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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

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 study fair allocation of indivisible public goods subject to cardinality (budget) constraints. In this model, we have n agents and m available public goods, and we want to select $k \leq m$ goods in a fair and efficient manner. We first…

计算机科学与博弈论 · 计算机科学 2021-07-22 Jugal Garg , Pooja Kulkarni , Aniket Murhekar

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

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

We study the fair division of items to agents supposing that agents can form groups. We thus give natural generalizations of popular concepts such as envy-freeness and Pareto efficiency to groups of fixed sizes. Group envy-freeness requires…

计算机科学与博弈论 · 计算机科学 2020-06-30 Martin Aleksandrov , Toby Walsh

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 a fair division model in which agents have positive, zero and negative utilities for items. For this model, we analyse one existing fairness property - EFX - and three new and related properties - EFX$_0$, EFX$^3$ and EF1$^3$ -…

计算机科学与博弈论 · 计算机科学 2020-07-09 Martin Aleksandrov , Toby Walsh

We generalize the classic problem of fairly allocating indivisible goods to the problem of \emph{fair public decision making}, in which a decision must be made on several social issues simultaneously, and, unlike the classic setting, a…

计算机科学与博弈论 · 计算机科学 2017-06-01 Vincent Conitzer , Rupert Freeman , Nisarg Shah

A number of goods are called identical if they provide the same level of utility to each agent. In various real-world instances of fair division scenarios, identical indivisible items are allocated to consumers and demandants with different…

最优化与控制 · 数学 2026-05-28 Manouchehr Zaker

We study fair division of indivisible goods in a single-parameter environment. In particular, we develop truthful social welfare maximizing mechanisms for fairly allocating indivisible goods. Our fairness guarantees are in terms of solution…

计算机科学与博弈论 · 计算机科学 2019-01-29 Siddharth Barman , Ganesh Ghalme , Shweta Jain , Pooja Kulkarni , Shivika Narang

A major problem in fair division is how to allocate a set of indivisible resources among agents fairly and efficiently. The goal of this work is to characterize the tradeoffs between two well-studied measures of fairness and efficiency --…

计算机科学与博弈论 · 计算机科学 2024-01-17 Michal Feldman , Simon Mauras , Tomasz Ponitka

Neural networks have shown state-of-the-art performance in designing auctions, where the network learns the optimal allocations and payment rule to ensure desirable properties. Motivated by the same, we focus on learning fair division of…

计算机科学与博弈论 · 计算机科学 2021-12-13 Shaily Mishra , Manisha Padala , Sujit Gujar

In fair division, equitability dictates that each participant receives the same level of utility. In this work, we study equitable allocations of indivisible goods among agents with additive valuations. While prior work has studied…

计算机科学与博弈论 · 计算机科学 2019-05-28 Rupert Freeman , Sujoy Sikdar , Rohit Vaish , Lirong Xia

The Nash social welfare (NSW) is a well-known social welfare measurement that balances individual utilities and the overall efficiency. In the context of fair allocation of indivisible goods, it has been shown by Caragiannis et al. (EC 2016…

计算机科学与博弈论 · 计算机科学 2020-12-08 Xiaowei Wu , Bo Li , Jiarui Gan

The existence of allocations that are fair and efficient, simultaneously, is a central inquiry in fair division literature. A prominent result in discrete fair division shows that the complementary desiderata of fairness and efficiency can…

计算机科学与博弈论 · 计算机科学 2026-01-05 Siddharth Barman , Paritosh Verma

We study the efficiency of fair allocations using the well-studied price of fairness concept, which quantitatively measures the worst-case efficiency loss when imposing fairness constraints. Previous works provided partial results on the…

计算机科学与博弈论 · 计算机科学 2024-01-04 Zihao Li , Shengxin Liu , Xinhang Lu , Biaoshuai Tao , Yichen Tao

We study the problem of fair division when the resources contain both divisible and indivisible goods. Classic fairness notions such as envy-freeness (EF) and envy-freeness up to one good (EF1) cannot be directly applied to the mixed goods…

计算机科学与博弈论 · 计算机科学 2021-01-28 Xiaohui Bei , Zihao Li , Jinyan Liu , Shengxin Liu , Xinhang Lu

We consider the allocation of indivisible objects among agents with different valuations, which can be positive or negative. An egalitarian allocation is an allocation that maximizes the smallest value given to an agent; finding such an…

计算机科学与博弈论 · 计算机科学 2023-08-30 Israel Jacobovich , Erel Segal-Halevi

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…

计算机科学与博弈论 · 计算机科学 2025-10-16 Siddharth Barman , Vishwa Prakash HV , Aditi Sethia , Mashbat Suzuki