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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

We study the fair allocation of indivisible resources among agents. Most prior work focuses on fairness and/or efficiency among agents. However, the allocator, as the resource owner, may also be involved in many scenarios (e.g., government…

Computer Science and Game Theory · Computer Science 2025-06-10 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

We consider the problem of allocating a distribution of items to $n$ recipients where each recipient has to be allocated a fixed, prespecified fraction of all items, while ensuring that each recipient does not experience too much envy. We…

Computer Science and Game Theory · Computer Science 2022-10-03 Steven Yin , Christian Kroer

Envy-freeness is one of the most prominent fairness concepts in the allocation of indivisible goods. Even though trivial envy-free allocations always exist, rich literature shows this is not true when one additionally requires some…

Computer Science and Game Theory · Computer Science 2025-02-19 Robert Bredereck , Andrzej Kaczmarczyk , Junjie Luo , Bin Sun

We study the problem of fairly allocating $m$ indivisible goods to $n$ agents, where agents may have different preferences over the goods. In the traditional setting, agents' valuations are provided as inputs to the algorithm. In this…

Computer Science and Game Theory · Computer Science 2025-08-05 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

We consider a classic many-to-one matching setting, where participants need to be assigned to teams based on the preferences of both sides. Unlike most of the matching literature, we aim to provide fairness not only to participants, but…

Theoretical Economics · Economics 2025-09-30 Ayumi Igarashi , Naoyuki Kamiyama , Yasushi Kawase , Warut Suksompong , Hanna Sumita , Yu Yokoi

We study the classical rent division problem, where $n$ agents must allocate $n$ indivisible rooms and split a fixed total rent $R$. The goal is to compute an envy-free (EF) allocation, where no agent prefers another agent's room and rent…

Computer Science and Game Theory · Computer Science 2025-10-08 Rohith Reddy Gangam , Shayan Taherijam , Vijay V. Vazirani

We study a fair resource scheduling problem, where a set of interval jobs are to be allocated to heterogeneous machines controlled by agents. Each job is associated with release time, deadline, and processing time such that it can be…

Computer Science and Game Theory · Computer Science 2022-01-03 Bo Li , Minming Li , Ruilong Zhang

Classic cake-cutting algorithms enable people with different preferences to divide among them a heterogeneous resource (``cake''), such that the resulting division is fair according to each agent's individual preferences. However, these…

Computer Science and Game Theory · Computer Science 2021-08-06 Erel Segal-Halevi , Shmuel Nitzan , Avinatan Hassidim , Yonatan Aumann

We study the fairness of dynamic resource allocation problem under the $\alpha$-fairness criterion. We recognize two different fairness objectives that naturally arise in this problem: the well-understood slot-fairness objective that aims…

Computer Science and Game Theory · Computer Science 2022-11-18 T. Si-Salem , G. Iosifidis , G. Neglia

We study the problem of online dynamic pricing with two types of fairness constraints: a "procedural fairness" which requires the proposed prices to be equal in expectation among different groups, and a "substantive fairness" which requires…

Machine Learning · Computer Science 2022-09-27 Jianyu Xu , Dan Qiao , Yu-Xiang Wang

We investigate the tradeoffs between fairness and efficiency when allocating indivisible items over time. Suppose T items arrive over time and must be allocated upon arrival, immediately and irrevocably, to one of n agents. Agent i assigns…

Computer Science and Game Theory · Computer Science 2020-05-18 David Zeng , Alexandros Psomas

We study the problem of fairly allocating indivisible goods between groups of agents using the recently introduced relaxations of envy-freeness. We consider the existence of fair allocations under different assumptions on the valuations of…

Computer Science and Game Theory · Computer Science 2020-09-17 Maria Kyropoulou , Warut Suksompong , Alexandros A. Voudouris

Algorithmic decision making systems are ubiquitous across a wide variety of online as well as offline services. These systems rely on complex learning methods and vast amounts of data to optimize the service functionality, satisfaction of…

Machine Learning · Statistics 2017-03-27 Muhammad Bilal Zafar , Isabel Valera , Manuel Gomez Rodriguez , Krishna P. Gummadi

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

Priority-based allocation of individuals to positions are pervasive, and elimination of justified envy is often, an absolute requirement. This leaves serial dictatorship (SD) as the only rule that avoids justified envy under standard direct…

Theoretical Economics · Economics 2026-05-22 Inácio Bó , Gian Caspari , Manshu Khanna

We consider fair allocation of indivisible items under an additional constraint: there is an undirected graph describing the relationship between the items, and each agent's share must form a connected subgraph of this graph. This framework…

Computer Science and Game Theory · Computer Science 2017-06-07 Sylvain Bouveret , Katarína Cechlárová , Edith Elkind , Ayumi Igarashi , Dominik Peters

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

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 design online algorithms for the fair allocation of public goods to a set of $N$ agents over a sequence of $T$ rounds and focus on improving their performance using predictions. In the basic model, a public good arrives in each round,…

Computer Science and Game Theory · Computer Science 2022-10-03 Siddhartha Banerjee , Vasilis Gkatzelis , Safwan Hossain , Billy Jin , Evi Micha , Nisarg Shah