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The Banzhaf index, Shapley-Shubik index and other voting power indices measure the importance of a player in a coalitional game. We consider a simple coalitional game called the spanning connectivity game (SCG) based on an undirected,…

Computer Science and Game Theory · Computer Science 2009-06-22 Haris Aziz , Oded Lachish , Mike Paterson , Rahul Savani

We consider a committee voting on whether to adopt a reform under a quota rule, where members differ in how much they value the reform some supporting it, others opposing it. We examine how members can influence each other's votes through…

General Economics · Economics 2025-05-19 Ali Lazrak , Jianfeng Zhang

We consider the problem of manipulation of elections using positional voting rules under Impartial Culture voter behaviour. We consider both the logical possibility of coalitional manipulation, and the number of voters that must be…

Probability · Mathematics 2007-05-23 Geoffrey Pritchard , Mark C. Wilson

We introduce two models of multiwinner elections with approval preferences and labelled candidates that take the committee's diversity into account. One model aims to find a committee with maximal diversity given a scoring function (e.g. of…

Computer Science and Game Theory · Computer Science 2026-02-13 Paula Böhm , Robert Bredereck , Till Fluschnik

The estimation of voting blocs is an important statistical inquiry in political science. However, the scope of these analyses is usually restricted to roll call data where individual votes are directly observed. Here, we examine a Bayesian…

Applications · Statistics 2023-01-09 John D. O'Brien

The division of mandates to the European Parliament posed difficulties since the beginning of its operation. Introduction of the degressive proportionality principle to legal acts intensified further discussion on this subject. The…

Physics and Society · Physics 2013-01-03 Katarzyna Cegielka

Complex institutions are typically characterized by meso-scale structures which are fundamental for the successful coordination of multiple agents. Here we introduce a framework to study the temporal dynamics of the node-community…

Social and Information Networks · Computer Science 2014-11-05 Gabriele Lami , Marco Cristoforetti , Giuseppe Jurman , Cesare Furlanello , Tommaso Furlanello

Members of a shareholder meeting or legislative committee have greater or smaller voting power than meets the eye if the nucleolus of the induced majority game differs from the voting weight distribution. We establish a new sufficient…

Optimization and Control · Mathematics 2017-03-27 Sascha Kurz , Stefan Napel , Andreas Nohn

This paper applies Bayesian methodologies to characterize the legislative behavior of the Colombian Senate during the period 2010-2014. The analysis is carried out through the plenary roll call votes of this legislative chamber. In…

Applications · Statistics 2021-10-22 Carolina Luque , Juan Sosa

We propose to define a notion of state of the opinion in order to link politician popularity estimations and voting intentions. We present two ways of modelling: a classical approach and quantum modelling. We test these ideas on data…

Physics and Society · Physics 2024-11-18 François Dubois

Measuring the number of "likes" in Twitter and the number of bills voted in favor by the members of the Chilean Chambers of Deputies. We empirically study how signals of agreement in Twitter translates into cross-cutting voting during a…

General Economics · Economics 2021-09-07 Pablo Henríquez , Jorge Sabat , José Patrìcio Sullivan

Recent analysis of social communications among humans has revealed that the interval between interactions for a pair of individuals and for an individual often follows a long-tail distribution. We investigate the effect of such a…

Physics and Society · Physics 2011-09-28 Taro Takaguchi , Naoki Masuda

The margin of victory of an election is a useful measure to capture the robustness of an election outcome. It also plays a crucial role in determining the sample size of various algorithms in post election audit, polling etc. In this work,…

Artificial Intelligence · Computer Science 2015-05-05 Palash Dey , Y. Narahari

This paper describes the application of statistical methods to political polling data in order to look for correlations and memory effects. We propose measures for quantifying the political memory using the correlation function and scaling…

We present theoretical and empirical results demonstrating the usefulness of voting rules for participatory democracies. We first give algorithms which efficiently elicit \epsilon-approximations to two prominent voting rules: the Borda rule…

Multiagent Systems · Computer Science 2014-07-17 David Lee , Ashish Goel , Tanja Aitamurto , Helene Landemore

Climate policy and legislation has a significant influence on both domestic and global responses to the pressing environmental challenges of our time. The effectiveness of such climate legislation is closely tied to the complex dynamics…

Physics and Society · Physics 2025-05-16 Andrew Jacoby , Samiran Ghosh , Malay Banerjee , Aditi Ghosh , Padmanabhan Seshaiyer

A quantitative assessment of the global importance of an agent in a team is as valuable as gold for strategists, decision-makers, and sports coaches. Yet, retrieving this information is not trivial since in a cooperative task it is hard to…

Artificial Intelligence · Computer Science 2022-12-21 Giorgio Angelotti , Natalia Díaz-Rodríguez

The only acceptable form of polling in the multi-billion dollar survey research field utilizes representative samples. We argue that with proper statistical adjustment, non-representative polling can provide accurate predictions, and often…

Social and Information Networks · Computer Science 2014-07-01 David Rothschild , Sharad Goel , Andrew Gelman , Doug Rivers

We use Hotelling's spatial model of competition to investigate the position-taking behaviour of political candidates under a class of electoral systems known as scoring rules. In a scoring rule election, voters rank all the candidates…

Computer Science and Game Theory · Computer Science 2013-01-03 Dodge Cahan , John McCabe-Dansted , Arkadii Slinko

This paper is a twofold contribution. First, it contributes to the problem of enumerating some classes of simple games and in particular provides the number of weighted games with minimum and the number of weighted games for the dual class…

Combinatorics · Mathematics 2015-05-14 Josep Freixas , Sascha Kurz
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