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We study the problem of dynamically allocating $T$ indivisible items to $n$ agents with the restriction that the allocation is fair all the time. Due to the negative results to achieve fairness when allocations are irrevocable, we allow…

计算机科学与博弈论 · 计算机科学 2023-02-21 Mingwei Yang

With very few exceptions, recent research in fair division has mostly focused on deterministic allocations. Deviating from this trend, we study the fairness notion of interim envy-freeness (iEF) for lotteries over allocations, which serves…

计算机科学与博弈论 · 计算机科学 2024-11-27 Ioannis Caragiannis , Panagiotis Kanellopoulos , Maria Kyropoulou

When dividing items among agents, two of the most widely studied fairness notions are envy-freeness and proportionality. We consider a setting where $m$ chores are allocated to $n$ agents and the disutility of each chore for each agent is…

计算机科学与博弈论 · 计算机科学 2025-04-30 Pasin Manurangsi , Warut Suksompong

We study the fair division of indivisible goods with conflicts between pairs of goods, represented by a graph $G = (V, E)$. We consider ``soft'' conflicts: assigning two adjacent goods to the same agent is allowed, but we seek allocations…

计算机科学与博弈论 · 计算机科学 2026-02-25 Hirotaka Yoneda , Masataka Yoneda

In fair division of indivisible goods, using sequences of sincere choices (or picking sequences) is a natural way to allocate the objects. The idea is the following: at each stage, a designated agent picks one object among those that…

计算机科学与博弈论 · 计算机科学 2016-04-07 Sylvain Bouveret , Michel Lemaître

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 fair mechanisms for the classic job scheduling problem on unrelated machines with the objective of minimizing the makespan. This problem is equivalent to minimizing the egalitarian social cost in the fair division of chores. The…

计算机科学与博弈论 · 计算机科学 2024-12-12 Michal Feldman , Jugal Garg , Vishnu V. Narayan , Tomasz Ponitka

In this article we study the problem of fair division. In particular we study a notion introduced by J. Barbanel that generalizes super envy-free fair division. We give a new proof of his result. Our approach allows us to give an explicit…

计算机科学与博弈论 · 计算机科学 2017-07-11 Guillaume Chèze , Luca Amodei

We study the problem of fair division of a set of indivisible goods with connectivity constraints. Specifically, we assume that the goods are represented as vertices of a connected graph, and sets of goods allocated to the agents are…

离散数学 · 计算机科学 2025-08-18 Václav Blažej , Michał Dębski , Zbigniew Lonc , Marta Piecyk , Paweł Rzążewski

Finding an envy-free allocation of indivisible resources to agents is a central task in many multiagent systems. Often, non-trivial envy-free allocations do not exist, and, when they do, finding them can be computationally hard. Classical…

计算机科学与博弈论 · 计算机科学 2020-11-24 Robert Bredereck , Andrzej Kaczmarczyk , Rolf Niedermeier

We propose a notion of fairness for allocation problems in which different agents may have different reservation utilities, stemming from different outside options, or property rights. Fairness is usually understood as the absence of envy,…

理论经济学 · 经济学 2020-05-12 Federico Echenique , Antonio Miralles , Jun Zhang

Fairness and privacy are two important concerns in social decision-making processes such as resource allocation. We study privacy in the fair allocation of indivisible resources using the well-established framework of differential privacy.…

计算机科学与博弈论 · 计算机科学 2025-06-17 Pasin Manurangsi , Warut Suksompong

We study the recently introduced cake-cutting setting in which the cake is represented by an undirected graph. This generalizes the canonical interval cake and allows for modeling the division of road networks. We show that when the graph…

计算机科学与博弈论 · 计算机科学 2021-05-12 Edith Elkind , Erel Segal-Halevi , Warut Suksompong

We study the computational complexity of fairly allocating a set of indivisible items under externalities. In this recently-proposed setting, in addition to the utility the agent gets from their bundle, they also receive utility from items…

计算机科学与博弈论 · 计算机科学 2024-04-16 Argyrios Deligkas , Eduard Eiben , Viktoriia Korchemna , Šimon Schierreich

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

The classical house allocation problem involves assigning $n$ houses (or items) to $n$ agents according to their preferences. A key criterion in such problems is satisfying some fairness constraints such as envy-freeness. We consider a…

计算机科学与博弈论 · 计算机科学 2023-09-20 Hadi Hosseini , Justin Payan , Rik Sengupta , Rohit Vaish , Vignesh Viswanathan

Fair allocation of indivisible goods is a well-explored problem. Traditionally, research focused on individual fairness - are individual agents satisfied with their allotted share? - and group fairness - are groups of agents treated fairly?…

计算机科学与博弈论 · 计算机科学 2023-02-15 Jonathan Scarlett , Nicholas Teh , Yair Zick

In fair division problems, we are given a set $S$ of $m$ items and a set $N$ of $n$ agents with individual preferences, and the goal is to find an allocation of items among agents so that each agent finds the allocation fair. There are…

We propose a new fairness notion, motivated by the practical challenge of allocating teaching assistants (TAs) to courses in a department. Each course requires a certain number of TAs and each TA has preferences over the courses they want…

计算机科学与博弈论 · 计算机科学 2025-04-15 Pallavi Jain , Palash Jha , Shubham Solanki

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