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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 consider a variant of the knapsack problem, where items are available with different possible weights. Using a separate budget for these item improvements, the question is: Which items should be improved to which degree such that the…

最优化与控制 · 数学 2016-07-29 Marc Goerigk , Yogish Sabharwal , Anita Schöbel , Sandeep Sen

We study the problem of fairly allocating a set of $m$ goods among $n$ agents in the asymptotic setting, where each item's value for each agent is drawn from an underlying joint distribution. Prior works have shown that if this distribution…

计算机科学与博弈论 · 计算机科学 2025-12-12 Jugal Garg , Vishnu V. Narayan , Yuang Eric Shen

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…

In this paper, we study some multiagent variants of the knapsack problem. Fluschnik et al. [AAAI 2019] considered the model in which every agent assigns some utility to every item. They studied three preference aggregation rules for finding…

计算机科学与博弈论 · 计算机科学 2022-08-05 Sushmita Gupta , Pallavi Jain , Sanjay Seetharaman

In the one-dimensional facility assignment problem, m facilities and n agents are positioned along the real line. Each agent will be assigned to a single facility to receive service. Each facility incurs a building cost, which is shared…

计算机科学与博弈论 · 计算机科学 2024-04-16 Mengfan Ma , Mingyu Xiao , Tian Bai , Xin Cheng

We consider the problem of repeatedly allocating multiple shareable public goods that have limited availability in an online setting without the use of money. In our setting, agents have additive values, and the value each agent receives…

计算机科学与博弈论 · 计算机科学 2025-11-10 Chido Onyeze , David X. Lin , Siddhartha Banerjee , Éva Tardos

We consider the problem of allocating indivisible goods fairly among n agents who have additive and submodular valuations for the goods. Our fairness guarantees are in terms of the maximin share, that is defined to be the maximum value that…

计算机科学与博弈论 · 计算机科学 2020-04-07 Siddharth Barman , Sanath Kumar Krishnamurthy

We study the \emph{Submodular Welfare Problem} (SWP), where items are partitioned among agents with monotone submodular utilities to maximize the total welfare under \emph{bandit feedback}. Classical SWP assumes full value-oracle access,…

计算机科学与博弈论 · 计算机科学 2026-02-19 Subham Pokhriyal , Shweta Jain , Vaneet Aggarwal

We consider the fundamental problem of allocating a set of indivisible goods among strategic agents with additive valuation functions. It is well known that, in the absence of monetary transfers, Pareto efficient and truthful rules are…

计算机科学与博弈论 · 计算机科学 2024-02-26 Alexandros Psomas , Paritosh Verma

Large scale multiagent systems must rely on distributed decision making, as centralized coordination is either impractical or impossible. Recent works approach this problem under a game theoretic lens, whereby utility functions are assigned…

计算机科学与博弈论 · 计算机科学 2021-02-10 Rahul Chandan , Dario Paccagnan , Jason R. Marden

Schelling's model is an influential model that reveals how individual perceptions and incentives can lead to residential segregation. Inspired by a recent stream of work, we study welfare guarantees and complexity in this model with respect…

计算机科学与博弈论 · 计算机科学 2022-03-21 Martin Bullinger , Warut Suksompong , Alexandros A. Voudouris

This paper develops tools for welfare and revenue analyses of Bayes-Nash equilibria in asymmetric auctions with single-dimensional agents. We employ these tools to derive price of anarchy results for social welfare and revenue. Our approach…

计算机科学与博弈论 · 计算机科学 2019-01-17 Jason Hartline , Darrell Hoy , Sam Taggart

Joint channel and rate allocation with power minimization in orthogonal frequency-division multiple access (OFDMA) has attracted extensive attention. Most of the research has dealt with the development of sub-optimal but low-complexity…

网络与互联网体系结构 · 计算机科学 2011-12-13 Di Yuan , Jingon Joung , Chin Keong Ho , Sumei Sun

This paper studies a penalized statistical decision rule for the treatment assignment problem. Consider the setting of a utilitarian policy maker who must use sample data to allocate a binary treatment to members of a population, based on…

统计理论 · 数学 2020-12-10 Eric Mbakop , Max Tabord-Meehan

We consider the problem of episodic reinforcement learning where there are multiple stakeholders with different reward functions. Our goal is to output a policy that is socially fair with respect to different reward functions. Prior works…

机器学习 · 计算机科学 2023-02-06 Debmalya Mandal , Jiarui Gan

Applications such as employees sharing office spaces over a workweek can be modeled as problems where agents are matched to resources over multiple rounds. Agents' requirements limit the set of compatible resources and the rounds in which…

人工智能 · 计算机科学 2022-12-01 Yohai Trabelsi , Abhijin Adiga , Sarit Kraus , S. S. Ravi , Daniel J. Rosenkrantz

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 the problem of fairly allocating a set of indivisible items among a set of agents. We consider the notion of (approximate) maximin share (MMS) and we provide an improved lower bound of $1/2$ (which is tight) for the case of…

计算机科学与博弈论 · 计算机科学 2025-02-10 George Christodoulou , Vasilis Christoforidis , Symeon Mastrakoulis , Alkmini Sgouritsa

Given a set of $m$ agents and a set of $n$ items, where agent $A$ has utility $u_{A,i}$ for item $i$, our goal is to allocate items to agents to maximize fairness. Specifically, the utility of an agent is the sum of its utilities for items…

数据结构与算法 · 计算机科学 2009-01-05 Deeparnab Chakrabarty , Julia Chuzhoy , Sanjeev Khanna
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