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For centuries, it has been widely believed that the influence of a small coalition of voters is negligible in a large election. Consequently, there is a large body of literature on characterizing the likelihood for an election to be…

理论经济学 · 经济学 2023-06-13 Lirong Xia

In many applications of cooperative game theory -- from corporate governance and cartel formation to parliamentary voting -- not all winning coalitions are feasible. Ideological distances, institutional constraints, or pre-electoral…

理论经济学 · 经济学 2026-03-31 Thomas Pitz , Vinicius Ferraz

In this contribution, we construct a connection between two quantum voting models presented previously. We propose to try to determine the result of a vote from associated given opinion polls. We introduce a density operator relative to the…

物理与社会 · 物理学 2024-11-22 François Dubois

We use simplicial complexes to model simple games as well as weighted voting games where certain coalitions are considered impossible. Topological characterizations of various ideas from simple games are provided, as are the expressions for…

物理与社会 · 物理学 2025-08-29 Anastasia Brooks , Franjo Sarcevic , Ismar Volic

We examine the determinants of the EU budget expenditures allocation among different countries. In line with earlier literature, we consider two alternative explanations for the EU budget distribution: political power vs. needs view.…

经济学 · 定量金融 2016-06-29 Vera Zaporozhets , María García-Valiñas , Sascha Kurz

The paper develops a theory of power for delegable proxy voting systems. We define a power index able to measure the influence of both voters and delegators. Using this index, which we characterize axiomatically, we extend an earlier…

计算机科学与博弈论 · 计算机科学 2020-10-15 Yuzhe Zhang , Davide Grossi

A political party can be considered as a company whose value depends on the voters support i.e. on the percentage of population supporting the party. Dynamics of the support is thus as a stochastic process with a deterministic growth rate…

偏微分方程分析 · 数学 2024-02-06 Darko Mitrovic

In this paper, we introduce a notion of mergeable weighted majority games with the aim of providing the first characterization of the Colomer-Mart\'inez power index (Colomer and Mart\'inez in J Theor Polit 7(1):41-63, 1995). Furthermore, we…

计算机科学与博弈论 · 计算机科学 2024-02-12 Livino M. Armijos-Toro , José M. Alonso-Meijide , Manuel A. Mosquera

A committee's decisions on more than two alternatives much depend on the adopted voting method, and so does the distribution of power among the committee members. We investigate how different aggregation methods such as plurality runoff,…

计算机科学与博弈论 · 计算机科学 2021-02-15 Sascha Kurz , Alexander Mayer , Stefan Napel

Voting power determines the "power" of individuals who cast votes; their power is based on their ability to influence the winning-ness of a coalition. Usually each individual acts alone, casting either all or none of their votes and is…

计算机科学与博弈论 · 计算机科学 2013-12-13 Daniel Zwillinger

We introduce new power indices to measure the a priori voting power of voters in liquid democracy elections where an underlying network restricts delegations. We argue that our power indices are natural extensions of the standard…

多智能体系统 · 计算机科学 2023-05-16 Rachael Colley , Théo Delemazure , Hugo Gilbert

In this contribution we analyze a parties' vote share distribution across the polling stations during the Lithuanian parliamentary elections of 1992, 2008 and 2012. We find that the distribution is rather well fitted by the Beta…

物理与社会 · 物理学 2017-12-01 A. Kononovicius

We study a prototypical model of a Parliament with two Parties or two Political Coalitions and we show how the introduction of a variable percentage of randomly selected independent legislators can increase the global efficiency of a…

物理与社会 · 物理学 2015-05-27 A. Pluchino , C. Garofalo , A. Rapisarda , S. Spagano , M. Caserta

This paper examines an area of Game Theory called Voting Power Theory. With the adoption of a measure theoretic framework it argues that the many different indices and tools currently used for measuring voting power can be replaced by just…

统计理论 · 数学 2012-01-24 Sreejith Das , Iead Rezek

Like many other voting systems, Majority Judgement suffers from the weaknesses of the underlying mathematical model: Elections as problem of choice or ranking. We show how the model can be enhanced to take into account the complete process…

计算机科学与博弈论 · 计算机科学 2023-07-07 Friedemann Kemm

Binary yes-no decisions in a legislative committee or a shareholder meeting are commonly modeled as a weighted game. However, there are noteworthy exceptions. E.g., the voting rules of the European Council according to the Treaty of Lisbon…

计算机科学与博弈论 · 计算机科学 2021-08-11 Sascha Kurz

Analysis of vote distributions using current tools from statistical physics is of increasing interest. While data considered for physics studies are subject to a careful understanding of error sources, such analysis are almost absent in…

物理与社会 · 物理学 2012-06-14 G. Báez , H. Hernández-Saldaña , R. A. Méndez-Sánchez

This paper studies power indices based on average representations of a weighted game. If restricted to account for the lack of power of dummy voters, average representations become coherent measures of voting power, with power distributions…

计算机科学与博弈论 · 计算机科学 2017-10-10 Serguei Kaniovski , Sascha Kurz

Several power indices have been introduced in the literature in order to measure the influence of individual committee members on the aggregated decision. Here we ask the inverse question and aim to design voting rules for a committee such…

计算机科学与博弈论 · 计算机科学 2016-01-22 Sascha Kurz

This paper combines two significant areas of political science research: measuring individual ideological position and cohesion. Although both approaches help analyze legislative behaviors, no unified model currently integrates these…

社会与信息网络 · 计算机科学 2025-01-22 Juan Reutter , Sergio Toro , Lucas Valenzuela , Daniel Alcatruz , Macarena Valenzuela