{"title":"A characterization of pairwise dictatorial approbatory social welfare functions","authors":"Gustavo Santos-García, José Carlos R. Alcantud","doi":"10.1016/j.econlet.2025.112217","DOIUrl":null,"url":null,"abstract":"<div><div>This paper defines approbatory social welfare functions. They are the natural counterpart of Arrovian social welfare functions when the expression of preferences is accompanied by a common choice of “approved” alternatives in a consistent manner. First, we count the number of consistent preference-approval profiles (the domain of approbatory social welfare functions). Then we show that pairwise dictatorial behaviors are characterized by unanimity and independence of irrelevant alternatives, a replication of Arrow’s characterization of dictatorships for this restricted version of the preference-approval model defined by Brams and Sanver in 2009.</div></div>","PeriodicalId":11468,"journal":{"name":"Economics Letters","volume":"248 ","pages":"Article 112217"},"PeriodicalIF":2.1000,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Economics Letters","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165176525000540","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ECONOMICS","Score":null,"Total":0}
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Abstract
This paper defines approbatory social welfare functions. They are the natural counterpart of Arrovian social welfare functions when the expression of preferences is accompanied by a common choice of “approved” alternatives in a consistent manner. First, we count the number of consistent preference-approval profiles (the domain of approbatory social welfare functions). Then we show that pairwise dictatorial behaviors are characterized by unanimity and independence of irrelevant alternatives, a replication of Arrow’s characterization of dictatorships for this restricted version of the preference-approval model defined by Brams and Sanver in 2009.
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