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We study the evolution of cooperation in an interacting particle system with two types. The model we investigate is an extension of a two-type biased voter model. One type (called defector) has a (positive) bias $\alpha$ with respect to the…

Probability · Mathematics 2018-06-08 Peter Czuppon , Peter Pfaffelhuber

The voter model is a classical interacting particle system, modelling how global consensus is formed by local imitation. We analyse the time to consensus for a particular family of voter models when the underlying structure is a scale-free…

Probability · Mathematics 2024-01-11 John Fernley

Collective decision-making is a process by which a group of individuals determines a shared outcome that shapes societal dynamics; from innovation diffusion to organizational choices. A common approach to model these processes is using…

Physics and Society · Physics 2025-04-03 Maciej Doniec , Pratik Mullick , Parongama Sen , Katarzyna Sznajd-Weron

We introduce a non-linear variant of the voter model, the q-voter model, in which q neighbors (with possible repetition) are consulted for a voter to change opinion. If the q neighbors agree, the voter takes their opinion; if they do not…

Physics and Society · Physics 2009-11-27 C. Castellano , M. A. Munoz , R. Pastor-Satorras

Deliberation is a common and natural behavior in human daily life. For example, when writing papers or articles, we usually first write drafts, and then iteratively polish them until satisfied. In light of such a human cognitive process, we…

Software Engineering · Computer Science 2022-09-15 Fangwen Mu , Xiao Chen , Lin Shi , Song Wang , Qing Wang

The way that people make choices or exhibit preferences can be strongly affected by the set of available alternatives, often called the choice set. Furthermore, there are usually heterogeneous preferences, either at an individual level…

Computer Science and Game Theory · Computer Science 2020-08-04 Kiran Tomlinson , Austin R. Benson

We generalize a binary majority-vote model on adaptive networks to a plurality-vote counterpart. When opinions are uniformly distributed in the population of voters in the initial state, it is found that having more available opinions in…

Physics and Society · Physics 2016-06-24 Degang Wu , Kwok Yip Szeto

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…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Masato Hisakado , Shintaro Mori

We examine vote delegation when preferences of agents are private information. One group of agents (delegators) does not want to participate in voting and abstains under conventional voting or can delegate its votes to the other group…

Computer Science and Game Theory · Computer Science 2021-10-26 Hans Gersbach , Akaki Mamageishvili , Manvir Schneider

In many circumstances there is a trade off between the number of voters and the time they can be given before having to make a decision since both aspects are costly. An example is the hiring of a committee with a fixed salary budget: more…

Theoretical Economics · Economics 2024-04-16 Gustaf Arrhenius , Klas Markström

In voting theory, bribery is a form of manipulative behavior in which an external actor (the briber) offers to pay the voters to change their votes in order to get her preferred candidate elected. We investigate a model of bribery where the…

Computer Science and Game Theory · Computer Science 2015-05-13 E. Elkind , P. Faliszewski , A. Slinko

Deliberative democracy arguably leads to better collective decisions, but is fundamentally constrained by human attention and bandwidth. While recent AI-mediated deliberations scale participation by synthesizing inputs from many humans,…

Computers and Society · Computer Science 2026-05-28 Joseph Low , Oscar Duys , Claude Formanek , Michiel Bakker , Lewis Hammond

The term "diffusion of responsibility'' refers to situations in which multiple agents share responsibility for an outcome, obscuring individual accountability. This paper examines this frequently undesirable phenomenon in the context of…

Multiagent Systems · Computer Science 2025-06-10 Pavel Naumov , Jia Tao

Social media sites are often guided by a core group of committed users engaged in various forms of governance. A crucial aspect of this type of governance is deliberation, in which such a group reaches decisions on issues of importance to…

Physics and Society · Physics 2010-04-22 Jure Leskovec , Daniel Huttenlocher , Jon Kleinberg

In societal-scale decision-making systems the collective is faced with the problem of ensuring that the derived group decision is in accord with the collective's intention. In modern systems, political institutions have instatiated…

Computers and Society · Computer Science 2007-05-23 Marko Rodriguez , Daniel Steinbock

This article unpacks the design choices behind longstanding and newly proposed computational frameworks aimed at finding common grounds across collective preferences and examines their potential future impacts, both technically and…

Computers and Society · Computer Science 2025-06-25 Manon Revel , Théophile Pénigaud

Wikipedia is a prime example of today's value production in a collaborative environment. Using this example, we model the emergence, persistence and resolution of severe conflicts during collaboration by coupling opinion formation with…

Physics and Society · Physics 2023-01-05 Gerardo Iñiguez , János Török , Taha Yasseri , Kimmo Kaski , János Kertész

We propose an exactly solvable model for the dynamics of voters in a two-party system. The opinion formation process is modeled on a random network of agents. The dynamical nature of interpersonal relations is also reflected in the model,…

Physics and Society · Physics 2009-11-13 I. J. Benczik , S. Z. Benczik , B. Schmittmann , R. K. P. Zia

Voting power determines the "power" of individuals who cast votes; their power is based on their ability to influence the winning-ness of a coalition. Usually each individual acts alone, casting either all or none of their votes and is…

Computer Science and Game Theory · Computer Science 2013-12-13 Daniel Zwillinger

We design two mechanisms that ensure that the majority preferred option wins in all equilibria. The first one is a simultaneous game where agents choose other agents to cooperate with on top of the vote for an alternative, thus overcoming…

Theoretical Economics · Economics 2023-10-12 Kirneva Margarita , Núñez Matías
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