Christian Klamler 的 "选择函数的距离测量"[《社会选择与福利》30 (2008) 419-425]：更正

IF 0.5 4区经济学 Q4 ECONOMICS

Social Choice and Welfare Pub Date : 2024-03-14 DOI:10.1007/s00355-023-01497-9

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引用次数: 0

摘要

克拉姆勒（Soc Choice Welf 30:419-425，2008）指出，对称差分运算在 X 上的广泛选择族上诱导了一个度量，这个度量由 A1-A5 五条公理表征。我们提供了克拉姆勒结果的反例，建议对公理 A4 和 A5 稍作修改以获得正确的描述，最后指出公理 A4 是多余的。

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Christian Klamler’s ”A distance measure for choice functions” [Social Choice and Welfare 30 (2008) 419–425]: a correction

Abstract

An extensive choice over X is a function assigning to any subset S of X a possibly empty subset of S. Klamler (Soc Choice Welf 30:419–425, 2008) shows that the operation of symmetric difference induces a metric on the family of extensive choices over X, and this metric is characterized by five axioms A1–A5. We provide counterexamples to Klamler’s result, suggest a slight modification of axioms A4 and A5 to obtain a correct characterization, and finally observe that axiom A4 is redundant.

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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