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Related papers: Guaranteeing Envy-Freeness under Generalized Assig…

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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…

Computer Science and Game Theory · Computer Science 2021-06-03 Vishnu V. Narayan , Mashbat Suzuki , Adrian Vetta

Envy-freeness up to any good (EFX) provides a strong and intuitive guarantee of fairness in the allocation of indivisible goods. But whether such allocations always exist or whether they can be efficiently computed remains an important open…

Computer Science and Game Theory · Computer Science 2020-12-16 Hadi Hosseini , Sujoy Sikdar , Rohit Vaish , Lirong Xia

We study fair allocation of indivisible goods to agents with unequal entitlements. Fair allocation has been the subject of many studies in both divisible and indivisible settings. Our emphasis is on the case where the goods are indivisible…

Computer Science and Game Theory · Computer Science 2017-04-12 Alireza Farhadi , Mohammad Ghodsi , MohammadTaghi Hajiaghayi , Sebastien Lahaie , David Pennock , Masoud Seddighin , Saeed Seddighin , Hadi Yami

We study the fair allocation problem of indivisible items with subsidy. In this paper, we focus on the notion of fairness - equitability (EQ), which requires that items be allocated such that all agents value the bundle they receive…

Computer Science and Game Theory · Computer Science 2025-09-10 Yuanyuan Wang , Tianze Wei

We study the problem of fair and efficient allocation of a set of indivisible goods to agents with additive valuations using the popular fairness notions of envy-freeness up to one good (EF1) and equitability up to one good (EQ1) in…

Computer Science and Game Theory · Computer Science 2023-10-17 Jugal Garg , Aniket Murhekar

Ensuring fairness while limiting costs, such as transportation or storage, is an important challenge in resource allocation, yet most work has focused on cost minimization without fairness or fairness without explicit cost considerations.…

Computer Science and Game Theory · Computer Science 2026-01-19 Eva Deltl

We consider the problem of fair allocation of indivisible chores under additive valuations. We assume that the chores are divided into two types and under this scenario, we present several results. Our first result is a new characterization…

Computer Science and Game Theory · Computer Science 2023-05-25 Haris Aziz , Jeremy Lindsay , Angus Ritossa , Mashbat Suzuki

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…

Computer Science and Game Theory · Computer Science 2025-07-23 Telikepalli Kavitha , Surya Panchapakesan , Rohit Vaish , Vignesh Viswanathan , Jatin Yadav

We study fair division of indivisible mixed manna when agents have unequal entitlements, with weighted envy-freeness up to one item (WEF1) as our primary notion of fairness. We identify several shortcomings of existing techniques to achieve…

Computer Science and Game Theory · Computer Science 2024-10-18 Jugal Garg , Eklavya Sharma

We study envy-free allocations of indivisible goods to agents in settings where each agent is unaware of the goods allocated to other agents. In particular, we propose the maximin aware (MMA) fairness measure, which guarantees that every…

Computer Science and Game Theory · Computer Science 2019-10-29 Hau Chan , Jing Chen , Bo Li , Xiaowei Wu

We study fairness in the allocation of discrete goods. Exactly fair (envy-free) allocations are impossible, so we discuss notions of approximate fairness. In particular, we focus on allocations in which the swap of two items serves to…

Theoretical Economics · Economics 2025-08-14 Federico Echenique , Sumit Goel , SangMok Lee

We study fair allocation of indivisible goods and chores among agents with \emph{lexicographic} preferences -- a subclass of additive valuations. In sharp contrast to the goods-only setting, we show that an allocation satisfying…

Computer Science and Game Theory · Computer Science 2022-03-15 Hadi Hosseini , Sujoy Sikdar , Rohit Vaish , Lirong Xia

We study fair division of indivisible mixed manna (items whose values may be positive, negative, or zero) among agents with additive valuations. Here, we establish that fairness -- in terms of a relaxation of envy-freeness -- and Pareto…

Computer Science and Game Theory · Computer Science 2025-10-16 Siddharth Barman , Vishwa Prakash HV , Aditi Sethia , Mashbat Suzuki

We analyze the run-time complexity of computing allocations that are both fair and maximize the utilitarian social welfare, defined as the sum of agents' utilities. We focus on two tractable fairness concepts: envy-freeness up to one item…

Computer Science and Game Theory · Computer Science 2024-09-23 Haris Aziz , Xin Huang , Nicholas Mattei , Erel Segal-Halevi

We study the fair allocation of indivisible goods among agents, with a focus on limiting envy. A central open question in this area is the existence of EFX allocations-allocations in which any envy of any agent i towards any agent j…

Computer Science and Game Theory · Computer Science 2025-12-29 Mahyar Afshinmehr , Arash Ashuri , Pouria Mahmoudkhan , Kurt Mehlhorn

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…

Computer Science and Game Theory · Computer Science 2021-09-29 Ankang Sun , Bo Chen , Xuan Vinh Doan

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…

Computer Science and Game Theory · Computer Science 2026-02-10 Aris Filos-Ratsikas , Georgios Kalantzis , Alexandros A. Voudouris

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,…

Theoretical Economics · Economics 2022-04-15 Sophie Bade , Erel Segal-Halevi

The theory of algorithmic fair allocation is within the center of multi-agent systems and economics in the last decade due to its industrial and social importance. At a high level, the problem is to assign a set of items that are either…

Computer Science and Game Theory · Computer Science 2022-02-18 Haris Aziz , Bo Li , Herve Moulin , Xiaowei Wu

We study the problem of allocating $m$ indivisible items to $n$ agents with additive utilities. It is desirable for the allocation to be both fair and efficient, which we formalize through the notions of envy-freeness and Pareto-optimality.…

Computer Science and Game Theory · Computer Science 2024-05-08 Yushi Bai , Paul Gölz
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