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We study the problem of allocating a set of indivisible items among agents whose preferences include externalities. Unlike the standard fair division model, agents may derive positive or negative utility not only from items allocated…

计算机科学与博弈论 · 计算机科学 2026-01-21 Frank Connor , Max Dupré la Tour , Vishnu V. Narayan , Šimon Schierreich

We study multi-agent contracts, in which a principal delegates a task to multiple agents and incentivizes them to exert effort. Prior research has mostly focused on maximizing the principal's utility, often resulting in highly disparate…

计算机科学与博弈论 · 计算机科学 2026-01-26 Ke Ding , Bo Li , Ankang Sun

Fairly dividing a set of indivisible resources to a set of agents is of utmost importance in some applications. However, after an allocation has been implemented the preferences of agents might change and envy might arise. We study the…

计算机科学与博弈论 · 计算机科学 2022-02-04 Niclas Boehmer , Robert Bredereck , Klaus Heeger , Dušan Knop , Junjie Luo

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…

计算机科学与博弈论 · 计算机科学 2023-10-17 Jugal Garg , Aniket Murhekar

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 the problem of fairly allocating indivisible goods among agents which are equipped with {\em leveled} valuation functions. Such preferences, that have been studied before in economics and fair division literature, capture a simple…

计算机科学与博弈论 · 计算机科学 2025-02-17 George Christodoulou , Vasilis Christoforidis

Fair allocation of indivisible goods has attracted extensive attention over the last two decades, yielding numerous elegant algorithmic results and producing challenging open questions. The problem becomes much harder in the presence of…

计算机科学与博弈论 · 计算机科学 2023-02-01 Georgios Amanatidis , Georgios Birmpas , Philip Lazos , Stefano Leonardi , Rebecca Reiffenhäuser

Most of the existing algorithms for fair division do not consider externalities. Under externalities, the utility an agent obtains depends not only on its allocation but also on the allocation of other agents. An agent has a positive…

计算机科学与博弈论 · 计算机科学 2022-02-28 Shaily Mishra , Manisha Padala , Sujit Gujar

We consider the fair division of indivisible items among $n$ agents with additive non-negative normalized valuations, with the goal of obtaining high value guarantees, that is, close to the proportional share for each agent. We prove that…

计算机科学与博弈论 · 计算机科学 2026-02-13 Sushmita Gupta , Pallavi Jain , Sanjay Seetharaman , Meirav Zehavi

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

Equitability is a fundamental notion in fair division which requires that all agents derive equal value from their allocated bundles. We study, for general (possibly non-monotone) valuations, a popular relaxation of equitability known as…

计算机科学与博弈论 · 计算机科学 2025-11-11 Hadi Hosseini , Vishwa Prakash HV , Aditi Sethia , Jatin Yadav

Envy-free up to one good (EF1) and envy-free up to any good (EFX) are two well-known extensions of envy-freeness for the case of indivisible items. It is shown that EF1 can always be guaranteed for agents with subadditive valuations. In…

计算机科学与博弈论 · 计算机科学 2020-07-15 Alireza Farhadi , MohammadTaghi Hajiaghayi , Mohamad Latifian , Masoud Seddighin , Hadi Yami

Current methodologies in machine learning analyze the effects of various statistical parity notions of fairness primarily in light of their impacts on predictive accuracy and vendor utility loss. In this paper, we propose a new framework…

机器学习 · 计算机科学 2018-07-04 Lily Hu , Yiling Chen

We consider the problem of fairly allocating indivisible goods, among agents, under cardinality constraints and additive valuations. In this setting, we are given a partition of the entire set of goods---i.e., the goods are…

计算机科学与博弈论 · 计算机科学 2020-10-20 Siddharth Barman , Arpita Biswas

In the recently introduced model of fair partitioning of friends, there is a set of agents located on the vertices of an underlying graph that indicates the friendships between the agents. The task is to partition the graph into $k$…

计算机科学与博弈论 · 计算机科学 2025-03-17 Argyrios Deligkas , Eduard Eiben , Stavros D. Ioannidis , Dušan Knop , Šimon Schierreich

We study the problem of allocating $m$ indivisible goods among $n$ agents, where each agent's valuation is fractionally subadditive (XOS). With respect to AnyPrice Share (APS) fairness, Kulkarni et al. (2024) showed that, when agents have…

计算机科学与博弈论 · 计算机科学 2026-01-15 Ziheng Chen , Bo Li , Zihan Luo , Jialin Zhang

We consider the classic problem of fairly allocating indivisible goods among agents with additive valuation functions and explore the connection between two prominent fairness notions: maximum Nash welfare (MNW) and envy-freeness up to any…

计算机科学与博弈论 · 计算机科学 2022-09-12 Georgios Amanatidis , Georgios Birmpas , Aris Filos-Ratsikas , Alexandros Hollender , Alexandros A. Voudouris

We study a model of auction design where a seller is selling a set of objects to a set of agents who can be assigned no more than one object. Each agent's preference over (object, payment) pair need not be quasilinear. If the domain…

理论经济学 · 经济学 2026-02-20 Tomoya Kazumura , Debasis Mishra , Shigehiro Serizawa

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 fair allocation of indivisible items under relevance constraints, where each agent has a set of relevant items and can only receive items that are relevant to them. While the relevance constraint has been studied in recent…

计算机科学与博弈论 · 计算机科学 2026-03-19 Ankang Sun , Ruijie Wang , Bo Li