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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 consider a coupled Polya's urn scheme for social dynamics on networks. Agents hold continuum-valued opinions on a two-state issue and randomly converse with their neighbors on a graph, agreeing on one of the two states. The probability…

概率论 · 数学 2023-07-04 Andrew Melchionna

On the basis of a formula for calculating seat shares and natural thresholds in multidistrict elections under the Jefferson-D'Hondt system and a probabilistic model of electoral behavior based on P\'{o}lya's urn model, we propose a new…

物理与社会 · 物理学 2019-09-27 Daria Boratyn , Jarosław Flis , Wojciech Słomczyński , Dariusz Stolicki

Since the 1970s there has been a large number of countries that combine formal democratic institutions with authoritarian practices. Although in such countries the ruling elites may receive considerable voter support they often employ…

应用统计 · 统计学 2016-04-27 Raúl Jiménez , Manuel Hidalgo , Peter Klimek

We introduce a voting model that is similar to a Keynesian beauty contest and analyze it from a mathematical point of view. There are two types of voters-copycat and independent-and two candidates. Our voting model is a binomial…

数据分析、统计与概率 · 物理学 2015-05-13 Masato Hisakado , Shintaro Mori

Human dynamics and sociophysics suggest statistical models that may explain and provide us with better insight into social phenomena. Here we propose a generative model based on a stochastic differential equation that allows us to analyse…

物理与社会 · 物理学 2018-05-17 Trevor Fenner , Mark Levene , George Loizou

Non-linear voter models assume that the opinion of an agent depends on the opinions of its neighbors in a non-linear manner. This allows for voting rules different from majority voting. While the linear voter model is known to reach…

物理与社会 · 物理学 2016-04-27 Frank Schweitzer , Laxmidhar Behera

How often will elections end in landslides? What is the probability for a head-to-head race? Analyzing ballot results from several large countries rather anomalous and yet unexplained distributions have been observed. We identify tactical…

物理与社会 · 物理学 2010-09-17 Nuno A. M. Araújo , José S. Andrade , Hans J. Herrmann

We present a new model that describes the process of electing a group of representatives (e.g., a parliament) for a group of voters. In this model, called the voting committee model, the elected group of representatives runs a number of…

多智能体系统 · 计算机科学 2016-11-22 Piotr Skowron

The Hotelling-Downs model considers parties changing policy to maximise their vote-share. Where policy position lies on a left-right axis, it describes a tendency for political parties to move towards centrist platforms. This is in contrast…

物理与社会 · 物理学 2026-05-12 Christopher Campbell , Graeme J. Ackland

There are many factors that can influence the outcome of an election. We here identify two dominant effects that can affect the votes obtained by a candidate, namely, the Majority Effect and the Media Effect. We mimic these two effects in a…

物理与社会 · 物理学 2009-11-10 Chung-I Chou , Sai-Ping Li

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

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

The voter model is a paradigm of ordering dynamics. At each time step, a random node is selected and copies the state of one of its neighbors. Traditionally, this state has been considered as a binary variable. Here, we relax this…

统计力学 · 物理学 2015-06-05 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras

Nowadays, in societies threatened by atomization, selfishness, short-term thinking, and alienation from political life, there is a renewed debate about classical questions concerning the quality of democratic decision-making. In this work a…

统计力学 · 物理学 2009-11-07 S. G. Alves , N. M. Oliveira Neto , M. L. Martins

This study introduces a novel approach to simulating legislative processes using LLM-driven virtual agents, focusing on the U.S. Senate Intelligence Committee. We developed agents representing individual senators and placed them in…

人机交互 · 计算机科学 2024-06-28 Zachary R. Baker , Zarif L. Azher

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

Human dynamics and sociophysics suggest statistical models that may explain and provide us with better insight into social phenomena. Contextual and selection effects tend to produce extreme values in the tails of rank-ordered distributions…

物理与社会 · 物理学 2018-01-17 Trevor Fenner , Eric Kaufmann , Mark Levene , George Loizou

This paper presents an interesting experimental example of voter-model statistics in biology. In recent work on mouse tail-skin, where proliferating cells are confined to a two-dimensional layer, we showed that cells proliferate and…

生物物理 · 物理学 2009-11-13 Allon M. Klein , David P. Doupe , Philip H. Jones , Benjamin D. Simons

Two of the main factors shaping an individual's opinion are social coordination and personal preferences, or personal biases. To understand the role of those and that of the topology of the network of interactions, we study an extension of…

物理与社会 · 物理学 2023-06-07 Filippo Zimmaro , Pierluigi Contucci , János Kertész