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In frequently repeated matching scenarios, individuals may require diversification in their choices. Therefore, when faced with a set of potential outcomes, each individual may have an ideal lottery over outcomes that represents their…

Computer Science and Game Theory · Computer Science 2024-04-29 Rasoul Ramezanian

This paper considers a novel variant of the online fair division problem involving multiple agents in which a learner sequentially observes an indivisible item that has to be irrevocably allocated to one of the agents while satisfying a…

Machine Learning · Computer Science 2025-05-30 Arun Verma , Indrajit Saha , Makoto Yokoo , Bryan Kian Hsiang Low

We study the fair allocation of indivisible goods under cardinality constraints, where each agent must receive a bundle of fixed size. This models practical scenarios, such as assigning shifts or forming equally sized teams. Recently,…

Computer Science and Game Theory · Computer Science 2025-07-29 Alviona Mancho , Evangelos Markakis , Nicos Protopapas

We study the fair allocation of indivisible goods with variable groups. In this model, the goal is to partition the agents into groups of given sizes and allocate the goods to the groups in a fair manner. We show that for any number of…

Computer Science and Game Theory · Computer Science 2025-11-11 Paul Gölz , Ayumi Igarashi , Pasin Manurangsi , Warut Suksompong

We study the problem of dynamically allocating $T$ indivisible items to $n$ agents with the restriction that the allocation is fair all the time. Due to the negative results to achieve fairness when allocations are irrevocable, we allow…

Computer Science and Game Theory · Computer Science 2023-02-21 Mingwei Yang

We study the fair allocation of indivisible goods among agents with identical, additive valuations but individual budget constraints. Here, the indivisible goods--each with a specific size and value--need to be allocated such that the…

Computer Science and Game Theory · Computer Science 2023-03-20 Siddharth Barman , Arindam Khan , Sudarshan Shyam , K. V. N. Sreenivas

Although resource allocation is a well studied problem in computer science, until the prevalence of distributed systems, such as computing clouds and data centres, the question had been addressed predominantly for single resource type…

Computer Science and Game Theory · Computer Science 2025-12-29 Serdar Metin

We study the problem of fairly allocating either a set of indivisible goods or a set of mixed divisible and indivisible goods (i.e., mixed goods) to agents with additive utilities, taking the best-of-both-worlds perspective of guaranteeing…

Computer Science and Game Theory · Computer Science 2024-10-25 Xiaolin Bu , Zihao Li , Shengxin Liu , Xinhang Lu , Biaoshuai Tao

We study a setting in which a principal selects an agent to execute a collection of tasks according to a specified priority sequence. Agents, however, have their own individual priority sequences according to which they wish to execute the…

Computer Science and Game Theory · Computer Science 2024-10-30 Donya G. Dobakhshari , Lav R. Varshney , Vijay Gupta

Reinforcement-learning agents seek to maximize a reward signal through environmental interactions. As humans, our job in the learning process is to design reward functions to express desired behavior and enable the agent to learn such…

Machine Learning · Computer Science 2024-08-08 Zhiyuan Zhou , Shreyas Sundara Raman , Henry Sowerby , Michael L. Littman

We study fair resource allocation under a connectedness constraint wherein a set of indivisible items are arranged on a path and only connected subsets of items may be allocated to the agents. An allocation is deemed fair if it satisfies…

Computer Science and Game Theory · Computer Science 2021-01-27 Neeldhara Misra , Chinmay Sonar , P. R. Vaidyanathan , Rohit Vaish

We study the problem of allocating a set of indivisible goods to multiple agents. Recent work [Bouveret and Lang, 2011] focused on allocating goods in a sequential way, and studied what is the "best" sequence of agents to pick objects based…

Multiagent Systems · Computer Science 2014-05-27 Wei Huang , Jian Lou , Zhonghua Wen

We investigate the efficiency of fair allocations of indivisible goods using the well-studied price of fairness concept. Previous work has focused on classical fairness notions such as envy-freeness, proportionality, and equitability.…

Computer Science and Game Theory · Computer Science 2021-09-08 Xiaohui Bei , Xinhang Lu , Pasin Manurangsi , Warut Suksompong

In an online fair allocation problem, a sequence of indivisible items arrives online and needs to be allocated to offline agents immediately and irrevocably. In our paper, we study the online allocation of either goods or chores. We employ…

Computer Science and Game Theory · Computer Science 2025-09-10 Yuanyuan Wang , Tianze Wei

We study the trade-offs between strategyproofness and other desiderata, such as efficiency or fairness, that often arise in the design of random ordinal mechanisms. We use approximate strategyproofness to define manipulability, a measure to…

Computer Science and Game Theory · Computer Science 2017-01-11 Timo Mennle , Sven Seuken

Ranking items by their probability of relevance has long been the goal of conventional ranking systems. While this maximizes traditional criteria of ranking performance, there is a growing understanding that it is an oversimplification in…

Information Retrieval · Computer Science 2021-09-14 Lequn Wang , Thorsten Joachims

We consider the following control problem on fair allocation of indivisible goods. Given a set $I$ of items and a set of agents, each having strict linear preference over the items, we ask for a minimum subset of the items whose deletion…

Multiagent Systems · Computer Science 2017-06-01 Britta Dorn , Ronald de Haan , Ildikó Schlotter

We explore solutions for fairly allocating indivisible items among agents assigned weights representing their entitlements. Our fairness goal is weighted-envy-freeness (WEF), where each agent deems their allocated portion relative to their…

Computer Science and Game Theory · Computer Science 2025-03-07 Noga Klein Elmalem , Haris Aziz , Rica Gonen , Xin Huang , Kei Kimura , Indrajit Saha , Erel Segal-Halevi , Zhaohong Sun , Mashbat Suzuki , Makoto Yokoo

We study the problem of assigning objects to agents in the presence of arbitrary linear constraints when agents are allowed to be indifferent between objects. Our main contribution is the generalization of the (Extended) Probabilistic…

Theoretical Economics · Economics 2020-11-03 Priyanka Shende

Our work studies the fair allocation of indivisible items to a set of agents, and falls within the scope of establishing improved approximation guarantees. It is well known by now that the classic solution concepts in fair division, such as…

Computer Science and Game Theory · Computer Science 2023-08-10 Evangelos Markakis , Christodoulos Santorinaios