{"title":"On reaching social consent","authors":"Wonki Jo Cho , Juan D. Moreno-Ternero","doi":"10.1016/j.jmateco.2023.102934","DOIUrl":null,"url":null,"abstract":"<div><p>We explore the process of reaching social consent by means of a model of group identification, in which we seek to relatively evaluate agents’ opinions on who belongs to a given group. Our main concerns are captured by two new axioms in this setting, dubbed <em>separability</em> and <em>individual monotonicity</em>. In the dichotomous setting, we show that the two axioms, combined with <em>symmetry</em>, characterize the family of <em>consent rules</em>. We also show that the result generalizes to the setting in which decisions can take any finite number of values (thus, not necessarily dichotomous) provided that the number of agents exceeds the number of possible values. In the most general setting, where the membership decision can be any value within a continuum set, we show that the same three axioms characterize a much richer family that we call the <em>generalized consent rules</em>. The latter rules extend the spirit underlying the consent rules to the general model, while keeping the issue of relative evaluation in focus.</p></div>","PeriodicalId":50145,"journal":{"name":"Journal of Mathematical Economics","volume":"110 ","pages":"Article 102934"},"PeriodicalIF":0.7000,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0304406823001271/pdfft?md5=0a018c6857a7051350999ff582eafafa&pid=1-s2.0-S0304406823001271-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Economics","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0304406823001271","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2023/12/20 0:00:00","PubModel":"Epub","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
We explore the process of reaching social consent by means of a model of group identification, in which we seek to relatively evaluate agents’ opinions on who belongs to a given group. Our main concerns are captured by two new axioms in this setting, dubbed separability and individual monotonicity. In the dichotomous setting, we show that the two axioms, combined with symmetry, characterize the family of consent rules. We also show that the result generalizes to the setting in which decisions can take any finite number of values (thus, not necessarily dichotomous) provided that the number of agents exceeds the number of possible values. In the most general setting, where the membership decision can be any value within a continuum set, we show that the same three axioms characterize a much richer family that we call the generalized consent rules. The latter rules extend the spirit underlying the consent rules to the general model, while keeping the issue of relative evaluation in focus.
期刊介绍:
The primary objective of the Journal is to provide a forum for work in economic theory which expresses economic ideas using formal mathematical reasoning. For work to add to this primary objective, it is not sufficient that the mathematical reasoning be new and correct. The work must have real economic content. The economic ideas must be interesting and important. These ideas may pertain to any field of economics or any school of economic thought.