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We study a model of consensus decision making, in which a finite group of Bayesian agents has to choose between one of two courses of action. Each member of the group has a private and independent signal at his or her disposal, giving some…

Statistics Theory · Mathematics 2018-04-24 Elchanan Mossel , Omer Tamuz

One way of evaluating social choice (voting) rules is through a utilitarian distortion framework. In this model, we assume that agents submit full rankings over the alternatives, and these rankings are generated from underlying, but…

Computer Science and Game Theory · Computer Science 2018-10-03 Ashish Goel , Reyna Hulett , Anilesh K. Krishnaswamy

We present a semantics for adding uncertainty to conditional logics for default reasoning and belief revision. We are able to treat conditional sentences as statements of conditional probability, and express rules for revision such as "If A…

Artificial Intelligence · Computer Science 2013-03-08 Craig Boutilier

Standard approaches to probabilistic reasoning require that one possesses an explicit model of the distribution in question. But, the empirical learning of models of probability distributions from partial observations is a problem for which…

Artificial Intelligence · Computer Science 2018-07-02 Brendan Juba

Topological models of empirical and formal inquiry are increasingly prevalent. They have emerged in such diverse fields as domain theory [1, 16], formal learning theory [18], epistemology and philosophy of science [10, 15, 8, 9, 2],…

Machine Learning · Computer Science 2017-08-01 Konstantin Genin , Kevin T. Kelly

Providing users with alternatives to choose from is an essential component in many online platforms, making the accurate prediction of choice vital to their success. A renewed interest in learning choice models has led to significant…

Machine Learning · Computer Science 2020-01-22 Nir Rosenfeld , Kojin Oshiba , Yaron Singer

In this paper, we study how an agent's belief is affected by her neighbors in a social network. We first introduce a general framework, where every agent has an initial belief on a statement, and updates her belief according to her and her…

Artificial Intelligence · Computer Science 2013-09-04 Yi Zhou

A recent work by Hern\'andez et al. introduced a networked voting rule supported by a trust-based social network, where indications of possible representatives were based on individuals opinions. Individual contributions went beyond a…

Physics and Society · Physics 2020-07-01 Alexis R. Hernandez , Carlos Gracia-Lazaro , Edgardo Brigatti , Yamir Moreno

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 paper presents some fundamental collective choice theory for information system designers, particularly those working in the field of computer-supported cooperative work. This paper is focused on a presentation of Arrow's Possibility…

Multiagent Systems · Computer Science 2007-05-23 Walter Eaves

To understand and summarize approval preferences and other binary evaluation data, it is useful to order the items on an axis which explains the data. In a political election using approval voting, this could be an ideological left-right…

Computer Science and Game Theory · Computer Science 2024-05-08 Théo Delemazure , Chris Dong , Dominik Peters , Magdaléna Tydrichová

In this study, I present a theoretical social learning model to investigate how confirmation bias affects opinions when agents exchange information over a social network. Hence, besides exchanging opinions with friends, agents observe a…

Theoretical Economics · Economics 2023-02-27 Marcos R. Fernandes

This paper presents an experimental study to investigate the learning and decision making behavior of individuals in a human society. Social learning is used as the mathematical basis for modelling interaction of individuals that aim to…

Social and Information Networks · Computer Science 2014-08-25 Maziyar Hamdi , Grayden Solman , Alan Kingstone , Vikram Krishnamurthy

Decision-making on networks can be explained by both homophily and social influence. While homophily drives the formation of communities with similar characteristics, social influence occurs both within and between communities. Social…

Social and Information Networks · Computer Science 2020-06-02 Yan Leng , Tara Sowrirajan , Alex Pentland

We study the role of hierarchical structures in a simple model of collective consensus formation based on the bounded confidence model with continuous individual opinions. For the particular variation of this model considered in this paper,…

Physics and Society · Physics 2012-07-24 Nicolas Perony , René Pfitzner , Ingo Scholtes , Claudio J. Tessone , Frank Schweitzer

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

Recent progress in the large scale mapping of social networks is opening new quantitative windows into the structure of human societies. These networks are largely the result of how we access and utilize information. Here I show that a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luis M. A. Bettencourt

Selectional preference learning methods have usually focused on word-to-class relations, e.g., a verb selects as its subject a given nominal class. This papers extends previous statistical models to class-to-class preferences, and presents…

Computation and Language · Computer Science 2007-05-23 E. Agirre , D. Martinez

We consider the problem of determining feasible systems from a finite set of simulated alternatives with respect to probability constraints, where the observations from stochastic simulations are Bernoulli distributed. Most statistically…

Optimization and Control · Mathematics 2026-05-27 Taehoon Kim , Sigrun Andradottir , Seong-Hee Kim , Yuwei Zhou

In this survey, we review the literature investigating participatory budgeting as a social choice problem. Participatory Budgeting (PB) is a democratic process in which citizens are asked to vote on how to allocate a given amount of public…

Computer Science and Game Theory · Computer Science 2025-03-14 Simon Rey , Felicia Schmidt , Jan Maly
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