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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 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…

计算机科学与博弈论 · 计算机科学 2022-10-03 Steven Yin , Christian Kroer

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…

计算机科学与博弈论 · 计算机科学 2020-04-29 Hadi Hosseini , Ayumi Igarashi , Andrew Searns

Fair division of indivisible items is a well-studied topic in Economics and Computer Science. The objective is to allocate items to agents in a fair manner, where each agent has a valuation for each subset of items. Envy-freeness is one of…

计算机科学与博弈论 · 计算机科学 2025-02-13 Ryoga Mahara

We consider the problem of fairly and efficiently allocating indivisible items (goods or bads) under capacity constraints. In this setting, we are given a set of categorized items. Each category has a capacity constraint (the same for all…

计算机科学与博弈论 · 计算机科学 2023-03-01 Hila Shoshan , Erel Segal-Halevi , Noam Hazon

The problem of fairly allocating a set of indivisible items is a well-known challenge in the field of (computational) social choice. In this scenario, there is a fundamental incompatibility between notions of fairness (such as envy-freeness…

计算机科学与博弈论 · 计算机科学 2023-12-21 Ayumi Igarashi , Martin Lackner , Oliviero Nardi , Arianna Novaro

We study mechanisms for an allocation of goods among agents, where agents have no incentive to lie about their true values (incentive compatible) and for which no agent will seek to exchange outcomes with another (envy-free). Mechanisms…

计算机科学与博弈论 · 计算机科学 2010-03-30 Edith Cohen , Michal Feldman , Amos Fiat , Haim Kaplan , Svetlana Olonetsky

In standard fair division models, we assume that all agents are selfish. However, in many scenarios, division of resources has a direct impact on the whole group or even society. Therefore, we study fair allocations of indivisible items…

计算机科学与博弈论 · 计算机科学 2025-11-13 Argyris Deligkas , Eduard Eiben , Tiger-Lily Goldsmith , Dušan Knop , Šimon Schierreich

We revisit the setting of fair allocation of indivisible items among agents with heterogeneous, non-monotone valuations. We explore the existence and efficient computation of allocations that approximately satisfy either envy-freeness or…

计算机科学与博弈论 · 计算机科学 2025-10-09 Vittorio Bilò , Martin Loebl , Cosimo Vinci

In fair division of indivisible goods, using sequences of sincere choices (or picking sequences) is a natural way to allocate the objects. The idea is as follows: at each stage, a designated agent picks one object among those that remain.…

人工智能 · 计算机科学 2018-08-01 Aurélie Beynier , Sylvain Bouveret , Michel Lemaître , Nicolas Maudet , Simon Rey

We consider the problem of fair allocation of indivisible goods to agents with submodular valuation functions, where agents may have either equal entitlements or arbitrary (possibly unequal) entitlements. We focus on share-based fairness…

计算机科学与博弈论 · 计算机科学 2023-03-23 Gilad Ben Uziahu , Uriel Feige

We consider the problem of sharing a set of indivisible goods among agents in a fair manner, namely such that the allocation is envy-free up to any good (EFX). We focus on the problem of computing an EFX allocation in the two-agent case and…

计算机科学与博弈论 · 计算机科学 2023-07-18 Paul W. Goldberg , Kasper Høgh , Alexandros Hollender

We investigate whether fairness is compatible with efficiency in economies with multi-self agents, who may not be able to integrate their multiple objectives into a single complete and transitive ranking. We adapt envy-freeness,…

理论经济学 · 经济学 2022-04-15 Sophie Bade , Erel Segal-Halevi

We investigate the query complexity of the fair allocation of indivisible goods. For two agents with arbitrary monotonic utilities, we design an algorithm that computes an allocation satisfying envy-freeness up to one good (EF1), a…

计算机科学与博弈论 · 计算机科学 2023-03-20 Hoon Oh , Ariel D. Procaccia , Warut Suksompong

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 study the problem of finding approximate envy-free allocations up to any $k$ goods ($\alpha$-EFkX), when agents have additive values over goods in a bundle. As our main result, we show that for any $k>2$, $\frac{k+1}{k+2}$-EFkX…

计算机科学与博弈论 · 计算机科学 2026-05-12 Aris Filos-Ratsikas , Georgios Kalantzis , Fangxiao Wang

Envy-freeness up to one good (EF1) is a well-studied fairness notion for indivisible goods that addresses pairwise envy by the removal of at most one good. In the worst case, each pair of agents might require the (hypothetical) removal of a…

计算机科学与博弈论 · 计算机科学 2020-03-11 Hadi Hosseini , Sujoy Sikdar , Rohit Vaish , Jun Wang , Lirong Xia

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…

计算机科学与博弈论 · 计算机科学 2025-10-08 Rohith Reddy Gangam , Shayan Taherijam , Vijay V. Vazirani

Fair division of indivisible goods is a central challenge in artificial intelligence. For many prominent fairness criteria including envy-freeness (EF) or proportionality (PROP), no allocations satisfying these criteria might exist. Two…

计算机科学与博弈论 · 计算机科学 2022-09-09 Martin Hoefer , Marco Schmalhofer , Giovanna Varricchio

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