On reaching social consent

IF 0.7 4区 经济学 Q3 ECONOMICS Journal of Mathematical Economics Pub Date : 2024-02-01 Epub Date: 2023-12-20 DOI:10.1016/j.jmateco.2023.102934
Wonki Jo Cho , Juan D. Moreno-Ternero
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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.

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关于达成社会共识
我们通过一个群体认同模型来探讨达成社会共识的过程,在这个模型中,我们试图相对评估代理人对谁属于某个群体的看法。在这种情况下,我们主要关注两个新公理,即可分性和个体单调性。在二分设置中,我们证明了这两个公理与对称性相结合,是同意规则家族的特征。我们还证明,只要代理人的数量超过了可能取值的数量,这一结果就可以推广到决策可以取任意有限个值(因此,不一定是二分法)的情况。在最一般的情况下,成员资格的决定可以是连续集内的任何值,我们证明了同样的三个公理描述了一个更丰富的家族,我们称之为广义同意规则。广义同意规则将同意规则的基本精神扩展到一般模型中,同时保持对相对评价问题的关注。
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来源期刊
Journal of Mathematical Economics
Journal of Mathematical Economics 管理科学-数学跨学科应用
CiteScore
1.70
自引率
7.70%
发文量
73
审稿时长
12.5 weeks
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.
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