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We develop methods to evaluate whether a political districting accurately represents the will of the people. To explore and showcase our ideas, we concentrate on the congressional districts for the U.S. House of representatives and use the…

I study the conditions under which a democratic dynamics of a public debate drives a Minority-to-Majority transition. A landscape of the opinion dynamics is thus built using the Galam Majority Model (GMM) in a 3-dimensional parameter space…

Physics and Society · Physics 2025-02-27 Serge Galam

Scholars have long hypothesized that democratic forms of government are more compatible with scientific advancement. However, empirical analysis testing the democracy-science compatibility hypothesis remains underdeveloped. This article…

Digital Libraries · Computer Science 2021-09-01 Travis A. Whetsell , Koen Jonkers , Ana-Maria Dimand , Jeroen Baas , Caroline S. Wagner

Computational social choice and algorithmic decision theory offer rich aggregation theory but no comprehensive process for egalitarian self-governance: aggregation, deliberation, amendment, and consensus are each considered in isolation,…

Multiagent Systems · Computer Science 2026-05-15 Ehud Shapiro , Nimrod Talmon

Social networks are increasingly being used to conduct polls. We introduce a simple model of such social polling. We suppose agents vote sequentially, but the order in which agents choose to vote is not necessarily fixed. We also suppose…

Computer Science and Game Theory · Computer Science 2013-02-08 Serge Gaspers , Victor Naroditskiy , Nina Narodytska , Toby Walsh

This paper develops a sufficient-statistic formula for the unemployment gap -- the difference between the actual unemployment rate and the efficient unemployment rate. While lowering unemployment puts more people into work, it forces firms…

General Economics · Economics 2021-12-03 Pascal Michaillat , Emmanuel Saez

A country's research success can be assessed from the power law function that links country and world rank numbers when publications are ordered by their number of citations; a similar function describes the distribution of country papers…

Digital Libraries · Computer Science 2020-08-26 Ricardo Brito , Alonso Rodríguez-Navarro

We form a "map of tournaments" by adapting the map framework from the world of elections. By a tournament we mean a complete directed graph where the nodes are the players and an edge points from a winner of a game to the loser (with no…

Computer Science and Game Theory · Computer Science 2026-01-27 Filip Nikolow , Piotr Faliszewski , Stanisław Szufa

We introduce a non-partisan probability distribution on congressional redistricting of North Carolina which emphasizes the equal partition of the population and the compactness of districts. When random districts are drawn and the results…

Physics and Society · Physics 2014-11-03 Jonathan C. Mattingly , Christy Vaughn

Donald Trump was lagging behind in nearly all opinion polls leading up to the 2016 US presidential election, but he surprisingly won the election. This raises the following important questions: 1) why most opinion polls were not accurate in…

Information Theory · Computer Science 2019-01-01 Weiyu Xu , Lifeng Lai , Amin Khajehnejad

Scholars have increasingly investigated "crowdsourcing" as an alternative to expert-based judgment or purely data-driven approaches to predicting the future. Under certain conditions, scholars have found that crowdsourcing can outperform…

Physics and Society · Physics 2017-12-12 Daniel Martin Katz , Michael James Bommarito , Josh Blackman

May's Theorem (1952), a celebrated result in social choice, provides the foundation for majority rule. May's crucial assumption of symmetry, often thought of as a procedural equity requirement, is violated by many choice procedures that…

Theoretical Economics · Economics 2020-09-01 Laurent Bartholdi , Wade Hann-Caruthers , Maya Josyula , Omer Tamuz , Leeat Yariv

An important question in elections is the determine whether a candidate can be a winner when some votes are absent. We study this determining winner with the absent votes (WAV) problem when the votes are top-truncated. We show that the WAV…

Computer Science and Game Theory · Computer Science 2023-10-12 Qishen Han , Amélie Marian , Lirong Xia

Manipulation is a problem of fundamental importance in the context of voting in which the voters exercise their votes strategically instead of voting honestly to prevent selection of an alternative that is less preferred. The…

Multiagent Systems · Computer Science 2015-02-17 Palash Dey , Neeldhara Misra , Y. Narahari

We study computational problems for two popular parliamentary voting procedures: the amendment procedure and the successive procedure. While finding successful manipulations or agenda controls is tractable for both procedures, our…

Computer Science and Game Theory · Computer Science 2015-09-09 Robert Bredereck , Jiehua Chen , Rolf Niedermeier , Toby Walsh

Equal access to voting is a core feature of democratic government. Using data from millions of smartphone users, we quantify a racial disparity in voting wait times across a nationwide sample of polling places during the 2016 U.S.…

General Economics · Economics 2020-11-03 M. Keith Chen , Kareem Haggag , Devin G. Pope , Ryne Rohla

Finding outlying elements in probability distributions can be a hard problem. Taking a real example from Voting Rights Act enforcement, we consider the problem of maximizing the number of simultaneous majority-minority districts in a…

Physics and Society · Physics 2022-06-23 Sarah Cannon , Ari Goldbloom-Helzner , Varun Gupta , JN Matthews , Bhushan Suwal

The colloquial phrase "partisan bias" encompasses multiple distinct conceptions of bias, including partisan advantage, packing & cracking, and partisan symmetry. All are useful and have their place, and there are several proposed measures…

Physics and Society · Physics 2025-10-08 Alec Ramsay

As the world's democratic institutions are challenged by dissatisfied citizens, political scientists and also computer scientists have proposed and analyzed various (innovative) methods to select representative bodies, a crucial task in…

Multiagent Systems · Computer Science 2023-04-07 Manon Revel , Niclas Boehmer , Rachael Colley , Markus Brill , Piotr Faliszewski , Edith Elkind

We survey the design of elections that are resilient to attempted interference by third parties. For example, suppose votes have been cast in an election between two candidates, and then each vote is randomly changed with a small…

Probability · Mathematics 2021-07-13 Steven Heilman
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