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In this paper, we analyze the problem of how to adapt the concept of priority to situations where several perfectly divisible resources have to be allocated among certain set of agents that have exactly one claim which is used for all…

最优化与控制 · 数学 2022-09-23 Rick K. Acosta-Vega , Encarnación Algaba , Joaquín Sánchez-Soriano

In today's dynamic and interconnected world, resource constraints pose significant challenges across various domains, ranging from networks, logistics and manufacturing to project management and optimization, etc. Resource-constrained…

计算机科学与博弈论 · 计算机科学 2023-11-09 Shiksha Singhal

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 several smart city applications, multiple resources must be allocated among competing agents that are coupled through such shared resources and are constrained --- either through limitations of communication infrastructure or privacy…

系统与控制 · 计算机科学 2023-10-19 Syed Eqbal Alam , Robert Shorten , Fabian Wirth , Jia Yuan Yu

Allocating scarce resources among agents to maximize global utility is, in general, computationally challenging. We focus on problems where resources enable agents to execute actions in stochastic environments, modeled as Markov decision…

多智能体系统 · 计算机科学 2011-10-13 D. A. Dolgov , E. H. Durfee

We study the problem of finding fair and efficient allocations of a set of indivisible items to a set of agents, where each item may be a good (positively valued) for some agents and a bad (negatively valued) for others, i.e., a mixed…

计算机科学与博弈论 · 计算机科学 2022-02-08 Vasilis Livanos , Ruta Mehta , Aniket Murhekar

In this paper we initiate the study of finding fair and efficient allocations of an indivisible mixed manna: Divide m indivisible items among n agents under the fairness notion of maximin share (MMS) and the efficiency notion of Pareto…

计算机科学与博弈论 · 计算机科学 2021-04-07 Rucha Kulkarni , Ruta Mehta , Setareh Taki

We consider fair resource allocation in sequential decision-making environments modeled as weakly coupled Markov decision processes, where resource constraints couple the action spaces of $N$ sub-Markov decision processes (sub-MDPs) that…

机器学习 · 计算机科学 2025-04-29 Xiaohui Tu , Yossiri Adulyasak , Nima Akbarzadeh , Erick Delage

\textit{Fair division} of resources among competing agents is a fundamental problem in computational social choice and economic game theory. It has been intensively studied on various kinds of items (\textit{divisible} and…

计算机科学与博弈论 · 计算机科学 2023-10-03 Harmender Gahlawat , Meirav Zehavi

We introduce a model of fair division with market values, where indivisible goods must be partitioned among agents with (additive) subjective valuations, and each good additionally has a market value. The market valuation can be viewed as a…

计算机科学与博弈论 · 计算机科学 2024-10-31 Siddharth Barman , Soroush Ebadian , Mohamad Latifian , Nisarg Shah

It is often beneficial for agents to pool their resources in order to better accommodate fluctuations in individual demand. Many multi-round resource allocation mechanisms operate in an online manner: in each round, the agents specify their…

计算机科学与博弈论 · 计算机科学 2022-08-02 Fu Li , C. Gregory Plaxton , Vaibhav B. Sinha

Effective network slicing requires an infrastructure/network provider to deal with the uncertain demand and real-time dynamics of network resource requests. Another challenge is the combinatorial optimization of numerous resources, e.g.,…

网络与互联网体系结构 · 计算机科学 2019-02-27 Nguyen Van Huynh , Dinh Thai Hoang , Diep N. Nguyen , Eryk Dutkiewicz

Platforms matching spatially distributed supply to demand face a fundamental design choice: given a fixed total budget of service range, how should it be allocated across supply nodes ex ante, i.e. before supply and demand locations are…

概率论 · 数学 2026-02-19 Taha Ameen , Flore Sentenac , Sophie H. Yu

In this article we suggest a model of computation for the cake cutting problem. In this model the mediator can ask the same queries as in the Robertson-Webb model but he or she can only perform algebraic operations as in the Blum-Shub-Smale…

计算机科学与博弈论 · 计算机科学 2019-07-11 Guillaume Chèze

In the rapidly evolving research on artificial intelligence (AI) the demand for fast, computationally efficient, and scalable solutions has increased in recent years. The problem of optimizing the computing resources for distributed machine…

机器学习 · 计算机科学 2025-10-30 Mohammadreza Doostmohammadian , Zulfiya R. Gabidullina , Hamid R. Rabiee

We introduce and formalize the notion of resource augmentation for maximin share (MMS) fairness for the allocation of indivisible goods. Given an instance with $n$ agents and $m$ goods, we ask how many copies of the goods should be added in…

计算机科学与博弈论 · 计算机科学 2026-02-27 Hannaneh Akrami , Siddharth Barman , Alon Eden , Michal Feldman , Amos Fiat , Yoav Gal-Tzur , Satyanand Rammohan , Aditi Sethia

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

The traditional multi-commodity flow problem assumes a given flow network in which multiple commodities are to be maximally routed in response to given demands. This paper considers the multi-commodity flow network-design problem: given a…

数据结构与算法 · 计算机科学 2015-06-02 Samir Khuller , Balaji Raghavachari , Neal E. Young

We investigate the power of randomness in the context of a fundamental Bayesian optimal mechanism design problem--a single seller aims to maximize expected revenue by allocating multiple kinds of resources to "unit-demand" agents with…

计算机科学与博弈论 · 计算机科学 2010-02-24 Shuchi Chawla , David Malec , Balasubramanian Sivan

We consider the problem of fair allocation of $m$ indivisible items to a group of $n$ agents with subsidy (money). Our work mainly focuses on the allocation of chores but most of our results extend to the allocation of goods as well. We…

计算机科学与博弈论 · 计算机科学 2023-07-11 Xiaowei Wu , Cong Zhang , Shengwei Zhou
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