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相关论文: Weighted Maxmin Fair Share Allocation of Indivisib…

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We study the fair allocation of indivisible chores among agents with asymmetric weights. Among the various fairness notions, weighted maximin share (WMMS) stands out as particularly compelling. However, whether WMMS admits a constant-factor…

计算机科学与博弈论 · 计算机科学 2025-10-09 Bo Li , Fangxiao Wang , Shiji Xing

We consider the problem of assigning indivisible chores to agents with different entitlements in the maximin share value (\MMS) context. While constant-\MMS\ allocations/assignments are guaranteed to exist for both goods and chores in the…

计算机科学与博弈论 · 计算机科学 2025-10-14 Masoud Seddighin , Saeed Seddighin

We consider Max-min Share (MmS) allocations of items both in the case where items are goods (positive utility) and when they are chores (negative utility). We show that fair allocations of goods and chores have some fundamental connections…

计算机科学与博弈论 · 计算机科学 2016-04-07 Haris Aziz , Gerhard Rauchecker , Guido Schryen , Toby Walsh

We initiate the work on fair and strategyproof allocation of indivisible chores. The fairness concept we consider in this paper is maxmin share (MMS) fairness. We consider three previously studied models of information elicited from the…

计算机科学与博弈论 · 计算机科学 2019-05-23 Haris Aziz , Bo Li , Xiaowei Wu

The real-world deployment of fair allocation algorithms usually involves a heterogeneous population of users, which makes it challenging for the users to get complete knowledge of the allocation except for their own bundles. Chan et al.…

计算机科学与博弈论 · 计算机科学 2023-08-31 Tianze Wei , Bo Li , Minming Li

In this paper, we study how to fairly allocate m indivisible chores to n (asymmetric) agents. We consider (weighted) proportionality up to any item (PROPX) and show that a (weighted) PROPX allocation always exists and can be computed…

计算机科学与博弈论 · 计算机科学 2021-11-01 Bo Li , Yingkai Li , Xiaowei Wu

We study fair division of indivisible chores among $n$ agents with additive cost functions using the popular fairness notion of maximin share (MMS). Since MMS allocations do not always exist for more than two agents, the goal has been to…

计算机科学与博弈论 · 计算机科学 2024-11-08 Jugal Garg , Xin Huang , Erel Segal-Halevi

We study fair allocation of indivisible chores (i.e., items with non-positive value) among agents with additive valuations. An allocation is deemed fair if it is (approximately) equitable, which means that the disutilities of the agents are…

计算机科学与博弈论 · 计算机科学 2020-02-27 Rupert Freeman , Sujoy Sikdar , Rohit Vaish , Lirong Xia

In this paper, we consider the problem of how to fairly dividing $m$ indivisible chores among $n$ agents. The fairness measure we considered here is the maximin share. The previous best known result is that there always exists a…

计算机科学与博弈论 · 计算机科学 2021-06-22 Xin Huang , Pinyan Lu

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 study the problem of fairly allocating a set of m indivisible chores (items with non-positive value) to n agents. We consider the desirable fairness notion of 1-out-of-d maximin share (MMS) -- the minimum value that an agent can…

计算机科学与博弈论 · 计算机科学 2022-01-20 Hadi Hosseini , Andrew Searns , Erel Segal-Halevi

We initiate the work on maximin share (MMS) fair allocation of m indivisible chores to n agents using only their ordinal preferences, from both algorithmic and mechanism design perspectives. The previous best-known approximation is 2-1/n by…

计算机科学与博弈论 · 计算机科学 2020-12-29 Haris Aziz , Bo Li , Xiaowei Wu

We study the problem of allocating indivisible goods among n agents in a fair manner. For this problem, maximin share (MMS) is a well-studied solution concept which provides a fairness threshold. Specifically, maximin share is defined as…

计算机科学与博弈论 · 计算机科学 2017-11-22 Siddharth Barman , Arpita Biswas , Sanath Kumar Krishnamurthy , Y. Narahari

This work addresses fair allocation of indivisible items in settings wherein it is feasible to create copies of resources or dispose of tasks. We establish that exact maximin share (MMS) fairness can be achieved via limited duplication of…

计算机科学与博弈论 · 计算机科学 2025-03-18 Siddharth Barman , Satyanand Rammohan , Aditi Sethia

We here address the problem of fairly allocating indivisible goods or chores to $n$ agents with weights that define their entitlement to the set of indivisible resources. Stemming from well-studied fairness concepts such as envy-freeness up…

计算机科学与博弈论 · 计算机科学 2023-12-19 MohammadTaghi Hajiaghayi , Max Springer , Hadi Yami

We consider the problem of allocating $m$ indivisible chores among $n$ agents with possibly different weights, aiming for a solution that is both fair and efficient. Specifically, we focus on the classic fairness notion of proportionality…

计算机科学与博弈论 · 计算机科学 2025-10-14 Jugal Garg , Eklavya Sharma , Xiaowei Wu

We consider the problem of fair allocation of indivisible items to agents that have arbitrary entitlements to the items. Every agent $i$ has a valuation function $v_i$ and an entitlement $b_i$, where entitlements sum up to~1. Which…

计算机科学与博弈论 · 计算机科学 2024-05-24 Moshe Babaioff , Uriel Feige

We study several fairness notions in allocating indivisible chores (i.e., items with non-positive values) to agents who have additive and submodular cost functions. The fairness criteria we are concern with are envy-free up to any item…

计算机科学与博弈论 · 计算机科学 2021-09-29 Ankang Sun , Bo Chen , Xuan Vinh Doan

We study the fair division of indivisible items among $n$ agents with heterogeneous additive valuations, subject to lower and upper quotas on the number of items allocated to each agent. Such constraints are crucial in various applications,…

计算机科学与博弈论 · 计算机科学 2026-02-10 Hirota Kinoshita , Ayumi Igarashi

We study the problem of allocating $m$ indivisible chores to $n$ agents with additive cost functions under the fairness notion of maximin share (MMS). In this work, we propose a notion called $\alpha$-approximate all-but-one maximin share…

计算机科学与博弈论 · 计算机科学 2024-10-17 Jiawei Qiu , Xiaowei Wu , Cong Zhang , Shengwei Zhou
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