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Perpetual voting was recently introduced as a framework for long-term collective decision making. In this framework, we consider a sequence of subsequent approval-based elections and try to achieve a fair overall outcome. To achieve…

Computer Science and Game Theory · Computer Science 2021-05-03 Martin Lackner , Jan Maly

The effective application of representation learning to real-world problems requires both techniques for learning useful representations, and also robust ways to evaluate properties of representations. Recent work in disentangled…

Machine Learning · Computer Science 2020-12-16 Salman Mohammadi , Anders Kirk Uhrenholt , Bjørn Sand Jensen

In the context of computational social choice, we study voting methods that assign a set of winners to each profile of voter preferences. A voting method satisfies the property of positive involvement (PI) if for any election in which a…

Computer Science and Game Theory · Computer Science 2021-06-23 Wesley H. Holliday , Eric Pacuit

A voting rule decides on a probability distribution over a set of m alternatives, based on rankings of those alternatives provided by agents. We assume that agents have cardinal utility functions over the alternatives, but voting rules have…

Computer Science and Game Theory · Computer Science 2024-01-23 Soroush Ebadian , Anson Kahng , Dominik Peters , Nisarg Shah

This paper is devoted to the application of the mathematical formalism of quantum mechanics to social (political) science. By using the quantum dynamical equations we model the process of decision making in US elections. The crucial point…

General Physics · Physics 2012-06-14 Polina Khrennikova , Andrei Khrennikov , Emmanuel Haven

We study conditioning on null events, or surprises, and behaviorally characterize the Ordered Surprises (OS) representation of beliefs. For feasible events, our Decision Maker (DM) is Bayesian. For null events, our DM considers a hierarchy…

Theoretical Economics · Economics 2022-08-09 Adam Dominiak , Matthew Kovach , Gerelt Tserenjigmid

We show how voting may be viewed naturally from an algebraic perspective by viewing voting profiles as elements of certain well-studied $\mathbb{Q}S_n$-modules. By using only a handful of simple combinatorial objects (e.g., tabloids) and…

Representation Theory · Mathematics 2007-12-19 Zajj Daugherty , Alexander K. Eustis , Gregory Minton , Michael E. Orrison

We consider a voting model, where a number of candidates need to be selected subject to certain feasibility constraints. The model generalises committee elections (where there is a single constraint on the number of candidates that need to…

Computer Science and Game Theory · Computer Science 2025-09-24 Tomáš Masařík , Grzegorz Pierczyński , Piotr Skowron

The Voter model is a well-studied stochastic process that models the invasion of a novel trait $A$ (e.g., a new opinion, social meme, genetic mutation, magnetic spin) in a network of individuals (agents, people, genes, particles) carrying…

Populations and Evolution · Quantitative Biology 2023-02-28 Petros Petsinis , Andreas Pavlogiannis , Panagiotis Karras

Accounting for undecided and uncertain voters is a challenging issue for predicting election results from public opinion polls. Undecided voters typify the uncertainty of swing voters in polls but are often ignored or allocated to each…

Applications · Statistics 2019-01-18 Joshua J Bon , Timothy Ballard , Bernard Baffour

We study higher statistical moments of Distortion for randomized social choice in a metric implicit utilitarian model. The Distortion of a social choice mechanism is the expected approximation factor with respect to the optimal utilitarian…

Computer Science and Game Theory · Computer Science 2020-04-29 Brandon Fain , William Fan , Kamesh Munagala

We view voting rules as classifiers that assign a winner (a class) to a profile of voters' preferences (an instance). We propose to apply techniques from formal explainability, most notably abductive and contrastive explanations, to…

Artificial Intelligence · Computer Science 2024-08-27 Clément Contet , Umberto Grandi , Jérôme Mengin

This paper describes the online dynamic examination application plugin named O.D.E.S., developed according to the open source software philosophy, where the CMS Wordpress is used as programmers/coders are given the potential to develop…

Computers and Society · Computer Science 2018-05-16 George F. Fragulis , Lazaros Lazaridis , Maria Papatsimouli , Ioannis A. Skordas

A potential voter must incur a number of costs in order to successfully cast an in-person ballot, including the costs associated with identifying and traveling to a polling place. In order to investigate how these costs affect voting…

For a voting ensemble that selects an odd-sized subset of the ensemble classifiers at random for each example, applies them to the example, and returns the majority vote, we show that any number of voters may minimize the error rate over an…

Machine Learning · Computer Science 2021-04-27 Eric Bax

This paper considers the ranking problem of candidates for a certain position based on ballot papers filled by voters. We suggest a ranking procedure of alternatives using cooperative game theory methods. For this, it is necessary to…

Computer Science and Game Theory · Computer Science 2022-09-09 Aleksei Kondratev , Vladimir Mazalov

Despite the prevalence of voting systems in the real world there is no consensus among researchers of how people vote strategically, even in simple voting settings. This paper addresses this gap by comparing different approaches that have…

Computer Science and Game Theory · Computer Science 2019-09-24 Roy Fairstein , Adam Lauz , Kobi Gal , Reshef Meir

We consider the problem of predicting winners in elections, for the case where we are given complete knowledge about all possible candidates, all possible voters (together with their preferences), but where it is uncertain either which…

Computer Science and Game Theory · Computer Science 2016-03-27 Krzysztof Wojtas , Krzysztof Magiera , Tomasz Miąsko , Piotr Faliszewski

Nowadays there is an increasing interest of physicists in finding regularities related to social phenomena. This interest is clearly motivated by applications that a statistical mechanical description of the human behavior may have in our…

Physics and Society · Physics 2011-10-28 M. C. Mantovani , H. V. Ribeiro , M. V. Moro , S. Picoli , R. S. Mendes

Often times, a candidate's attractiveness is directly associated with his clear ideologies and opinions on various policies and social issues. Using the ideas of stochastic differential equations and Ornstein-Uhlenbeck Process, we develop a…

Physics and Society · Physics 2020-09-14 Santosh Kumar Radha
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