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We study the problem of fairly allocating either a set of indivisible goods or a set of mixed divisible and indivisible goods (i.e., mixed goods) to agents with additive utilities, taking the best-of-both-worlds perspective of guaranteeing…

计算机科学与博弈论 · 计算机科学 2024-10-25 Xiaolin Bu , Zihao Li , Shengxin Liu , Xinhang Lu , Biaoshuai Tao

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

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

We consider the problem of fairly allocating a set of indivisible goods among agents with additive valuations. Ex-ante fairness (proportionality) can trivially be obtained by giving all goods to a random agent. Yet, such an allocation is…

计算机科学与博弈论 · 计算机科学 2026-01-26 Moshe Babaioff , Yuval Grofman

We consider the problem of fairly dividing indivisible goods among agents with additive valuations. It is known that an Epistemic EFX and $2/3$-MMS allocation can be obtained using the Envy-Cycle-Elimination (ECE) algorithm. In this work,…

计算机科学与博弈论 · 计算机科学 2024-10-14 Jugal Garg , Eklavya Sharma

Fair division of indivisible goods is a very well-studied problem. The goal of this problem is to distribute $m$ goods to $n$ agents in a "fair" manner, where every agent has a valuation for each subset of goods. We assume general…

计算机科学与博弈论 · 计算机科学 2020-02-25 Bhaskar Ray Chaudhury , Tellikepalli Kavitha , Kurt Mehlhorn , Alkmini Sgouritsa

We study the problem of allocating a set of indivisible goods among agents with subadditive valuations in a fair and efficient manner. Envy-Freeness up to any good (EFX) is the most compelling notion of fairness in the context of…

计算机科学与博弈论 · 计算机科学 2020-08-18 Bhaskar Ray Chaudhury , Jugal Garg , Ruta Mehta

Fair division has emerged as a very hot topic in multiagent systems, and envy-freeness is among the most compelling fairness concepts. An allocation of indivisible items to agents is envy-free if no agent prefers the bundle of any other…

计算机科学与博弈论 · 计算机科学 2021-02-26 Ioannis Caragiannis , Stavros Ioannidis

Envy-free up to one good (EF1) and envy-free up to any good (EFX) are two well-known extensions of envy-freeness for the case of indivisible items. It is shown that EF1 can always be guaranteed for agents with subadditive valuations. In…

计算机科学与博弈论 · 计算机科学 2020-07-15 Alireza Farhadi , MohammadTaghi Hajiaghayi , Mohamad Latifian , Masoud Seddighin , Hadi Yami

We consider the classic problem of fairly allocating indivisible goods among agents with additive valuation functions and explore the connection between two prominent fairness notions: maximum Nash welfare (MNW) and envy-freeness up to any…

计算机科学与博弈论 · 计算机科学 2022-09-12 Georgios Amanatidis , Georgios Birmpas , Aris Filos-Ratsikas , Alexandros Hollender , Alexandros A. Voudouris

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…

计算机科学与博弈论 · 计算机科学 2020-09-17 Maria Kyropoulou , Warut Suksompong , Alexandros A. Voudouris

We study the question of dividing a collection of indivisible goods amongst a set of agents. The main objective of research in the area is to achieve one of two goals: fairness or efficiency. On the fairness side, envy-freeness is the…

计算机科学与博弈论 · 计算机科学 2021-06-03 Vishnu V. Narayan , Mashbat Suzuki , Adrian Vetta

We propose a notion of fairness for allocation problems in which different agents may have different reservation utilities, stemming from different outside options, or property rights. Fairness is usually understood as the absence of envy,…

理论经济学 · 经济学 2020-05-12 Federico Echenique , Antonio Miralles , Jun Zhang

Fairly dividing a set of indivisible resources to a set of agents is of utmost importance in some applications. However, after an allocation has been implemented the preferences of agents might change and envy might arise. We study the…

计算机科学与博弈论 · 计算机科学 2022-02-04 Niclas Boehmer , Robert Bredereck , Klaus Heeger , Dušan Knop , Junjie Luo

We study the problem of allocating indivisible items to budget-constrained agents, aiming to provide fairness and efficiency guarantees. Specifically, our goal is to ensure that the resulting allocation is envy-free up to any item (EFx)…

计算机科学与博弈论 · 计算机科学 2023-08-04 Marius Garbea , Vasilis Gkatzelis , Xizhi Tan

Equitability is a well-studied fairness notion in fair division, where an allocation is equitable if all agents receive equal utility from their allocation. For indivisible items, an exactly equitable allocation may not exist, and a natural…

计算机科学与博弈论 · 计算机科学 2025-05-12 Umang Bhaskar , Vishwa Prakash HV , Aditi Sethia , Rakshitha

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…

计算机科学与博弈论 · 计算机科学 2023-07-25 Ioannis Caragiannis , Kristoffer Arnsfelt Hansen , Nidhi Rathi

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…

计算机科学与博弈论 · 计算机科学 2023-03-20 Siddharth Barman , Arindam Khan , Sudarshan Shyam , K. V. N. Sreenivas

We study the problem of fairly and truthfully allocating $m$ indivisible items to $n$ agents with additive preferences. Specifically, we consider truthful mechanisms outputting allocations that satisfy EF$^{+u}_{-v}$, where, in an…

计算机科学与博弈论 · 计算机科学 2025-12-08 Xiaolin Bu , Biaoshuai Tao

We study the fair allocation of indivisible goods under cardinality constraints, where each agent must receive a bundle of fixed size. This models practical scenarios, such as assigning shifts or forming equally sized teams. Recently,…

计算机科学与博弈论 · 计算机科学 2025-07-29 Alviona Mancho , Evangelos Markakis , Nicos Protopapas
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