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House Allocations concern with matchings involving one-sided preferences, where houses serve as a proxy encoding valuable indivisible resources (e.g. organs, course seats, subsidized public housing units) to be allocated among the agents.…

计算机科学与博弈论 · 计算机科学 2025-11-11 Hadi Hosseini , Sanjukta Roy , Aditi Sethia

This paper re-examines the problem of fairly and efficiently allocating indivisible goods among agents with additive bivalued valuations. Garg and Murhekar (2021) proposed a polynomial-time algorithm that purported to find an EFX and fPO…

计算机科学与博弈论 · 计算机科学 2026-04-10 Hui Liu , Zhijie Zhang

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

A set of divisible resources becomes available over a sequence of rounds and needs to be allocated immediately and irrevocably. Our goal is to distribute these resources to maximize fairness and efficiency. Achieving any non-trivial…

计算机科学与博弈论 · 计算机科学 2020-09-29 Vasilis Gkatzelis , Alexandros Psomas , Xizhi Tan

The problem of fair division of indivisible goods is a fundamental problem of social choice. Recently, the problem was extended to the case when goods form a graph and the goal is to allocate goods to agents so that each agent's bundle…

社会与信息网络 · 计算机科学 2019-05-13 Zbigniew Lonc , Miroslaw Truszczynski

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 probabilistic assignment of items to platforms that satisfies both group and individual fairness constraints. Each item belongs to specific groups and has a preference ordering over platforms. Each platform enforces group…

人工智能 · 计算机科学 2024-05-13 Atasi Panda , Anand Louis , Prajakta Nimbhorkar

We consider the task of allocating indivisible items to agents, when the agents' preferences over the items are identical. The preferences are captured by means of a directed acyclic graph, with vertices representing items and an edge…

We consider the problem of fairly allocating a set of indivisible goods to a set of strategic agents with additive valuation functions. We assume no monetary transfers and, therefore, a mechanism in our setting is an algorithm that takes as…

计算机科学与博弈论 · 计算机科学 2023-12-12 Georgios Amanatidis , Georgios Birmpas , Federico Fusco , Philip Lazos , Stefano Leonardi , Rebecca Reiffenhäuser

The leximin solution -- which selects an allocation that maximizes the minimum utility, then the second minimum utility, and so forth -- is known to provide EFX (envy-free up to any good) fairness guarantee in some contexts when allocating…

计算机科学与博弈论 · 计算机科学 2020-05-12 Xingyu Chen , Zijie Liu

We study the computational complexity of finding fair allocations of indivisible goods in the setting where a social network on the agents is given. Notions of fairness in this context are "localized", that is, agents are only concerned…

计算机科学与博弈论 · 计算机科学 2021-11-24 Neeldhara Misra , Debanuj Nayak

Fair division considers the allocation of scarce resources among agents in such a way that every agent gets a fair share. It is a fundamental problem in society and has received significant attention and rapid developments from the game…

计算机科学与博弈论 · 计算机科学 2024-08-13 Shengxin Liu , Xinhang Lu , Mashbat Suzuki , Toby Walsh

This paper studies the allocation of indivisible items to agents, when each agent's preferences are expressed by means of a directed acyclic graph. The vertices of each preference graph represent the subset of items approved of by the…

A major open question in fair allocation of indivisible items is whether there always exists an allocation of chores that is Pareto optimal (PO) and envy-free up to one item (EF1). We answer this question affirmatively for the natural class…

计算机科学与博弈论 · 计算机科学 2022-02-04 Soroush Ebadian , Dominik Peters , Nisarg Shah

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

Fair division is a fundamental problem in various multi-agent settings, where the goal is to divide a set of resources among agents in a fair manner. We study the case where m indivisible items need to be divided among n agents with…

计算机科学与博弈论 · 计算机科学 2021-04-07 Jugal Garg , Setareh Taki

We consider the fair division of indivisible items using the maximin shares measure. Recent work on the topic has focused on extending results beyond the class of additive valuation functions. In this spirit, we study the case where the…

离散数学 · 计算机科学 2023-10-20 Zhentao Li , Adrian Vetta

We study Fisher markets that admit equilibria wherein each good is integrally assigned to some agent. While strong existence and computational guarantees are known for equilibria of Fisher markets with additive valuations, such equilibria,…

计算机科学与博弈论 · 计算机科学 2018-11-22 Siddharth Barman , Sanath Kumar Krishnamurthy

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

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