A unified characterization of the randomized strategy-proof rules

• 成果类型: Article
• 署名作者: Roy, Souvik; Sadhukhan, Soumyarup
• 署名单位: Indian Statistical Institute; Indian Statistical Institute Kolkata
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2020.105131
• 发表日期: 2021
• 关键词: Betweenness property; Generalized intermediate domains; Random social choice functions; strategy-proofness; Tops-restricted random min-max rules

摘要

We show that a large class of restricted domains such as single-peaked, single-crossing, single-dipped, tree-single-peaked with top-set along a path, Euclidean, multi-peaked, intermediate (Grandmont (1978)), etc., can be characterized by using betweenness property, and we present a unified characterization of unanimous and strategy-proof random rules on these domains. As corollaries of our result, we show that all the domains we consider in this paper satisfy tops-onlyness and deterministic extreme point property. Finally, we consider weak preferences and provide a class of unanimous and strategy-proof random rules on those domains. (c) 2020 Elsevier Inc. All rights reserved.