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Arrow's Theorem concerns a fundamental problem in social choice theory: given the individual preferences of members of a group, how can they be aggregated to form rational group preferences? Arrow showed that in an election between three or…

概率论 · 数学 2021-09-27 Frederic Koehler , Elchanan Mossel

Participatory budgeting refers to the practice of allocating public resources by collecting and aggregating individual preferences. Most existing studies in this field often assume an additive utility function, where each individual holds a…

计算机科学与博弈论 · 计算机科学 2024-06-21 Jing Yuan , Shaojie Tang

Winner selection by majority, in an election between two candidates, is the only rule compatible with democratic principles. Instead, when the candidates are three or more and the voters rank candidates in order of preference, there are no…

物理与社会 · 物理学 2016-04-19 Pierluigi Contucci , Emanuele Panizzi , Federico Ricci-Tersenghi , Alina Sîrbu

We study a class of elections in which the input format is trichotomous and allows voters to elicit their negative feelings explicitly. In particular, we study multiwinner elections with a special proclivity to elect proportionally…

计算机科学与博弈论 · 计算机科学 2021-01-14 Nimrod Talmon , Rutvik Page

Which level of voting costs is optimal in a democracy? This paper argues that intermediate voting costs - what we term a "Midcost democracy" - should be avoided, as they fail to ensure that electoral outcomes reflect the preferences of the…

理论经济学 · 经济学 2025-07-11 Hans Gersbach , Arthur Schichl , Oriol Tejada

Iterative voting is a natural model of repeated strategic decision-making in social choice theory when agents have the opportunity to update their votes prior to finalizing the group decision. Prior work has analyzed the efficacy of…

计算机科学与博弈论 · 计算机科学 2025-06-12 Joshua Kavner , Lirong Xia

Multi-winner voting is the process of selecting a fixed-size set of representative candidates based on voters' preferences. It occurs in applications ranging from politics (parliamentary elections) to the design of modern computer…

计算机科学与博弈论 · 计算机科学 2022-11-22 Martin Lackner , Piotr Skowron

An important aspect of AI design and ethics is to create systems that reflect aggregate preferences of the society. To this end, the techniques of social choice theory are often utilized. We propose a new social choice function motivated by…

多智能体系统 · 计算机科学 2021-03-02 Gergei Bana , Wojciech Jamroga , David Naccache , Peter Y. A. Ryan

We consider the two-fold problem of representing collective beliefs and aggregating these beliefs. We propose modular, transitive relations for collective beliefs. They allow us to represent conflicting opinions and they have a clear…

人工智能 · 计算机科学 2007-05-23 Pedrito Maynard-Reid , Daniel Lehmann

We study the asymptotic macroscopic properties of the mixed majority-minority game, modeling a population in which two types of heterogeneous adaptive agents, namely ``fundamentalists'' driven by differentiation and ``trend-followers''…

统计力学 · 物理学 2009-11-10 A. De Martino , I. Giardina , G. Mosetti

Complexity of voting manipulation is a prominent topic in computational social choice. In this work, we consider a two-stage voting manipulation scenario. First, a malicious party (an attacker) attempts to manipulate the election outcome in…

计算机科学与博弈论 · 计算机科学 2019-06-18 Edith Elkind , Jiarui Gan , Svetlana Obraztsova , Zinovi Rabinovich , Alexandros A. Voudouris

Emerging methods for participatory algorithm design have proposed collecting and aggregating individual stakeholder preferences to create algorithmic systems that account for those stakeholders' values. Using algorithmic student assignment…

计算机与社会 · 计算机科学 2020-07-15 Samantha Robertson , Niloufar Salehi

We study approval-based committee voting in which a target number of candidates are selected based on voters' approval preferences over candidates. In contrast to most of the work, we consider the setting where voters express uncertain…

计算机科学与博弈论 · 计算机科学 2024-07-30 Hariz Aziz , Venkateswara Rao Kagita , Baharak Rastegari , Mashbat Suzuki

Preference aggregation is a fundamental problem in voting theory, in which public input rankings of a set of alternatives (called preferences) must be aggregated into a single preference that satisfies certain soundness properties. The…

分布式、并行与集群计算 · 计算机科学 2024-10-30 Kenan Wood , Hammurabi Mendes , Jonad Pulaj

We study the problem of selecting a statement that finds common ground across diverse population preferences. Generative AI is uniquely suited for this task because it can access a practically infinite set of statements, but AI systems like…

计算机科学与博弈论 · 计算机科学 2026-03-18 Jay Chooi , Paul Gölz , Ariel D. Procaccia , Benjamin Schiffer , Shirley Zhang

Level-1 Consensus is a property of a preference-profile. Intuitively, it means that there exists a preference relation which induces an ordering of all other preferences such that frequent preferences are those that are more similar to it.…

计算机科学与博弈论 · 计算机科学 2017-12-20 Mor Nitzan , Shmuel Nitzan , Erel Segal-Halevi

In many social-choice mechanisms the resulting choice is not the most preferred one for some of the participants, thus the need for methods to justify the choice made in a way that improves the acceptance and satisfaction of said…

计算机科学与博弈论 · 计算机科学 2022-06-01 Sharadhi Alape Suryanarayana , David Sarne , Sarit Kraus

Condorcet's paradox is a fundamental result in social choice theory which states that there exist elections in which, no matter which candidate wins, a majority of voters prefer a different candidate. In fact, even if we can select any $k$…

计算机科学与博弈论 · 计算机科学 2025-12-02 Moses Charikar , Prasanna Ramakrishnan , Kangning Wang

When can a majority of voters find common ground, that is, a position they all agree upon? How does the shape of the political spectrum influence the outcome? When mathematical objects have a social interpretation, the associated theorems…

组合数学 · 数学 2012-12-21 Deborah E. Berg , Serguei Norine , Francis Edward Su , Robin Thomas , Paul Wollan

We study a very general class of games --- multi-dimensional aggregative games --- which in particular generalize both anonymous games and weighted congestion games. For any such game that is also large, we solve the equilibrium selection…

数据结构与算法 · 计算机科学 2015-02-26 Rachel Cummings , Michael Kearns , Aaron Roth , Zhiwei Steven Wu