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We propose a probabilistic model to aggregate the answers of respondents answering multiple-choice questions. The model does not assume that everyone has access to the same information, and so does not assume that the consensus answer is…

机器学习 · 统计学 2017-03-16 John McCoy , Drazen Prelec

The bidirectional selection between two classes widely emerges in various social lives, such as commercial trading and mate choosing. Until now, the discussions on bidirectional selection in structured human society are quite limited. We…

物理与社会 · 物理学 2015-02-23 Bin Zhou , Zhe He , Luo-Luo Jiang , Nian-Xin Wang , Bing-Hong Wang

Large language models increasingly rely on explicit reasoning chains and can produce multiple plausible responses for a given context. We study the candidate sampler that produces the set of plausible responses contrasting the ancestral…

计算与语言 · 计算机科学 2025-09-23 Sergey Troshin , Irina Saparina , Antske Fokkens , Vlad Niculae

Statistical models of economic distributions lead to Boltzmann distributions rather than a Pareto power law. This result is supported by two facts: 1. the distributions of income, car sales, marriages or jobs are a matter of chances and…

统计力学 · 物理学 2008-12-02 J. Mimkes , Th. Fruend , G. Willis

Politics around the world exhibits increasing polarization, demonstrated in part by rigid voting configurations in institutions like legislatures or courts. A crux of polarization is separation along a unidimensional ideological axis, but…

物理与社会 · 物理学 2025-12-12 Edward D. Lee

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…

统计理论 · 数学 2018-04-24 Elchanan Mossel , Omer Tamuz

During deliberation processes, mediators and facilitators typically need to select a small and representative set of opinions later used to produce digestible reports for stakeholders. In online deliberation platforms, algorithmic selection…

计算机与社会 · 计算机科学 2026-02-18 Salim Hafid , Manon Berriche , Jean-Philippe Cointet

Rankings are central to decision-making in fields ranging from education to online platforms, yet classical deterministic methods such as the Borda count method or Copeland-type pairwise methods ignore uncertainty due to sampling noise or…

统计方法学 · 统计学 2026-05-20 Shunpu Zhang

This paper builds upon the work of Dougherty and Heckelman (2020) by determining the frequency that 13 voting systems violate Arrow's social choice criteria with up to six alternatives. These results determine which of the 13 voting…

物理与社会 · 物理学 2025-11-18 Virochan Pandit , Joseph Cutrone

Most social choice rules assume access to full rankings, while current alignment practice -- despite aiming for diversity -- typically treats voters as anonymous and comparisons as independent, effectively extracting only about one bit per…

计算机科学与博弈论 · 计算机科学 2026-03-23 Luise Ge , Daniel Halpern , Gregory Kehne , Yevgeniy Vorobeychik

Current alignment pipelines presume a single, universal notion of desirable behavior. However, human preferences often diverge across users, contexts, and cultures. As a result, disagreement collapses into the majority signal and minority…

机器学习 · 计算机科学 2025-06-10 Daniel Halpern , Evi Micha , Ariel D. Procaccia , Itai Shapira

We model voting behaviour in the multi-group setting of a two-tier voting system using sequences of de Finetti measures. Our model is defined by using the de Finetti representation of a probability measure (i.e. as a mixture of…

概率论 · 数学 2026-01-14 Gabor Toth

We settle the computational complexity of fundamental questions related to multicriteria integer linear programs, when the dimensions of the strategy space and of the outcome space are considered fixed constants. In particular we construct:…

最优化与控制 · 数学 2017-01-03 Jesús A. De Loera , Raymond Hemmecke , Matthias Köppe

Online social networks are used to diffuse opinions and ideas among users, enabling a faster communication and a wider audience. The way in which opinions are conditioned by social interactions is usually called social influence. Social…

社会与信息网络 · 计算机科学 2019-07-03 Federico Corò , Emilio Cruciani , Gianlorenzo D'Angelo , Stefano Ponziani

Voting rules based on evaluation inputs rather than preference orders have been recently proposed, like majority judgement, range voting or approval voting. Traditionally, probabilistic analysis of voting rules supposes the use of…

人工智能 · 计算机科学 2021-04-19 Antoine Rolland , Jean-Baptiste Aubin , Irène Gannaz , Samuela Leoni

We present a spectrum of trace-based, testing, and bisimulation equivalences for nondeterministic and probabilistic processes whose activities are all observable. For every equivalence under study, we examine the discriminating power of…

计算机科学中的逻辑 · 计算机科学 2013-06-13 Marco Bernardo , Rocco De Nicola , Michele Loreti

Despite extensive theoretical research on proportionality in approval-based multiwinner voting, its impact on which committees and candidates can be selected in practice remains poorly understood. We address this gap by (i) analyzing the…

计算机科学与博弈论 · 计算机科学 2025-11-13 Niclas Boehmer , Lara Glessen , Jannik Peters

We construct a probabilistic coherence measure for information sets which determines a partial coherence ordering. This measure is applied in constructing a criterion for expanding our beliefs in the face of new information. A number of…

人工智能 · 计算机科学 2007-05-23 Luc Bovens , Stephan Hartmann

Bayesian inference systems should be able to explain their reasoning to users, translating from numerical to natural language. Previous empirical work has investigated the correspondence between absolute probabilities and linguistic…

人工智能 · 计算机科学 2013-04-08 Christopher Elsaesser , Max Henrion

Multi-criteria recommender systems can improve the quality of recommendations by considering user preferences on multiple criteria. One promising approach proposed recently is multi-criteria ranking, which uses Pareto ranking to assign a…

信息检索 · 计算机科学 2023-06-21 Yong Zheng , David Xuejun Wang