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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

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

Allocating $m$ indivisible goods among $n$ agents is a fundamental task in fair division. Recent work of Garg and Psomas [AAMAS 2025] initiated the study of parallel algorithms for envy-free up to one good (EF1) allocations, giving NC…

数据结构与算法 · 计算机科学 2026-05-19 Kishen N Gowda , D Ellis Hershkowitz , Richard Z Huang , Gregory Kehne

When allocating indivisible resources or tasks, an envy-free allocation or equitable allocation may not exist. We present a sufficient condition and an algorithm to achieve envy-freeness and equitability when monetary transfers are allowed.…

计算机科学与博弈论 · 计算机科学 2020-03-19 Haris Aziz

We consider the problem of fairly dividing a set of items. Much of the fair division literature assumes that the items are `goods' i.e., they yield positive utility for the agents. There is also some work where the items are `chores' that…

计算机科学与博弈论 · 计算机科学 2021-03-18 Haris Aziz , Ioannis Caragiannis , Ayumi Igarashi , Toby Walsh

We consider the problem of fairly dividing a set of heterogeneous divisible resources among agents with different preferences. We focus on the setting where the resources correspond to the edges of a connected graph, every agent must be…

数据结构与算法 · 计算机科学 2023-12-13 Argyrios Deligkas , Eduard Eiben , Robert Ganian , Thekla Hamm , Sebastian Ordyniak

In this work, we revisit the problem of fairly allocating a number of indivisible items that are located on a line to multiple agents. A feasible allocation requires that the allocated items to each agent are connected on the line. The…

计算机科学与博弈论 · 计算机科学 2022-05-24 Ankang Sun , Bo Li

We study classic fair-division problems in a partial information setting. This paper respectively addresses fair division of rent, cake, and indivisible goods among agents with cardinal preferences. We will show that, for all of these…

计算机科学与博弈论 · 计算机科学 2018-11-28 Eshwar Ram Arunachaleswaran , Siddharth Barman , Nidhi Rathi

Our work studies the fair allocation of indivisible items to a set of agents, and falls within the scope of establishing improved approximation guarantees. It is well known by now that the classic solution concepts in fair division, such as…

计算机科学与博弈论 · 计算机科学 2023-08-10 Evangelos Markakis , Christodoulos Santorinaios

This work is motivated by a common urban renewal process called Reconstruct and Divide. It involves the demolition of old buildings and the construction of new ones. Original homeowners are compensated with upgraded apartments, while…

计算机科学与博弈论 · 计算机科学 2026-02-23 Noga Klein Elmalem , Rica Gonen , Erel Segal-Halevi

We study a simple problem of allocating common-value goods. The designer seeks to allocate the goods to as many unit-demand agents as possible without monetary transfers, while agents, who possess partial private information about the…

理论经济学 · 经济学 2026-04-22 Hiroto Sato , Ryo Shirakawa

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 problem of assigning objects to agents in the presence of arbitrary linear constraints when agents are allowed to be indifferent between objects. Our main contribution is the generalization of the (Extended) Probabilistic…

理论经济学 · 经济学 2020-11-03 Priyanka Shende

We study the problem of allocating indivisible objects to a set of rational agents where each agent's final utility depends on the intrinsic valuation of the allocated item as well as the allocation within the agent's local neighbourhood.…

计算机科学与博弈论 · 计算机科学 2019-11-18 Sagar Massand , Sunil Simon

This paper considers the problem of randomly assigning a set of objects to a set of agents based on the ordinal preferences of agents. We generalize the well-known immediate acceptance algorithm to the afore-mentioned random environments…

理论经济学 · 经济学 2021-04-20 Yajing Chen , Patrick Harless , Zhenhua Jiao

We study the envy free pricing problem faced by a seller who wishes to maximize revenue by setting prices for bundles of items. If there is an unlimited supply of items and agents are single minded then we show that finding the revenue…

计算机科学与博弈论 · 计算机科学 2016-09-08 Amos Fiat , Amiram Wingarten

We investigate the tradeoffs between fairness and efficiency when allocating indivisible items over time. Suppose T items arrive over time and must be allocated upon arrival, immediately and irrevocably, to one of n agents. Agent i assigns…

计算机科学与博弈论 · 计算机科学 2020-05-18 David Zeng , Alexandros Psomas

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 division of divisible goods under generalized assignment constraints. Here, each good has an agent-specific value and size, and every agent has a budget constraint that limits the total size of the goods she can receive. Since…

计算机科学与博弈论 · 计算机科学 2026-03-03 Siddharth Barman , Ioannis Caragiannis , Sudarshan Shyam

We study the fair division of indivisible items. In the general model, the goal is to allocate $m$ indivisible items to $n$ agents while satisfying fairness criteria such as MMS, EF1, and EFX. We also study a recently-introduced graphical…

计算机科学与博弈论 · 计算机科学 2025-10-15 Kevin Hsu