Partitionable choice functions and stability

IF 0.5 4区经济学 Q4 ECONOMICS

Social Choice and Welfare Pub Date : 2024-07-09 DOI:10.1007/s00355-024-01534-1

Umut Dur, Thayer Morrill, William Phan

引用次数: 0

Abstract

We consider the two-sided many-to-one matching problem and introduce a class of preferences reflecting natural forms of complementarities. For example, academic departments hire seniors and then supporting juniors, teams recruit different roles and specialties, starting with the critical ones, and firms hire workers at various levels, starting with the executives. The key feature is that a firm can partition workers into types and prioritize certain types before others. Despite this partitionability requirement of choice functions being weaker than substitutes—an essential condition concerning the existence of a stable assignment—we show that it still guarantees the existence of a stable assignment and is further a maximal domain for such.

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可分割选择函数和稳定性

我们考虑的是双面多对一匹配问题，并引入了一类反映自然互补形式的偏好。举例来说，学术部门会先聘高年级学生，然后再聘低年级学生；团队会招聘不同的角色和专业人员，先从关键角色开始；公司会招聘不同级别的员工，先从高管开始。其主要特点是，企业可以将工人划分为不同类型，并优先考虑某些类型的工人。尽管选择函数的这种可分割性要求弱于替代性--这是稳定分配存在的一个基本条件，但我们证明它仍然保证了稳定分配的存在，而且是稳定分配的最大域。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Social Choice and Welfare Multiple-

CiteScore

1.60

自引率

11.10%

发文量

期刊介绍： Social Choice and Welfare explores all aspects, both normative and positive, of welfare economics, collective choice, and strategic interaction. Topics include but are not limited to: preference aggregation, welfare criteria, fairness, justice and equity, rights, inequality and poverty measurement, voting and elections, political games, coalition formation, public goods, mechanism design, networks, matching, optimal taxation, cost-benefit analysis, computational social choice, judgement aggregation, market design, behavioral welfare economics, subjective well-being studies and experimental investigations related to social choice and voting. As such, the journal is inter-disciplinary and cuts across the boundaries of economics, political science, philosophy, and mathematics. Articles on choice and order theory that include results that can be applied to the above topics are also included in the journal. While it emphasizes theory, the journal also publishes empirical work in the subject area reflecting cross-fertilizing between theoretical and empirical research. Readers will find original research articles, surveys, and book reviews.Officially cited as: Soc Choice Welf