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Envy-freeness is one of the most widely studied notions in fair division. Since envy-free allocations do not always exist when items are indivisible, several relaxations have been considered. Among them, possibly the most compelling concept…

计算机科学与博弈论 · 计算机科学 2021-07-27 Ryoga Mahara

The existence of EFX allocations is one of the most significant open questions in fair division. Recent work by Christodolou, Fiat, Koutsoupias, and Sgouritsa ("Fair allocation in graphs", EC 2023) establishes the existence of EFX…

计算机科学与博弈论 · 计算机科学 2024-12-10 Umang Bhaskar , Yeshwant Pandit

We study fair division of indivisible items under a variable input setting, where the set of agents or items may change over time. Starting from an arbitrary allocation, the goal is to restore envy-freeness up to one item (EF1) through item…

计算机科学与博弈论 · 计算机科学 2026-04-28 Harish Chandramouleeswaran , Prajakta Nimbhorkar , Nidhi Rathi

We study fair allocation of indivisible goods among additive agents with feasibility constraints. In these settings, every agent is restricted to get a bundle among a specified set of feasible bundles. Such scenarios have been of great…

计算机科学与博弈论 · 计算机科学 2022-04-26 Amitay Dror , Michal Feldman , Erel Segal-Halevi

We initiate the study of fair distribution of delivery tasks among a set of agents wherein delivery jobs are placed along the vertices of a graph. Our goal is to fairly distribute delivery costs (modeled as a submodular function) among a…

计算机科学与博弈论 · 计算机科学 2025-06-23 Hadi Hosseini , Shivika Narang , Tomasz Wąs

We study the fair division of indivisible goods with conflicts between pairs of goods, represented by a graph $G = (V, E)$. We consider ``soft'' conflicts: assigning two adjacent goods to the same agent is allowed, but we seek allocations…

计算机科学与博弈论 · 计算机科学 2026-02-25 Hirotaka Yoneda , Masataka Yoneda

We study fair allocation of indivisible chores (i.e., items with non-positive value) among agents with additive valuations. An allocation is deemed fair if it is (approximately) equitable, which means that the disutilities of the agents are…

计算机科学与博弈论 · 计算机科学 2020-02-27 Rupert Freeman , Sujoy Sikdar , Rohit Vaish , Lirong Xia

We study classic fair-division problems in a partial information setting. This paper respectively addresses fair division of rent, cake, and indivisible goods among agents with cardinal preferences. We will show that, for all of these…

计算机科学与博弈论 · 计算机科学 2018-11-28 Eshwar Ram Arunachaleswaran , Siddharth Barman , Nidhi Rathi

Several fairness concepts have been proposed recently in attempts to approximate envy-freeness in settings with indivisible goods. Among them, the concept of envy-freeness up to any item (EFX) is arguably the closest to envy-freeness.…

计算机科学与博弈论 · 计算机科学 2019-02-13 Ioannis Caragiannis , Nick Gravin , Xin Huang

The existence of EFX allocations is a central open problem in discrete fair division. An allocation is EFX (envy-free up to any good) if no agent envies another agent after the removal of any single good from the other agent's bundle. We…

计算机科学与博弈论 · 计算机科学 2026-05-15 Hannaneh Akrami , Alexander Mayorov , Kurt Mehlhorn , Shreyas Srinivas , Christoph Weidenbach

Fair allocation of indivisible goods is a fundamental problem at the interface of economics and computer science. Traditional approaches focus either on randomized allocations that are fair in expectation or deterministic allocations that…

计算机科学与博弈论 · 计算机科学 2025-07-23 Telikepalli Kavitha , Surya Panchapakesan , Rohit Vaish , Vignesh Viswanathan , Jatin Yadav

We study the problem of fairly allocating indivisible goods and chores under category constraints. Specifically, there are $n$ agents and $m$ indivisible items which are partitioned into categories with associated capacities. An allocation…

计算机科学与博弈论 · 计算机科学 2026-04-21 Ayumi Igarashi , Frédéric Meunier

We here address the problem of fairly allocating indivisible goods or chores to $n$ agents with weights that define their entitlement to the set of indivisible resources. Stemming from well-studied fairness concepts such as envy-freeness up…

计算机科学与博弈论 · 计算机科学 2023-12-19 MohammadTaghi Hajiaghayi , Max Springer , Hadi Yami

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…

计算机科学与博弈论 · 计算机科学 2012-04-20 Avital Gutman , Noam Nisan

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…

计算机科学与博弈论 · 计算机科学 2023-12-12 Georgios Amanatidis , Georgios Birmpas , Federico Fusco , Philip Lazos , Stefano Leonardi , Rebecca Reiffenhäuser

We formulate the problem of fair and efficient completion of indivisible goods, defined as follows: Given a partial allocation of indivisible goods among agents, does there exist an allocation of the remaining goods (i.e., a completion)…

计算机科学与博弈论 · 计算机科学 2024-12-30 Vishwa Prakash HV , Ayumi Igarashi , Rohit Vaish

We study the fundamental problem of fairly dividing a set of indivisible goods among agents with additive valuations. Here, envy-freeness up to any good (EFX) is a central fairness notion and resolving its existence is regarded as one of…

计算机科学与博弈论 · 计算机科学 2026-02-13 Hannaneh Akrami , Ryoga Mahara , Kurt Mehlhorn , Nidhi Rathi

We study fair allocation of constrained resources, where a market designer optimizes overall welfare while maintaining group fairness. In many large-scale settings, utilities are not known in advance, but are instead observed after…

计算机科学与博弈论 · 计算机科学 2024-11-06 Elita Lobo , Justin Payan , Cyrus Cousins , Yair Zick

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.…

计算机科学与博弈论 · 计算机科学 2025-11-11 Hadi Hosseini , Sanjukta Roy , Aditi Sethia

We study the problem of computing \emph{fair} divisions of a set of indivisible goods among agents with \emph{additive} valuations. For the past many decades, the literature has explored various notions of fairness, that can be primarily…

计算机科学与博弈论 · 计算机科学 2025-01-22 Hannaneh Akrami , Nidhi Rathi