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We study fair division of goods under the broad class of generalized assignment constraints. In this constraint framework, the sizes and values of the goods are agent-specific, and one needs to allocate the goods among the agents fairly…

计算机科学与博弈论 · 计算机科学 2023-05-03 Siddharth Barman , Arindam Khan , Sudarshan Shyam , K. V. N. Sreenivas

We study a resource allocation setting where $m$ discrete items are to be divided among $n$ agents with additive utilities, and the agents' utilities for individual items are drawn at random from a probability distribution. Since common…

计算机科学与博弈论 · 计算机科学 2023-03-20 Pasin Manurangsi , Warut Suksompong

We study several fairness notions in allocating indivisible chores (i.e., items with non-positive values) to agents who have additive and submodular cost functions. The fairness criteria we are concern with are envy-free up to any item…

计算机科学与博弈论 · 计算机科学 2021-09-29 Ankang Sun , Bo Chen , Xuan Vinh Doan

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

Envy-freeness is a standard benchmark of fairness in resource allocation. Since it cannot always be satisfied when the resource consists of indivisible items even when there are two agents, the relaxations envy-freeness up to one item (EF1)…

计算机科学与博弈论 · 计算机科学 2020-07-07 Warut Suksompong

We study the problem of fairly allocating indivisible items and a desirable heterogeneous divisible good (i.e., cake) to agents with additive utilities. In our paper, each indivisible item can be a good that yields non-negative utilities to…

计算机科学与博弈论 · 计算机科学 2025-11-10 Haris Aziz , Xinhang Lu , Simon Mackenzie , Mashbat Suzuki

Fair allocation of indivisible goods is a well-explored problem. Traditionally, research focused on individual fairness - are individual agents satisfied with their allotted share? - and group fairness - are groups of agents treated fairly?…

计算机科学与博弈论 · 计算机科学 2023-02-15 Jonathan Scarlett , Nicholas Teh , Yair Zick

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 study a fair allocation problem of indivisible items under additive externalities in which each agent also receives values from items that are assigned to other agents. We propose several new fairness concepts. We extend the well-studied…

计算机科学与博弈论 · 计算机科学 2022-12-01 Haris Aziz , Warut Suksompong , Zhaohong Sun , Toby Walsh

We study the problem of fairly allocating a multiset $M$ of $m$ indivisible items among $n$ agents with additive valuations. Specifically, we introduce a parameter $t$ for the number of distinct types of items and study fair allocations of…

计算机科学与博弈论 · 计算机科学 2023-03-30 Pranay Gorantla , Kunal Marwaha , Santhoshini Velusamy

The classic fair division problems assume the resources to be allocated are either divisible or indivisible, or contain a mixture of both, but the agents always have a predetermined and uncontroversial agreement on the (in)divisibility of…

计算机科学与博弈论 · 计算机科学 2025-03-31 Xiaohui Bei , Shengxin Liu , Xinhang Lu

The problem of allocating indivisible resources to agents arises in a wide range of domains, including treatment distribution and social support programs. An important goal in algorithm design for this problem is fairness, where the focus…

计算机科学与博弈论 · 计算机科学 2026-02-17 Niclas Boehmer , Luca Kreisel

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

We study the problem of fairly and efficiently allocating a set of items among strategic agents with additive valuations, where items are either all indivisible or all divisible. When items are goods, numerous positive and negative results…

计算机科学与博弈论 · 计算机科学 2025-07-08 Bo Li , Biaoshuai Tao , Fangxiao Wang , Xiaowei Wu , Mingwei Yang , Shengwei Zhou

We consider a practically motivated variant of the canonical online fair allocation problem: a decision-maker has a budget of perishable resources to allocate over a fixed number of rounds. Each round sees a random number of arrivals, and…

最优化与控制 · 数学 2026-04-03 Siddhartha Banerjee , Chamsi Hssaine , Sean R. Sinclair

We consider the problem of resolving the envy of a given initial allocation by adding elements from a pool of goods. We give a characterization of the instances where envy can be resolved by adding an arbitrary number of copies of the items…

计算机科学与博弈论 · 计算机科学 2025-08-13 Matthias Bentert , Robert Bredereck , Eva Deltl , Pallavi Jain , Leon Kellerhals

This paper explores the fair allocation of indivisible items in a multidimensional setting, motivated by the need to address fairness in complex environments where agents assess bundles according to multiple criteria. Such multidimensional…

计算机科学与博弈论 · 计算机科学 2025-06-30 Yasushi Kawase , Bodhayan Roy , Mohammad Azharuddin Sanpui

We study the problem of finding fair and efficient allocations of a set of indivisible items to a set of agents, where each item may be a good (positively valued) for some agents and a bad (negatively valued) for others, i.e., a mixed…

计算机科学与博弈论 · 计算机科学 2022-02-08 Vasilis Livanos , Ruta Mehta , Aniket Murhekar

We study a discrete fair division problem where $n$ agents have additive valuation functions over a set of $m$ goods. We focus on the well-known $\alpha$-EFX fairness criterion, according to which the envy of an agent for another agent is…

计算机科学与博弈论 · 计算机科学 2026-02-10 Aris Filos-Ratsikas , Georgios Kalantzis , Alexandros A. Voudouris

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