Apportionment when seats are allocated in lots. The D’Hondt method case and political implications

IF 0.7 4区经济学 Q4 ECONOMICS

Mathematical Social Sciences Pub Date : 2025-12-01 Epub Date: 2025-11-10 DOI:10.1016/j.mathsocsci.2025.102474

Juan Carlos Gonçalves-Dosantos, Joaquín Sánchez-Soriano

引用次数: 0

Abstract

The apportionment problem involves determining how to distribute a given (non-negative) integer number among a group of individuals based on their respective sizes. In electoral systems with proportional representation, this problem arises in two situations: assigning seats to constituencies, if applicable, and distributing seats to political parties within each constituency. This paper addresses the scenario where seats are grouped into lots, extending the standard apportionment problem. We propose and analyze various apportionment methods based on the D’Hondt method for this new problem. Additionally, we examine the political implications of allocating seats not individually but in groups of varying sizes.

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座位按批次分配时的分配。D 'Hondt方法案例及其政治含义

分配问题涉及如何根据个体的大小在一组个体中分配给定的（非负）整数。在比例代表制的选举制度中，这一问题在两种情况下出现：如果适用，将席位分配给选区，以及将席位分配给每个选区内的政党。本文讨论了座位分组的情况，扩展了标准分配问题。针对这一新问题，提出并分析了基于D 'Hondt方法的各种分配方法。此外，我们还研究了分配席位的政治含义，不是单独的，而是在不同规模的群体中。

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.