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We study the fair allocation of mixtures of indivisible goods and chores under lexicographic preferences$\unicode{x2014}$a subdomain of additive preferences. A prominent fairness notion for allocating indivisible items is envy-freeness up…

计算机科学与博弈论 · 计算机科学 2023-05-08 Hadi Hosseini , Aghaheybat Mammadov , Tomasz Wąs

We study the problem of fairly allocating indivisible goods to agents in an online setting, where goods arrive sequentially and must be allocated irrevocably. Focusing on the popular fairness notions of envy-freeness, proportionality, and…

计算机科学与博弈论 · 计算机科学 2026-05-29 Tzeh Yuan Neoh , Jannik Peters , Nicholas Teh

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…

计算机科学与博弈论 · 计算机科学 2020-01-01 Erel Segal-Halevi , Warut Suksompong

This work addresses fair allocation of indivisible items in settings wherein it is feasible to create copies of resources or dispose of tasks. We establish that exact maximin share (MMS) fairness can be achieved via limited duplication of…

计算机科学与博弈论 · 计算机科学 2025-03-18 Siddharth Barman , Satyanand Rammohan , Aditi Sethia

Recent studies on disparate impact in machine learning applications have sparked a debate around the concept of fairness along with attempts to formalize its different criteria. Many of these approaches focus on reducing prediction errors…

计算机与社会 · 计算机科学 2018-10-22 Ansh Patel

In this paper, we study how to fairly allocate m indivisible chores to n (asymmetric) agents. We consider (weighted) proportionality up to any item (PROPX) and show that a (weighted) PROPX allocation always exists and can be computed…

计算机科学与博弈论 · 计算机科学 2021-11-01 Bo Li , Yingkai Li , Xiaowei Wu

We study the problem of assigning items to agents so as to maximize the \emph{weighted} Nash Social Welfare (NSW) under submodular valuations. The best-known result for the problem is an $O(nw_{\max})$-approximation due to Garg, Husic, Li,…

计算机科学与博弈论 · 计算机科学 2025-11-05 Yuda Feng , Yang Hu , Shi Li , Ruilong Zhang

We consider Max-min Share (MmS) allocations of items both in the case where items are goods (positive utility) and when they are chores (negative utility). We show that fair allocations of goods and chores have some fundamental connections…

计算机科学与博弈论 · 计算机科学 2016-04-07 Haris Aziz , Gerhard Rauchecker , Guido Schryen , Toby Walsh

We study an online fair division setting, where goods arrive one at a time and there is a fixed set of $n$ agents, each of whom has an additive valuation function over the goods. Once a good appears, the value each agent has for it is…

计算机科学与博弈论 · 计算机科学 2025-05-29 Georgios Amanatidis , Alexandros Lolos , Evangelos Markakis , Victor Turmel

We propose a deep neural network-based solution to the problem of allocating indivisible goods under additive subjective valuations without monetary transfers, trading off economic efficiency with envy-based fairness. We introduce…

计算机科学与博弈论 · 计算机科学 2026-02-02 Chris Mascioli , Satyam Goyal , Mithun Chakraborty

We consider the problem of locating a facility to serve a set of agents located along a line. The Nash welfare objective function, defined as the product of the agents' utilities, is known to provide a compromise between fairness and…

计算机科学与博弈论 · 计算机科学 2023-10-09 Alexander Lam , Haris Aziz , Toby Walsh

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

Equitability (EQ) in fair division requires that items be allocated such that all agents value the bundle they receive equally. With indivisible items, an equitable allocation may not exist, and hence we instead consider a meaningful…

计算机科学与博弈论 · 计算机科学 2023-12-13 Siddharth Barman , Umang Bhaskar , Yeshwant Pandit , Soumyajit Pyne

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

Envy-freeness up to any good (EFX) is a central fairness notion for allocating indivisible goods, yet its existence is unresolved in general. In the setting with few surplus items, where the number of goods exceeds the number of agents by a…

计算机科学与博弈论 · 计算机科学 2026-01-21 Eugene Lim , Tzeh Yuan Neoh , Nicholas Teh

Schelling's model considers $k$ types of agents each of whom needs to select a vertex on an undirected graph, where every agent prefers to neighbor agents of the same type. We are motivated by a recent line of work that studies solutions…

数据结构与算法 · 计算机科学 2022-01-19 Argyrios Deligkas , Eduard Eiben , Tiger-Lily Goldsmith

We consider the problem of allocating a set on indivisible items to players with private preferences in an efficient and fair way. We focus on valuations that have dichotomous marginals, in which the added value of any item to a set is…

计算机科学与博弈论 · 计算机科学 2020-12-25 Moshe Babaioff , Tomer Ezra , Uriel Feige

We study fair division of indivisible chores among $n$ agents with additive cost functions using the popular fairness notion of maximin share (MMS). Since MMS allocations do not always exist for more than two agents, the goal has been to…

计算机科学与博弈论 · 计算机科学 2024-11-08 Jugal Garg , Xin Huang , Erel Segal-Halevi

In this paper, we consider the problem of fair division of indivisible goods when the allocation of goods impacts society. Specifically, we introduce a second valuation function for each agent, determining the social impact of allocating a…

计算机科学与博弈论 · 计算机科学 2024-12-20 Michele Flammini , Gianluigi Greco , Giovanna Varricchio

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
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