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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

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…

Computer Science and Game Theory · Computer Science 2022-01-20 Hadi Hosseini , Andrew Searns , Erel Segal-Halevi

Fair division has emerged as a very hot topic in multiagent systems, and envy-freeness is among the most compelling fairness concepts. An allocation of indivisible items to agents is envy-free if no agent prefers the bundle of any other…

Computer Science and Game Theory · Computer Science 2021-02-26 Ioannis Caragiannis , Stavros Ioannidis

In standard fair division models, we assume that all agents are selfish. However, in many scenarios, division of resources has a direct impact on the whole group or even society. Therefore, we study fair allocations of indivisible items…

Computer Science and Game Theory · Computer Science 2025-11-13 Argyris Deligkas , Eduard Eiben , Tiger-Lily Goldsmith , Dušan Knop , Šimon Schierreich

We study fair division of goods under the broad class of generalized assignment constraints. In this constraint framework, the sizes and values of the goods are agent-specific, and one needs to allocate the goods among the agents fairly…

Computer Science and Game Theory · Computer Science 2023-05-03 Siddharth Barman , Arindam Khan , Sudarshan Shyam , K. V. N. Sreenivas

We study the problem of allocating indivisible chores to agents under the Maximin share (MMS) fairness notion. The chores are embedded on a graph and each bundle of chores assigned to an agent should be connected. Although there is a simple…

Data Structures and Algorithms · Computer Science 2023-02-28 Mingyu Xiao , Guoliang Qiu , Sen Huang

Online bipartite matching, where agents are known in advance but items arrive sequentially and must be irrevocably assigned, is fundamental to problems ranging from ride-sharing to online advertising. When agents belong to classes such as…

Computer Science and Game Theory · Computer Science 2026-05-25 Sander Borst , Max Springer

Envy-freeness and Pareto Efficiency are two major goals in welfare economics. The existence of an allocation that satisfies both conditions has been studied for a long time. Whether items are indivisible or divisible, it is impossible to…

Computer Science and Game Theory · Computer Science 2019-11-11 Richard Cole , Yixin Tao

We study fair division of indivisible mixed manna when agents have unequal entitlements, with weighted envy-freeness up to one item (WEF1) as our primary notion of fairness. We identify several shortcomings of existing techniques to achieve…

Computer Science and Game Theory · Computer Science 2024-10-18 Jugal Garg , Eklavya Sharma

Exchange of services and resources in, or over, networks is attracting nowadays renewed interest. However, despite the broad applicability and the extensive study of such models, e.g., in the context of P2P networks, many fundamental…

Computer Science and Game Theory · Computer Science 2015-04-09 Leonidas Georgiadis , George Iosifidis , Leandros Tassiulas

We introduce and study a multi-class online resource allocation problem with group fairness guarantees. The problem involves allocating a fixed amount of resources to a sequence of agents, each belonging to a specific group. The primary…

Computer Science and Game Theory · Computer Science 2025-01-28 Faraz Zargari , Hossein Nekouyan Jazi , Bo Sun , Xiaoqi Tan

We consider fair division of a set of indivisible goods among $n$ agents with additive valuations using the fairness notion of maximin share (MMS). MMS is the most popular share-based notion, in which an agent finds an allocation fair to…

Computer Science and Game Theory · Computer Science 2024-02-19 Hannaneh Akrami , Jugal Garg , Eklavya Sharma , Setareh Taki

Most of the existing algorithms for fair division do not consider externalities. Under externalities, the utility an agent obtains depends not only on its allocation but also on the allocation of other agents. An agent has a positive…

Computer Science and Game Theory · Computer Science 2022-02-28 Shaily Mishra , Manisha Padala , Sujit Gujar

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…

Computer Science and Game Theory · Computer Science 2023-12-19 MohammadTaghi Hajiaghayi , Max Springer , Hadi Yami

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 fair division setting in which participants are to be fairly distributed among teams, where not only do the teams have preferences over the participants as in the canonical fair division setting, but the participants also have…

Computer Science and Game Theory · Computer Science 2024-08-27 Ayumi Igarashi , Yasushi Kawase , Warut Suksompong , Hanna Sumita

In this paper, we present new results on the fair and efficient allocation of indivisible goods to agents whose preferences correspond to {\em matroid rank functions}. This is a versatile valuation class with several desirable properties…

Artificial Intelligence · Computer Science 2021-06-21 Nawal Benabbou , Mithun Chakraborty , Ayumi Igarashi , Yair Zick

We introduce a new model for two-sided matching which allows us to borrow popular fairness notions from the fair division literature such as envy-freeness up to one good and maximin share guarantee. In our model, each agent is matched to…

Computer Science and Game Theory · Computer Science 2021-07-16 Rupert Freeman , Evi Micha , Nisarg Shah

We initiate the study of indivisible chore allocation for agents with asymmetric shares. The fairness concept we focus on is the weighted natural generalization of maxmin share: WMMS fairness and OWMMS fairness. We first highlight the fact…

Computer Science and Game Theory · Computer Science 2019-06-19 Haris Aziz , Hau Chan , Bo Li

In prediction-based decision-making systems, different perspectives can be at odds: The short-term business goals of the decision makers are often in conflict with the decision subjects' wish to be treated fairly. Balancing these two…

Computers and Society · Computer Science 2023-05-03 Corinna Hertweck , Joachim Baumann , Michele Loi , Eleonora Viganò , Christoph Heitz