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Consider an election where N seats are distributed among parties with proportions p_1,...,p_m of the votes. We study, for the common divisor and quota methods, the asymptotic distribution, and in particular the mean, of the seat excess of a…

Probability · Mathematics 2011-10-31 Svante Janson

We characterise multi-candidate pure-strategy equilibria in the Hotelling-Downs spatial election model for the class of best-worst voting rules, in which each voter is endowed with both a positive and a negative vote, i.e., each voter can…

Computer Science and Game Theory · Computer Science 2016-10-11 Dodge Cahan , Arkadii Slinko

Understanding the complex nature of spatial information is crucial for problem solving in social and environmental sciences. This study investigates how the underlying patterns of spatial data can significantly influence the outcomes of…

Physics and Society · Physics 2024-09-17 Peng Luo , Yongze Song , Wenwen Li , Liqiu Meng

In this article, we study the effect of vector-valued interventions in votes under a binary voter model, where each voter expresses their vote as a $0-1$ valued random variable to choose between two candidates. We assume that the outcome is…

Applications · Statistics 2022-10-17 Manit Paul , Rishideep Roy , Soudeep Deb

Our main contribution is the introduction of the map of elections framework. A map of elections consists of three main elements: (1) a dataset of elections (i.e., collections of ordinal votes over given sets of candidates), (2) a way of…

Multiagent Systems · Computer Science 2024-07-17 Stanisław Szufa

The computational study of elections generally assumes that the preferences of the electorate come in as a list of votes. Depending on the context, it may be much more natural to represent the list succinctly, as the distinct votes of the…

Computer Science and Game Theory · Computer Science 2021-06-25 Zack Fitzsimmons , Edith Hemaspaandra

In this paper, we consider the voter model with popularity bias. The influence of each node on its neighbors depends on its degree. We find the consensus probabilities and expected consensus times for each of the states. We also find the…

Physics and Society · Physics 2014-06-30 Babak Fotouhi , Michael G. Rabbat

In Hotelling's model of spatial competition, a unit mass of voters is distributed in the interval $[0,1]$ (with their location corresponding to their political persuasion), and each of $m$ candidates selects as a strategy his distinct…

Computer Science and Game Theory · Computer Science 2024-05-09 Umang Bhaskar , Soumyajit Pyne

The outcome of an election depends not only on which candidate is more popular, but also on how many of their voters actually turn out to vote. Here we consider a simple model in which voters abstain from voting if they think their vote…

Physics and Society · Physics 2021-12-01 Ekaterina Landgren , Jonas L. Juul , Steven H. Strogatz

Many democratic political parties hold primary elections, which nicely reflects their democratic nature and promote, among other things, the democratic value of inclusiveness. However, the methods currently used for holding such primary…

Multiagent Systems · Computer Science 2022-01-20 Ariel Rosenfeld , Ehud Shapiro , Nimrod Talmon

Switching from one electoral system to another one is frequently criticized by the opposition and is viewed as a means for the ruling party to stay in power. In particular, when the new electoral system is a parallel voting (or a…

Physics and Society · Physics 2020-02-18 Igor Mandric , Igor Roşca , Radu Buzatu

Different voters behave differently, different governments make different decisions, or different organizations are ruled differently. Many research questions important to political scientists concern choice behavior, which involves dealing…

Methodology · Statistics 2020-11-06 Gerhard Tutz , Ingrid Mauerer

This work analyses surprising elections, and attempts to quantify the notion of surprise in elections. A voter is surprised if their estimate of the winner (assumed to be based on a combination of the preferences of their social connections…

Social and Information Networks · Computer Science 2018-11-26 Sagar Massand , Swaprava Nath

Granular geographic data present new opportunities to understand how neighborhoods are formed, and how they influence politics. At the same time, the inherent subjectivity of neighborhoods creates methodological challenges in measuring and…

Applications · Statistics 2024-11-20 Cory McCartan , Jacob R. Brown , Kosuke Imai

The study of how social media affects the formation of public opinion and its influence on political results has been a popular field of inquiry. However, current approaches frequently offer a limited comprehension of the complex political…

Social and Information Networks · Computer Science 2024-05-14 Pratik Gujral , Kshitij Awaldhi , Navya Jain , Bhavuk Bhandula , Abhijnan Chakraborty

Motivated by the problem of partisan gerrymandering, we introduce an electoral system for a representative democracy called democratic cellular voting, designed to make modern packing and cracking strategies irrelevant by allowing districts…

Physics and Society · Physics 2018-01-09 Lucius T. Schoenbaum

Defying the median voter theorem, party polarization has spread globally, especially in the United States. As concerns grow over its risks to democracy, political science has probed its causes, revealing two paradoxes: while polarization…

Physics and Society · Physics 2025-05-29 Roberto Venegeroles

In the months leading up to political elections in the United States, forecasts are widespread and take on multiple forms, including projections of what party will win the popular vote, state ratings, and predictions of vote margins at the…

This paper introduces a definition of ideological polarization of an electorate around a particular central point. By being flexible about the location or width of the center, this measure enables the researcher to analyze polarization…

General Economics · Economics 2025-07-11 Boris Ginzburg

A model of the opinion dynamics underlying the political decision is proposed. The analysis is restricted to a bipolar scheme with a possible third political area. The interaction among voters is local but the final decision strongly…

Physics and Society · Physics 2007-05-23 Filippo Caruso , Paolo Castorina
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