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The core is a quintessential solution concept for profit sharing in cooperative game theory. An imputation allocates the worth of the given game among its agents. The imputation lies in the core of the game if, for each sub-coalition, the…

Computer Science and Game Theory · Computer Science 2025-02-05 Rohith Reddy Gangam , Shayan Taherijam , Vijay V. Vazirani

We study a participatory budgeting problem, where a set of strategic agents wish to split a divisible budget among different projects, by aggregating their proposals on a single division. Unfortunately, the straight-forward rule that…

Computer Science and Game Theory · Computer Science 2022-03-21 Ioannis Caragiannis , George Christodoulou , Nicos Protopapas

We study the problem of fair $k$-committee selection under an egalitarian objective. Given $n$ agents partitioned into $m$ groups (\eg, demographic quotas), the goal is to aggregate their preferences to form a committee of size $k$ that…

Data Structures and Algorithms · Computer Science 2026-01-01 Ameet Gadekar , Aristides Gionis , Suhas Thejaswi , Sijing Tu

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

Multi-winner approval-based voting has received considerable attention recently. A voting rule in this setting takes as input ballots in which each agent approves a subset of the available alternatives and outputs a committee of…

Computer Science and Game Theory · Computer Science 2024-02-15 Ioannis Caragiannis , Rob LeGrand , Evangelos Markakis , Emmanouil Pountourakis

In the context of single-winner ranked-choice elections between $m$ candidates, we explore the tradeoff between two competing goals in every democratic system: the majority principle (maximizing the social welfare) and the minority…

Computer Science and Game Theory · Computer Science 2025-07-25 Fatih Erdem Kizilkaya , David Kempe

This paper studies how to aggregate prosumers (or large consumers) and their collective decisions in electricity markets, with a focus on fairness. Fairness is essential for prosumers to participate in aggregation schemes. Some prosumers…

Optimization and Control · Mathematics 2024-09-02 Zoé Fornier , Vincent Leclère , Pierre Pinson

We address the question of aggregating the preferences of voters in the context of participatory budgeting. We scrutinize the voting method currently used in practice, underline its drawbacks, and introduce a novel scheme tailored to this…

Computer Science and Game Theory · Computer Science 2020-09-16 Ashish Goel , Anilesh K. Krishnaswamy , Sukolsak Sakshuwong , Tanja Aitamurto

Many societal decision problems lie in high-dimensional continuous spaces not amenable to the voting techniques common for their discrete or single-dimensional counterparts. These problems are typically discretized before running an…

Multiagent Systems · Computer Science 2018-10-30 Nikhil Garg , Vijay Kamble , Ashish Goel , David Marn , Kamesh Munagala

Participatory Budgeting (PB) offers a democratic process for communities to allocate public funds across various projects through voting. In practice, PB organizers face challenges in selecting aggregation rules either because they are not…

Machine Learning · Computer Science 2024-12-04 Roy Fairstein , Dan Vilenchik , Kobi Gal

This paper studies an incentive structure for cooperation and its stability in peer-assisted services when there exist multiple content providers, using a coalition game theoretic approach. We first consider a generalized coalition…

Networking and Internet Architecture · Computer Science 2015-03-19 Jeong-woo Cho , Yung Yi

Coalitional games are mathematical models suited to analyze scenarios where players can collaborate by forming coalitions in order to obtain higher worths than by acting in isolation. A fundamental problem for coalitional games is to single…

Computer Science and Game Theory · Computer Science 2013-07-19 Gianluigi Greco , Enrico Malizia , Luigi Palopoli , Francesco Scarcello

The fast spreading adoption of machine learning (ML) by companies across industries poses significant regulatory challenges. One such challenge is scalability: how can regulatory bodies efficiently audit these ML models, ensuring that they…

Machine Learning · Computer Science 2022-06-20 Tom Yan , Chicheng Zhang

A key question in cooperative game theory is that of coalitional stability, usually captured by the notion of the \emph{core}--the set of outcomes such that no subgroup of players has an incentive to deviate. However, some coalitional games…

Computer Science and Game Theory · Computer Science 2010-10-21 Yoram Bachrach , Edith Elkind , Reshef Meir , Dmitrii Pasechnik , Michael Zuckerman , Joerg Rothe , Jeffrey S. Rosenschein

We study a budget aggregation setting where voters express their preferred allocation of a fixed budget over a set of alternatives, and a mechanism aggregates these preferences into a single output allocation. Motivated by scenarios in…

Computer Science and Game Theory · Computer Science 2025-05-12 Ulrike Schmidt-Kraepelin , Warut Suksompong , Markus Utke

Participatory budgeting is a popular method to engage residents in budgeting decisions by local governments. The Stanford Participatory Budgeting platform is an online platform that has been used to engage residents in more than 150…

Computers and Society · Computer Science 2024-08-28 Lodewijk Gelauff , Ashish Goel

We study the problem of auditing the fairness of a given classifier under partial feedback, where true labels are available only for positively classified individuals, (e.g., loan repayment outcomes are observed only for approved…

Machine Learning · Computer Science 2026-02-24 Nirjhar Das , Mohit Sharma , Praharsh Nanavati , Kirankumar Shiragur , Amit Deshpande

We study the problem of auditing classifiers with the notion of statistical subgroup fairness. Kearns et al. (2018) has shown that the problem of auditing combinatorial subgroups fairness is as hard as agnostic learning. Essentially all…

Machine Learning · Computer Science 2024-03-04 Daniel Hsu , Jizhou Huang , Brendan Juba

In pursuit of participatory budgeting (PB) outcomes with broader fairness guarantees, we initiate the study of lotteries over discrete PB outcomes. As the projects have heterogeneous costs, the amount spent may not be equal ex ante and ex…

Computer Science and Game Theory · Computer Science 2024-04-12 Haris Aziz , Xinhang Lu , Mashbat Suzuki , Jeremy Vollen , Toby Walsh

Participatory Budgeting (PB) is a form of participatory democracy in which citizens select a set of projects to be implemented, subject to a budget constraint. The Method of Equal Shares (MES), introduced in [18], is a simple iterative…

Computer Science and Game Theory · Computer Science 2023-10-17 Sonja Kraiczy , Edith Elkind