal of the presentation is to illuminate the rich internal structure of the class of maximal Condorcet domains. In an appendix, we present the complete classification of all maximal Condorcet domains on four alternatives obtained by Dittrich (2018).

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