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Related papers: Two-Sided Fairness in Many-to-One Matching

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We study a fair division setting in which participants are to be fairly distributed among teams, where not only do the teams have preferences over the participants as in the canonical fair division setting, but the participants also have…

Computer Science and Game Theory · Computer Science 2024-08-27 Ayumi Igarashi , Yasushi Kawase , Warut Suksompong , Hanna Sumita

House Allocations concern with matchings involving one-sided preferences, where houses serve as a proxy encoding valuable indivisible resources (e.g. organs, course seats, subsidized public housing units) to be allocated among the agents.…

Computer Science and Game Theory · Computer Science 2025-11-11 Hadi Hosseini , Sanjukta Roy , Aditi Sethia

We introduce a new model for two-sided matching which allows us to borrow popular fairness notions from the fair division literature such as envy-freeness up to one good and maximin share guarantee. In our model, each agent is matched to…

Computer Science and Game Theory · Computer Science 2021-07-16 Rupert Freeman , Evi Micha , Nisarg Shah

We study the probabilistic assignment of items to platforms that satisfies both group and individual fairness constraints. Each item belongs to specific groups and has a preference ordering over platforms. Each platform enforces group…

Artificial Intelligence · Computer Science 2024-05-13 Atasi Panda , Anand Louis , Prajakta Nimbhorkar

The theory of two-sided matching has been extensively developed and applied to many real-life application domains. As the theory has been applied to increasingly diverse types of environments, researchers and practitioners have encountered…

Computer Science and Game Theory · Computer Science 2024-02-05 Sung-Ho Cho , Kei Kimura , Kiki Liu , Kwei-guu Liu , Zhengjie Liu , Zhaohong Sun , Kentaro Yahiro , Makoto Yokoo

We study the fair division of items to agents supposing that agents can form groups. We thus give natural generalizations of popular concepts such as envy-freeness and Pareto efficiency to groups of fixed sizes. Group envy-freeness requires…

Computer Science and Game Theory · Computer Science 2020-06-30 Martin Aleksandrov , Toby Walsh

We study the classic problem of dividing a collection of indivisible resources in a fair and efficient manner among a set of agents having varied preferences. Pareto optimality is a standard notion of economic efficiency, which states that…

Computer Science and Game Theory · Computer Science 2023-07-25 Ioannis Caragiannis , Kristoffer Arnsfelt Hansen , Nidhi Rathi

Team assembly is a problem that demands trade-offs between multiple fairness criteria and computational optimization. We focus on four criteria: (i) fair distribution of workloads within the team, (ii) fair distribution of skills and…

Databases · Computer Science 2023-06-27 Rodrigo Borges , Otto Sahlgrens , Sami Koivunen , Kostas Stefanidis , Thomas Olsson , Arto Laitinen

We initiate the study of multi-layered cake cutting with the goal of fairly allocating multiple divisible resources (layers of a cake) among a set of agents. The key requirement is that each agent can only utilize a single resource at each…

Computer Science and Game Theory · Computer Science 2020-04-29 Hadi Hosseini , Ayumi Igarashi , Andrew Searns

We propose a new fairness notion, motivated by the practical challenge of allocating teaching assistants (TAs) to courses in a department. Each course requires a certain number of TAs and each TA has preferences over the courses they want…

Computer Science and Game Theory · Computer Science 2025-04-15 Pallavi Jain , Palash Jha , Shubham Solanki

We consider the age-old problem of allocating items among different agents in a way that is efficient and fair. Two papers, by Dolev et al. and Ghodsi et al., have recently studied this problem in the context of computer systems. Both…

Computer Science and Game Theory · Computer Science 2012-04-20 Avital Gutman , Noam Nisan

The standard two-sided and one-sided matching problems, and the closely related school choice problem, have been widely studied from an axiomatic viewpoint. A small number of algorithms dominate the literature. For two-sided matching, the…

Computer Science and Game Theory · Computer Science 2017-03-14 Jacky Lo , Mark C. Wilson

A two-sided market consists of two sets of agents, each of whom have preferences over the other (Airbnb, Upwork, Lyft, Uber, etc.). We propose and analyze a repeated matching problem, where some set of matches occur on each time step, and…

Computer Science and Game Theory · Computer Science 2020-09-22 Sreenivas Gollapudi , Kostas Kollias , Benjamin Plaut

There are growing concerns that algorithms, which increasingly make or influence important decisions pertaining to individuals, might produce outcomes that discriminate against protected groups. We study such fairness concerns in the…

Computers and Society · Computer Science 2021-11-23 Gili Karni , Guy N. Rothblum , Gal Yona

Fair division mechanisms for indivisible goods require agent orderings to deterministically select one allocation when running the algorithm in practice. We introduce position envy-freeness up to one good (PEF1) as a fairness criterion for…

Computer Science and Game Theory · Computer Science 2025-11-18 Ryoga Mahara , Ryuhei Mizutani , Taihei Oki , Tomohiko Yokoyama

A matching in a bipartite graph with parts X and Y is called envy-free if no unmatched vertex in X is a adjacent to a matched vertex in Y. Every perfect matching is envy-free, but envy-free matchings exist even when perfect matchings do…

Data Structures and Algorithms · Computer Science 2022-04-15 Elad Aigner-Horev , Erel Segal-Halevi

We study the problem of allocating indivisible goods among agents with additive valuation functions to achieve both fairness and efficiency under the constraint that each agent receives exactly the same number of goods (the \emph{balanced…

Computer Science and Game Theory · Computer Science 2026-03-09 Yasushi Kawase , Ryoga Mahara

The problem of dividing resources fairly occurs in many practical situations and is therefore an important topic of study in economics. In this paper, we investigate envy-free divisions in the setting where there are multiple players in…

Computer Science and Game Theory · Computer Science 2020-01-17 Pasin Manurangsi , Warut Suksompong

We consider the fair division problem of indivisible items. It is well-known that an envy-free allocation may not exist, and a relaxed version of envy-freeness, envy-freeness up to one item (EF1), has been widely considered. In an EF1…

Computer Science and Game Theory · Computer Science 2022-11-30 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

We focus on the one-to-one two-sided matching model with two disjoint sets of agents of equal size, where each agent in a set has preferences on the agents in the other set modeled by a linear order. A matching mechanism associates a set of…

Theoretical Economics · Economics 2024-11-27 Daniela Bubboloni , Michele Gori , Claudia Meo
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