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We study social choice mechanisms in an implicit utilitarian framework with a metric constraint, where the goal is to minimize \textit{Distortion}, the worst case social cost of an ordinal mechanism relative to underlying cardinal…

Computer Science and Game Theory · Computer Science 2020-07-03 Brandon Fain , Ashish Goel , Kamesh Munagala , Nina Prabhu

We study the problem of repeated two-sided matching with uncertain preferences (two-sided bandits), and no explicit communication between agents. Recent work has developed algorithms that converge to stable matchings when one side (the…

Multiagent Systems · Computer Science 2025-08-13 Gaurab Pokharel , Sanmay Das

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…

Physics and Society · Physics 2016-04-19 Pierluigi Contucci , Emanuele Panizzi , Federico Ricci-Tersenghi , Alina Sîrbu

We study committee voting rules under ranked preferences, which map the voters' preference relations to a subset of the alternatives of predefined size. In this setting, the compatibility between proportional representation and committee…

Computer Science and Game Theory · Computer Science 2025-03-11 Haris Aziz , Patrick Lederer , Dominik Peters , Jannik Peters , Angus Ritossa

In many domains it is desirable to assess the preferences of users in a qualitative rather than quantitative way. Such representations of qualitative preference orderings form an importnat component of automated decision tools. We propose a…

Artificial Intelligence · Computer Science 2013-01-30 Craig Boutilier , Ronen I. Brafman , Holger H. Hoos , David L. Poole

This paper considers the scenario in which there are multiple institutions, each with a limited capacity for candidates, and candidates, each with preferences over the institutions. A central entity evaluates the utility of each candidate…

Data Structures and Algorithms · Computer Science 2024-09-10 L. Elisa Celis , Amit Kumar , Nisheeth K. Vishnoi , Andrew Xu

Obviously strategyproof (OSP) mechanisms maintain the incentive compatibility of agents that are not fully rational. They have been object of a number of studies since their recent definition. A research agenda, initiated in…

Computer Science and Game Theory · Computer Science 2018-04-30 Diodato Ferraioli , Carmine Ventre

In multi-type resource allocation (MTRA) problems, there are p $\ge$ 2 types of items, and n agents, who each demand one unit of items of each type, and have strict linear preferences over bundles consisting of one item of each type. For…

Computer Science and Game Theory · Computer Science 2020-04-28 Xiaoxi Guo , Sujoy Sikdar , Haibin Wang , Lirong Xia , Yongzhi Cao , Hanpin Wang

It is challenging to quantify numerical preferences for different objectives in a multi-objective decision-making problem. However, the demonstrations of a user are often accessible. We propose an algorithm to infer linear preference…

Artificial Intelligence · Computer Science 2023-04-28 Junlin Lu

Conditional preference networks (CP-nets) are a graphical representation of a person's (conditional) preferences over a set of discrete variables. In this paper, we introduce a novel method of quantifying preference for any given outcome…

Artificial Intelligence · Computer Science 2018-09-10 Kathryn Laing , Peter Adam Thwaites , John Paul Gosling

Probabilistic programs with mixed support (both continuous and discrete latent random variables) commonly appear in many probabilistic programming systems (PPSs). However, the existence of the discrete random variables prohibits many basic…

Machine Learning · Computer Science 2020-03-06 David Tolpin , Yuan Zhou , Hongseok Yang

In most social choice settings, the participating agents express their preferences over the different alternatives in the form of linear orderings. While this clearly simplifies preference elicitation, it inevitably leads to poor…

Computer Science and Game Theory · Computer Science 2022-10-05 Georgios Amanatidis , Georgios Birmpas , Aris Filos-Ratsikas , Alexandros A. Voudouris

We all have preferences when multiple choices are available. If we insist on satisfying our preferences only, we may suffer a loss due to conflicts with other people's identical selections. Such a case applies when the choice cannot be…

Theoretical Economics · Economics 2023-02-21 Hiroaki Shinkawa , Nicolas Chauvet , Guillaume Bachelier , André Röhm , Ryoichi Horisaki , Makoto Naruse

Mathematical psychology has a long tradition of modeling probabilistic choice via distribution-free random utility models and associated random preference models. For such models, the predicted choice probabilities often form a bounded and…

Optimization and Control · Mathematics 2017-10-10 Clintin P. Davis-Stober , Jean-Paul Doignon , Samuel Fiorini , François Glineur , Michel Regenwetter

We introduce a new incremental preference elicitation procedure able to deal with noisy responses of a Decision Maker (DM). The originality of the contribution is to propose a Bayesian approach for determining a preferred solution in a…

Artificial Intelligence · Computer Science 2020-07-30 Nadjet Bourdache , Patrice Perny , Olivier Spanjaard

We study the phenomenon of intransitivity in models of dice and voting. First, we follow a recent thread of research for $n$-sided dice with pairwise ordering induced by the probability, relative to $1/2$, that a throw from one die is…

Probability · Mathematics 2020-10-27 Jan Hązła , Elchanan Mossel , Nathan Ross , Guangqu Zheng

We consider a model where an agent is must choose between alternatives that each provide only an imprecise description of the world (e.g. linguistic expressions). The set of alternatives is closed under logical conjunction and disjunction,…

Theoretical Economics · Economics 2024-09-11 Evan Piermont , Marcus Pivato

In social choice settings with linear preferences, random dictatorship is known to be the only social decision scheme satisfying strategyproofness and ex post efficiency. When also allowing indifferences, random serial dictatorship (RSD) is…

Computer Science and Game Theory · Computer Science 2015-02-06 Haris Aziz , Felix Brandt , Markus Brill

The adoption of automated, data-driven decision making in an ever expanding range of applications has raised concerns about its potential unfairness towards certain social groups. In this context, a number of recent studies have focused on…

We study the classical probabilistic assignment problem, where finitely many indivisible objects are to be probabilistically or proportionally assigned among an equal number of agents. Each agent has an initial deterministic endowment and a…

Theoretical Economics · Economics 2025-11-07 Sai Praneeth Donthu , Souvik Roy , Soumyarup Sadhukhan , Gogulapati Sreedurga