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Related papers: Anonymous, non-manipulable, binary social choice

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A planner wants to select one agent out of n agents on the basis of a binary characteristic that is commonly known to all agents but is not observed by the planner. Any pair of agents can either be friends or enemies or impartials of each…

Theoretical Economics · Economics 2025-11-17 Francis Bloch , Bhaskar Dutta , Marcin Dziubiński

The mathematical study of voting, social choice theory, has traditionally only been applicable to choices among a few predetermined alternatives, but not to open-ended decisions such as collectively selecting a textual statement. We…

Computer Science and Game Theory · Computer Science 2025-03-07 Sara Fish , Paul Gölz , David C. Parkes , Ariel D. Procaccia , Gili Rusak , Itai Shapira , Manuel Wüthrich

Many classical social preference (multiwinner social choice) correspondences are resolute only when two alternatives and an odd number of individuals are considered. Thus, they generally admit several resolute refinements, each of them…

Combinatorics · Mathematics 2020-12-09 Daniela Bubboloni , Michele Gori

A set of agents has to make a decision about the provision of a public good and its financing. Agents have heterogeneous values for the public good and each agent's value is private information. An agenda-setter has the right to make a…

Theoretical Economics · Economics 2025-04-16 Giovanni Valvassori Bolgè

In discrete optimization, representing an objective function as an $s$-$t$ cut function of a network is a basic technique to design an efficient minimization algorithm. A network representable function can be minimized by computing a…

Optimization and Control · Mathematics 2017-05-30 Yuni Iwamasa

Classical power index analysis considers the individual's ability to influence the aggregated group decision by changing its own vote, where all decisions and votes are assumed to be binary. In many practical applications we have more…

Computer Science and Game Theory · Computer Science 2013-12-23 Sascha Kurz

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 economies without monetary transfers, token systems serve as an alternative to sustain cooperation, alleviate free riding, and increase efficiency. This paper studies whether a token-based economy can be effective in marketplaces with…

Computer Science and Game Theory · Computer Science 2025-08-04 Itai Ashlagi , Süleyman Kerimov , Omer Tamuz , Geng Zhao

Economies and societal structures in general are complex stochastic systems which may not lend themselves well to algebraic analysis. An addition of subjective value criteria to the mechanics of interacting agents will further complicate…

General Finance · Quantitative Finance 2018-12-07 Dmitriy Volinskiy , Lana Cuthbertson , Omid Ardakanian

In a strategy-proof mechanism, the influence of an agent may be measured as the set of outcomes an agent can bring about by varying her (reported) type. More specifically, we refer to an agent's influence on her own relevant outcomes as her…

Theoretical Economics · Economics 2025-12-12 Christian Basteck , Ulysse Lojkine

We prove a quantitative version of the Gibbard-Satterthwaite theorem. We show that a uniformly chosen voter profile for a neutral social choice function f of $q \ge 4$ alternatives and n voters will be manipulable with probability at least…

Combinatorics · Mathematics 2010-04-14 Marcus Isaksson , Guy Kindler , Elchanan Mossel

Social choice is replete with various settings including single-winner voting, multi-winner voting, probabilistic voting, multiple referenda, and public decision making. We study a general model of social choice called Sub-Committee Voting…

Computer Science and Game Theory · Computer Science 2017-11-17 Haris Aziz , Barton E. Lee

A recently proposed model of social interaction in voting is investigated by simplifying it down into a version that is more analytically tractable and which allows a mathematical analysis to be performed. This analysis clarifies the…

Physics and Society · Physics 2016-07-20 Luis F. Lafuerza , Louise Dyson , Bruce Edmonds , Alan J. McKane

Teddy Seidenfeld has been arguing for quite a long time that binary preference models are not powerful enough to deal with a number of crucial aspects of imprecision and indeterminacy in uncertain inference and decision making. It is at his…

Artificial Intelligence · Computer Science 2021-02-23 Jasper De Bock , Gert de Cooman

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

We study the problem of selecting a member of a set of agents based on impartial nominations by agents from that set. The problem was studied previously by Alon et al. and Holzman and Moulin and has important applications in situations…

Computer Science and Game Theory · Computer Science 2013-11-01 Felix Fischer , Max Klimm

Coalitional voting games appear in different forms in multi-agent systems, social choice and threshold logic. In this paper, the complexity of comparison of influence between players in coalitional voting games is characterized. The…

Computer Science and Game Theory · Computer Science 2008-09-04 Haris Aziz

As the world's democratic institutions are challenged by dissatisfied citizens, political scientists and also computer scientists have proposed and analyzed various (innovative) methods to select representative bodies, a crucial task in…

Multiagent Systems · Computer Science 2023-04-07 Manon Revel , Niclas Boehmer , Rachael Colley , Markus Brill , Piotr Faliszewski , Edith Elkind

We study the problem of approximate social welfare maximization (without money) in one-sided matching problems when agents have unrestricted cardinal preferences over a finite set of items. Random priority is a very well-known…

Computer Science and Game Theory · Computer Science 2014-05-07 Aris Filos-Ratsikas , Søren Kristoffer Stiil Frederiksen , Jie Zhang

We present a simple proof of a well-known axiomatic characterization of state-salient decision rules, using Weak Dominance Criterion and Global Independence of Irrelevant Alternatives. Subsequently we provide a simple axiomatic…

Optimization and Control · Mathematics 2025-03-11 Somdeb Lahiri