Implementing optimal scholarship assignments via backward induction

IF 0.5 4区经济学 Q4 ECONOMICS

Mathematical Social Sciences Pub Date : 2023-09-01 DOI:10.1016/j.mathsocsci.2023.06.001

Pablo Amorós

引用次数: 0

Abstract

A group of students who have applied for scholarships must be ranked. The committee responsible for determining this ranking consists of the students’ advisors. While impartial towards other students, the advisors are biased towards favoring their students. This paper examines the implementation of the deserving ranking via backward induction. Some of the best-known sequential mechanisms utilized in the real world are ineffective. We present two simple and natural sequential mechanisms that prove to be effective. The first mechanism is suitable for when there are precisely three students, and the second is for four or more students.

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通过逆向归纳法实现最佳奖学金分配

必须对申请奖学金的一群学生进行排名。负责确定这一排名的委员会由学生顾问组成。尽管顾问们对其他学生不偏不倚，但他们偏向于偏袒自己的学生。本文通过后向归纳法考察了实得排名的实施。现实世界中使用的一些最著名的顺序机制是无效的。我们提出了两个简单自然的顺序机制，证明是有效的。第一种机制适用于恰好有三名学生的情况，第二种机制适用于四名或四名以上的学生。

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

Mathematical Social Sciences 数学-数学跨学科应用

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

59 days

期刊介绍： The international, interdisciplinary journal Mathematical Social Sciences publishes original research articles, survey papers, short notes and book reviews. The journal emphasizes the unity of mathematical modelling in economics, psychology, political sciences, sociology and other social sciences. Topics of particular interest include the fundamental aspects of choice, information, and preferences (decision science) and of interaction (game theory and economic theory), the measurement of utility, welfare and inequality, the formal theories of justice and implementation, voting rules, cooperative games, fair division, cost allocation, bargaining, matching, social networks, and evolutionary and other dynamics models. Papers published by the journal are mathematically rigorous but no bounds, from above or from below, limits their technical level. All mathematical techniques may be used. The articles should be self-contained and readable by social scientists trained in mathematics.