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Fair allocation of indivisible goods studies allocating $m$ goods among $n$ agents in a fair manner. While fairness is a fundamental requirement in many real-world applications, it often conflicts with (economic) efficiency. This raises a…

Computer Science and Game Theory · Computer Science 2025-06-03 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

Fairness in algorithmic decision-making is often defined in the predictive space, where predictive performance - used as a proxy for decision-maker (DM) utility - is traded off against prediction-based fairness notions, such as demographic…

Machine Learning · Computer Science 2026-04-16 Kavya Gupta , Nektarios Kalampalikis , Christoph Heitz , Isabel Valera

We present a set of five axioms for fairness measures in resource allocation. A family of fairness measures satisfying the axioms is constructed. Well-known notions such as alpha-fairness, Jain's index, and entropy are shown to be special…

Networking and Internet Architecture · Computer Science 2009-10-07 Tian Lan , David Kao , Mung Chiang , Ashutosh Sabharwal

We consider the discrete assignment problem in which agents express ordinal preferences over objects and these objects are allocated to the agents in a fair manner. We use the stochastic dominance relation between fractional or randomized…

Computer Science and Game Theory · Computer Science 2015-06-18 Haris Aziz , Serge Gaspers , Simon Mackenzie , Toby Walsh

Foundational models of computation often abstract away physical hardware limitations. However, in extreme environments like In-Network Computing (INC), these limitations become inviolable laws, creating an acute trilemma among communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Zhiyuan Ren , Mingxuan Lu , Wenchi Cheng

We study truthful mechanisms for approximating the Maximin-Share (MMS) allocation of agents with additive valuations for indivisible goods. Algorithmically, constant factor approximations exist for the problem for any number of agents. When…

Computer Science and Game Theory · Computer Science 2024-06-12 Ilan Reuven Cohen , Alon Eden , Talya Eden , Arsen Vasilyan

The most prevalent notions of fairness in machine learning are statistical definitions: they fix a small collection of pre-defined groups, and then ask for parity of some statistic of the classifier across these groups. Constraints of this…

Machine Learning · Computer Science 2018-12-04 Michael Kearns , Seth Neel , Aaron Roth , Zhiwei Steven Wu

We study the design of one-to-one matching mechanisms that are strategy-proof for both sides and as stable as possible. Motivated by the impossibility result of Roth (1982), we formulate the mechanism design problem as a linear program that…

Theoretical Economics · Economics 2026-02-04 Tohya Sugano

Matching algorithms are used routinely to match donors to recipients for solid organs transplantation, for the assignment of medical residents to hospitals, record linkage in databases, scheduling jobs on machines, network switching, online…

Data Structures and Algorithms · Computer Science 2020-01-09 David García-Soriano , Francesco Bonchi

We study a budget-aggregation setting in which a number of voters report their ideal distribution of a budget over a set of alternatives, and a mechanism aggregates these reports into an allocation. Ideally, such mechanisms are truthful,…

Computer Science and Game Theory · Computer Science 2024-07-26 Mark de Berg , Rupert Freeman , Ulrike Schmidt-Kraepelin , Markus Utke

We studied the Fault-Tolerant Facility Placement problem (FTFP) which generalizes the uncapacitated facility location problem (UFL). In FTFP, we are given a set F of sites at which facilities can be built, and a set C of clients with some…

Data Structures and Algorithms · Computer Science 2011-08-30 Li Yan , Marek Chrobak

We revisit the classic problem of fair division from a mechanism design perspective, using {\em Proportional Fairness} as a benchmark. In particular, we aim to allocate a collection of divisible items to a set of agents while incentivizing…

Computer Science and Game Theory · Computer Science 2014-02-26 Richard Cole , Vasilis Gkatzelis , Gagan Goel

A central decision maker (CDM), who seeks an efficient allocation of scarce resources among a finite number of players, often has to incorporate fairness criteria to avoid unfair outcomes. Indeed, the Price of Fairness (POF), a term coined…

Computer Science and Game Theory · Computer Science 2024-10-31 Yifeng Cao , Yichuan Ding , Daniel Granot

We study the allocation of shared resources over multiple rounds among competing agents, via the dynamic max-min fair (DMMF) mechanism: the good in each round is allocated to the requesting agent with the least number of allocations…

Computer Science and Game Theory · Computer Science 2025-06-13 Giannis Fikioris , Siddhartha Banerjee , Éva Tardos

We study the distributed facility location games with candidate locations, where agents on a line are partitioned into groups. Both desirable and obnoxious facility location settings are discussed. In distributed location problems,…

Computer Science and Game Theory · Computer Science 2025-01-03 Feiyue Sun

In the assignment problem, the goal is to assign indivisible items to agents who have ordinal preferences, efficiently and fairly, in a strategyproof manner. In practice, first-choice maximality, i.e., assigning a maximal number of agents…

Computer Science and Game Theory · Computer Science 2023-01-24 Xiaoxi Guo , Sujoy Sikdar , Lirong Xia , Yongzhi Cao , Hanpin Wang

We study a fair division problem with indivisible items, namely the computation of maximin share allocations. Given a set of $n$ players, the maximin share of a single player is the best she can guarantee to herself, if she would partition…

Computer Science and Game Theory · Computer Science 2016-05-16 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis

We study the fair allocation of indivisible items subject to conflict constraints. In this framework, the items are represented as the vertices of a graph, with edges corresponding to conflicts between pairs of items. Each agent is assigned…

Computer Science and Game Theory · Computer Science 2026-05-12 Sarfaraz Equbal , Rohit Gurjar , Ayumi Igarashi , Yatharth Kumar , Pasin Manurangsi , Swaprava Nath , Raghuvansh Saxena , Rohit Vaish , Hirotaka Yoneda

Fairness and privacy are two important concerns in social decision-making processes such as resource allocation. We study privacy in the fair allocation of indivisible resources using the well-established framework of differential privacy.…

Computer Science and Game Theory · Computer Science 2025-06-17 Pasin Manurangsi , Warut Suksompong

Many multiobjective real-world problems, such as facility location and bus routing, become more complex when optimizing the priorities of multiple stakeholders. These are often modeled using infinite classes of objectives, e.g., $L_p$ norms…

Data Structures and Algorithms · Computer Science 2025-10-24 Swati Gupta , Jai Moondra , Mohit Singh