MoL-2023-15: Multiwinner Voting with Priority Candidates

MoL-2023-15: Huising, Philemon L. (2023) Multiwinner Voting with Priority Candidates. [Report]

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Abstract

This thesis is dedicated to the axiomatic study of multiwinner voting where certain kinds of candidates are to receive preferential treatment. We introduce a priority model for multiwinner voting, which extends the standard model by distinguishing between priority and non-priority candidates and incorporates a quota specifying the minimum number of priority candidates to be elected. Suitable rules are obtained by adapting rules from the standard setting by reserving seats for priority candidates, where reserved seats may be filled first, last, or at the latest possible moment this must be done in order to guarantee that the quota is met. These rules are studied axiomatically. We consider the standard axioms of anonymity and neutrality, as well as axioms designed to guarantee that priority candidates are not adversely affected. Furthermore, we focus on two kinds of elections, excellence-based elections, in which the highest-quality candidates are to be elected, and those elections in which proportional representation is important. In the excellence-based setting we show that there is a trade-off between the level of preferential treatment given and the quality of the elected committee. In the context of proportional representation we identify one particularly suitable rule, the adaptation of Phragmén’s Sequential Rule that restricts attention to priority candidates at the latest possible moment.

Item Type:	Report
Report Nr:	MoL-2023-15
Series Name:	Master of Logic Thesis (MoL) Series
Year:	2023
Subjects:	Logic Philosophy
Depositing User:	Dr Marco Vervoort
Date Deposited:	14 Aug 2023 12:43
Last Modified:	14 Aug 2023 12:43
URI:	https://eprints.illc.uva.nl/id/eprint/2264

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