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相关论文: Uniform Welfare Guarantees Under Identical Subaddi…

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We study the problem of fairly allocating a set of indivisible goods among agents with additive valuations. The extent of fairness of an allocation is measured by its Nash social welfare, which is the geometric mean of the valuations of the…

计算机科学与博弈论 · 计算机科学 2018-07-23 Siddharth Barman , Sanath Kumar Krishnamurthy , Rohit Vaish

We study the problem of allocating a set of indivisible goods among agents with subadditive valuations in a fair and efficient manner. Envy-Freeness up to any good (EFX) is the most compelling notion of fairness in the context of…

计算机科学与博弈论 · 计算机科学 2020-08-18 Bhaskar Ray Chaudhury , Jugal Garg , Ruta Mehta

We study fair and efficient allocation of divisible goods, in an online manner, among $n$ agents. The goods arrive online in a sequence of $T$ time periods. The agents' values for a good are revealed only after its arrival, and the online…

计算机科学与博弈论 · 计算机科学 2021-09-03 Siddharth Barman , Arindam Khan , Arnab Maiti

We consider the task of assigning indivisible goods to a set of agents in a fair manner. Our notion of fairness is Nash social welfare, i.e., the goal is to maximize the geometric mean of the utilities of the agents. Each good comes in…

数据结构与算法 · 计算机科学 2019-05-13 Bhaskar Chaudhury , Yun Kuen Cheung , Jugal Garg , Naveen Garg , Martin Hoefer , Kurt Mehlhorn

We study the problem of allocating indivisible goods among agents in a fair and economically efficient manner. In this context, the Nash social welfare-defined as the geometric mean of agents' valuations for their assigned bundles-stands as…

计算机科学与博弈论 · 计算机科学 2021-10-27 Siddharth Barman , Paritosh Verma

This paper is merged with arXiv:2107.08965v2. We refer the reader to the full and updated version. We study the problem of allocating a set of indivisible goods among agents with 2-value additive valuations. Our goal is to find an…

计算机科学与博弈论 · 计算机科学 2021-10-13 Hannaneh Akrami , Bhaskar Ray Chaudhury , Kurt Mehlhorn , Golnoosh Shahkarami , Quentin Vermande

We develop polynomial-time algorithms for the fair and efficient allocation of indivisible goods among $n$ agents that have subadditive valuations over the goods. We first consider the Nash social welfare as our objective and design a…

计算机科学与博弈论 · 计算机科学 2020-07-07 Siddharth Barman , Umang Bhaskar , Anand Krishna , Ranjani G. Sundaram

We study the problem of maximizing Nash social welfare, which is the geometric mean of agents' utilities, in two well-known models. The first model involves one-sided preferences, where a set of indivisible items is allocated among a group…

计算机科学与博弈论 · 计算机科学 2025-05-19 Salil Gokhale , Harshul Sagar , Rohit Vaish , Vignesh Viswanathan , Jatin Yadav

Allocating items in a fair and economically efficient manner is a central problem in fair division. We study this problem for agents with additive preferences, when items are all goods or all chores, divisible or indivisible. The celebrated…

计算机科学与博弈论 · 计算机科学 2026-02-13 Owen Eckart , Alexandros Psomas , Paritosh Verma

We study the problem of efficiently and fairly allocating a set of indivisible goods among agents with identical and additive valuations for the goods. The objective is to maximize the Nash social welfare, which is the geometric mean of the…

数据结构与算法 · 计算机科学 2022-01-06 Asei Inoue , Yusuke Kobayashi

We propose a new model for aggregating preferences over a set of indivisible items based on a quantile value. In this model, each agent is endowed with a specific quantile, and the value of a given bundle is defined by the corresponding…

计算机科学与博弈论 · 计算机科学 2026-05-06 Haris Aziz , Shivika Narang , Mashbat Suzuki

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

We study the problem of approximating maximum Nash social welfare (NSW) when allocating m indivisible items among n asymmetric agents with submodular valuations. The NSW is a well-established notion of fairness and efficiency, defined as…

计算机科学与博弈论 · 计算机科学 2020-01-01 Jugal Garg , Pooja Kulkarni , Rucha Kulkarni

We consider the problem of maximizing the Nash social welfare when allocating a set $\mathcal{G}$ of indivisible goods to a set $\mathcal{N}$ of agents. We study instances, in which all agents have 2-value additive valuations: The value of…

We study the fair allocation of indivisible items to $n$ agents to maximize the utilitarian social welfare, where the fairness criterion is envy-free up to one item and there are only two different utility functions shared by the agents. We…

计算机科学与博弈论 · 计算机科学 2025-09-12 Jiaxuan Ma , Yong Chen , Guangting Chen , Mingyang Gong , Guohui Lin , An Zhang

We consider item allocation to individual agents who have additive valuations, in settings in which there are protected groups, and the allocation needs to give each protected group its "fair" share of the total welfare. Informally, within…

计算机科学与博弈论 · 计算机科学 2022-04-15 Uriel Feige , Yehonatan Tahan

We study the power of item-pricing as a tool for approximately optimizing social welfare in a combinatorial market. We consider markets with $m$ indivisible items and $n$ buyers. The goal is to set prices to the items so that, when agents…

计算机科学与博弈论 · 计算机科学 2015-11-10 Michal Feldman , Nick Gravin , Brendan Lucier

We study the online allocation of divisible items to $n$ agents with additive valuations for $p$-mean welfare maximization, a problem introduced by Barman, Khan, and Maiti~(2022). Our algorithmic and hardness results characterize the…

计算机科学与博弈论 · 计算机科学 2025-04-21 Zhiyi Huang , Chui Shan Lee , Xinkai Shu , Zhaozi Wang

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 establish a compatibility between fairness and efficiency, captured via Nash Social Welfare (NSW), under the broad class of subadditive valuations. We prove that, for subadditive valuations, there always exists a partial allocation that…

计算机科学与博弈论 · 计算机科学 2025-11-10 Siddharth Barman , Mashbat Suzuki
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