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We study the computational complexity of finding fair allocations of indivisible goods in the setting where a social network on the agents is given. Notions of fairness in this context are "localized", that is, agents are only concerned…

Computer Science and Game Theory · Computer Science 2021-11-24 Neeldhara Misra , Debanuj Nayak

We consider allocating indivisible chores among agents with different cost functions, such that all agents receive a cost of at most a constant factor times their maximin share. The state-of-the-art was presented in In EC 2021 by Huang and…

Computer Science and Game Theory · Computer Science 2024-09-04 Xin Huang , Erel Segal-Halevi

We study the problem of fair allocation of indivisible goods for subadditive agents. While constant-\textsf{MMS} bounds have been given for additive and fractionally subadditive agents, the best existential bound for the case of subadditive…

Computer Science and Game Theory · Computer Science 2025-06-09 Masoud Seddighin , Saeed Seddighin

We study the problem of fairly allocating indivisible goods to groups of agents. Agents in the same group share the same set of goods even though they may have different preferences. Previous work has focused on unanimous fairness, in which…

Computer Science and Game Theory · Computer Science 2020-01-01 Erel Segal-Halevi , Warut Suksompong

The Submodular Welfare Maximization problem (SWM) captures an important subclass of combinatorial auctions and has been studied extensively from both computational and economic perspectives. In particular, it has been studied in a natural…

Data Structures and Algorithms · Computer Science 2018-11-20 Niv Buchbinder , Moran Feldman , Yuval Filmus , Mohit Garg

We investigate fairness in the allocation of indivisible items among groups of agents using the notion of maximin share (MMS). While previous work has shown that no nontrivial multiplicative MMS approximation can be guaranteed in this…

Computer Science and Game Theory · Computer Science 2025-03-06 Pasin Manurangsi , Warut Suksompong

We consider the problem of fairly allocating a set of indivisible goods to a set of strategic agents with additive valuation functions. We assume no monetary transfers and, therefore, a mechanism in our setting is an algorithm that takes as…

Computer Science and Game Theory · Computer Science 2023-12-12 Georgios Amanatidis , Georgios Birmpas , Federico Fusco , Philip Lazos , Stefano Leonardi , Rebecca Reiffenhäuser

We study the fundamental problem of fairly allocating a multiset $\mathcal{M}$ of $t$ types of indivisible items among $d$ groups of agents, where all agents within a group have identical additive valuations. Gorantla et al. [GMV23] showed…

Computer Science and Game Theory · Computer Science 2026-03-09 Egor Gagushin , Marios Mertzanidis , Alexandros Psomas

We consider the problem of fair allocation of $m$ indivisible items to $n$ agents with monotone subadditive valuations. For integer $d \ge 2$, a $d$-multi-allocation is an allocation in which each item is allocated to at most $d$ different…

Computer Science and Game Theory · Computer Science 2025-06-27 Uriel Feige

We study the problem of fairly allocating indivisible goods among agents which are equipped with {\em leveled} valuation functions. Such preferences, that have been studied before in economics and fair division literature, capture a simple…

Computer Science and Game Theory · Computer Science 2025-02-17 George Christodoulou , Vasilis Christoforidis

We study the problem of fairly and efficiently allocating indivisible chores among agents with additive disutility functions. We consider the widely-used envy-based fairness properties of EF1 and EFX, in conjunction with the efficiency…

Computer Science and Game Theory · Computer Science 2023-10-17 Jugal Garg , Aniket Murhekar , John Qin

We consider fair allocation of a set $M$ of indivisible goods to $n$ equally-entitled agents, with no monetary transfers. Every agent $i$ has a valuation $v_i$ from some given class of valuation functions. A share $s$ is a function that…

Theoretical Economics · Economics 2022-05-17 Moshe Babaioff , Uriel Feige

In a web-based review platform, papers from various research fields must be assigned to a group of reviewers. Each paper has an inherent cost, which represents the effort required for reading and evaluating it (e.g., the paper's length).…

Computer Science and Game Theory · Computer Science 2026-03-20 Zehan Lin , Xiaowei Wu , Shengwei Zhou

We propose a distributed algorithm to solve a special distributed multi-resource allocation problem with no direct inter-agent communication. We do so by extending a recently introduced additive-increase multiplicative-decrease (AIMD)…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-07 Syed Eqbal Alam , Robert Shorten , Fabian Wirth , Jia Yuan Yu

Sequential allocation is a simple and widely studied mechanism to allocate indivisible items in turns to agents according to a pre-specified picking sequence of agents. At each turn, the current agent in the picking sequence picks its most…

Data Structures and Algorithms · Computer Science 2019-09-17 Mingyu Xiao , Jiaxing Ling

We study the problem of fair and efficient allocation of a set of indivisible chores to agents with additive cost functions. We consider the popular fairness notion of envy-freeness up to one good (EF1) with the efficiency notion of…

Computer Science and Game Theory · Computer Science 2021-10-20 Jugal Garg , Aniket Murhekar , John Qin

When dividing items among agents, two of the most widely studied fairness notions are envy-freeness and proportionality. We consider a setting where $m$ chores are allocated to $n$ agents and the disutility of each chore for each agent is…

Computer Science and Game Theory · Computer Science 2025-04-30 Pasin Manurangsi , Warut Suksompong

We study the problem of allocating $m$ indivisible items to $n$ agents with additive utilities. It is desirable for the allocation to be both fair and efficient, which we formalize through the notions of envy-freeness and Pareto-optimality.…

Computer Science and Game Theory · Computer Science 2024-05-08 Yushi Bai , Paul Gölz

We study the fair allocation of indivisible goods among agents with identical, additive valuations but individual budget constraints. Here, the indivisible goods--each with a specific size and value--need to be allocated such that the…

Computer Science and Game Theory · Computer Science 2023-03-20 Siddharth Barman , Arindam Khan , Sudarshan Shyam , K. V. N. Sreenivas

We study fair and economically efficient allocation of indivisible goods among agents whose valuations are rank functions of matroids. Such valuations constitute a well-studied class of submodular functions (i.e., they exhibit a diminishing…

Computer Science and Game Theory · Computer Science 2021-02-05 Siddharth Barman , Paritosh Verma