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In parliamentary elections, parties compete for a limited, typically fixed number of seats. Most parliaments are assembled using apportionment methods that distribute the seats based on the parties' vote counts. Common apportionment methods…

Proportional representation plays a crucial role in electoral systems. In ordinal elections, where voters rank candidates based on their preferences, the Single Transferable Vote (STV) is the most widely used proportional voting method. STV…

计算机科学与博弈论 · 计算机科学 2025-05-02 Tuva Bardal , Markus Brill , David McCune , Jannik Peters

Criteria for a good voting system have been given particularly careful scrutiny in recent years, with general agreement that the core values are fair results, voter power and choice, and local representation. This paper reexamines the basic…

物理与社会 · 物理学 2023-03-29 Denis Mollison

We define several different thresholds for election methods by considering different scenarios, corresponding to different proportionality criteria that have been proposed by various authors. In particular, we reformulate the criteria known…

计算机科学与博弈论 · 计算机科学 2018-10-16 Svante Janson

We study multiwinner elections with approval-based preferences. An instance of a multiwinner election consists of a set of alternatives, a population of voters---each voter approves a subset of alternatives, and the desired committee size…

计算机科学与博弈论 · 计算机科学 2019-10-15 Piotr Skowron

The paper considers a general model of electoral systems combining district-based elections with a compensatory mechanism in order to create any outcome between strictly majoritarian and purely proportional seat allocation. It contains vote…

计算机科学与博弈论 · 计算机科学 2017-10-27 László Csató

We consider three algorithms for allocating parliamentary seats by proportional representation. The usual approach to describing such algorithms is to compute a quota of votes that each party uses to "acquire'' representatives. This kind of…

数据结构与算法 · 计算机科学 2023-11-07 Raul Rojas

We present an alternative voting system that aims at bridging the gap between proportional representative systems and majoritarian, single winner election systems. The system lets people vote for multiple parties, but then assigns each…

计算机科学与博弈论 · 计算机科学 2016-12-01 Pietro Speroni di Fenizio , Daniele A. Gewurz

The proportional veto principle, which captures the idea that a candidate vetoed by a large group of voters should not be chosen, has been studied for ranked ballots in single-winner voting. We introduce a version of this principle for…

计算机科学与博弈论 · 计算机科学 2025-05-05 Daniel Halpern , Ariel D. Procaccia , Warut Suksompong

The single transferable vote (STV) is a system of preferential proportional voting employed in multi-seat elections. Each ballot cast by a voter is a (potentially partial) ranking over a set of candidates. The margin of victory, or simply…

计算机科学与博弈论 · 计算机科学 2025-03-26 Michelle Blom , Alexander Ek , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

American democracy is currently heavily reliant on plurality in single-member districts, or PSMD, as a system of election. But public perceptions of fairness are often keyed to partisan proportionality, or the degree of congruence between…

计算机与社会 · 计算机科学 2023-08-23 Moon Duchin , Gabe Schoenbach

We describe an electoral system for distributing seats in a parliament. It gives proportionality for the political parties and close to proportionality for constituencies. The system suggested here is a version of the system used in Sweden…

最优化与控制 · 数学 2013-10-31 Svante Linusson , Gustav Ryd

We study a model of temporal voting where there is a fixed time horizon, and at each round the voters report their preferences over the available candidates and a single candidate is selected. Prior work has adapted popular notions of…

计算机科学与博弈论 · 计算机科学 2025-02-11 Edith Elkind , Svetlana Obraztsova , Jannik Peters , Nicholas Teh

The paper builds a general model of vote transfer systems on the basis of the current Hungarian electoral rules. It combines single-seat districts and list mandates with three possible compensation rule for 'wasted' votes in constituencies:…

计算机科学与博弈论 · 计算机科学 2017-10-27 László Csató

Despite extensive theoretical research on proportionality in approval-based multiwinner voting, its impact on which committees and candidates can be selected in practice remains poorly understood. We address this gap by (i) analyzing the…

计算机科学与博弈论 · 计算机科学 2025-11-13 Niclas Boehmer , Lara Glessen , Jannik Peters

Election data represent a precious source of information to study human behavior at a large scale. In proportional elections with open lists, the number of votes received by a candidate, rescaled by the average performance of all…

物理与社会 · 物理学 2013-01-25 Arnab Chatterjee , Marija Mitrović , Santo Fortunato

The metric distortion framework posits that n voters and m candidates are jointly embedded in a metric space such that voters rank candidates that are closer to them higher. A voting rule's purpose is to pick a candidate with minimum total…

计算机科学与博弈论 · 计算机科学 2023-07-03 Fatih Erdem Kizilkaya , David Kempe

Proportional representation (PR) is often discussed in voting settings as a major desideratum. For the past century or so, it is common both in practice and in the academic literature to jump to single transferable vote (STV) as the…

计算机科学与博弈论 · 计算机科学 2018-06-05 Haris Aziz , Barton Lee

Many democratic societies use district-based elections, where the region under consideration is geographically divided into districts and a representative is chosen for each district based on the preferences of the electors who reside…

计算机与社会 · 计算机科学 2022-03-09 Adway Mitra

We consider elections where the voters come one at a time, in a streaming fashion, and devise space-efficient algorithms which identify an approximate winning committee with respect to common multiwinner proportional representation voting…

计算机科学与博弈论 · 计算机科学 2017-03-01 Palash Dey , Nimrod Talmon , Otniel van Handel
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