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We consider the problem of dividing limited resources to individuals arriving over $T$ rounds. Each round has a random number of individuals arrive, and individuals can be characterized by their type (i.e. preferences over the different…

Computer Science and Game Theory · Computer Science 2022-10-03 Sean R. Sinclair , Gauri Jain , Siddhartha Banerjee , Christina Lee Yu

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

We study a discrete fair division problem where $n$ agents have additive valuation functions over a set of $m$ goods. We focus on the well-known $\alpha$-EFX fairness criterion, according to which the envy of an agent for another agent is…

Computer Science and Game Theory · Computer Science 2026-02-10 Aris Filos-Ratsikas , Georgios Kalantzis , Alexandros A. Voudouris

We study the problem of fairly and efficiently allocating a set of items among strategic agents with additive valuations, where items are either all indivisible or all divisible. When items are goods, numerous positive and negative results…

Computer Science and Game Theory · Computer Science 2025-07-08 Bo Li , Biaoshuai Tao , Fangxiao Wang , Xiaowei Wu , Mingwei Yang , Shengwei Zhou

We study the fair division of divisible bad resources with strategic agents who can manipulate their private information to get a better allocation. Within certain constraints, we are particularly interested in whether truthful envy-free…

Computer Science and Game Theory · Computer Science 2023-01-24 Mohammad Azharuddin Sanpui

In the assignment problem, a set of items must be allocated to unit-demand agents who express ordinal preferences (rankings) over the items. In the assignment problem with priorities, agents with higher priority are entitled to their…

Computer Science and Game Theory · Computer Science 2023-02-01 Zeyu Shen , Zhiyi Wang , Xingyu Zhu , Brandon Fain , Kamesh Munagala

Consider a binary decision making process where a single machine learning classifier replaces a multitude of humans. We raise questions about the resulting loss of diversity in the decision making process. We study the potential benefits of…

Machine Learning · Statistics 2017-07-03 Nina Grgić-Hlača , Muhammad Bilal Zafar , Krishna P. Gummadi , Adrian Weller

We consider a multi-agent resource allocation setting in which an agent's utility may decrease or increase when an item is allocated. We take the group envy-freeness concept that is well-established in the literature and present stronger…

Computer Science and Game Theory · Computer Science 2019-07-23 Haris Aziz , Simon Rey

We study the fair allocation of indivisible items under relevance constraints, where each agent has a set of relevant items and can only receive items that are relevant to them. While the relevance constraint has been studied in recent…

Computer Science and Game Theory · Computer Science 2026-03-19 Ankang Sun , Ruijie Wang , Bo Li

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…

Computer Science and Game Theory · Computer Science 2021-02-10 Rahul Chandan , Dario Paccagnan , Jason R. Marden

The field of algorithmic fairness has rapidly emerged over the past 15 years as algorithms have become ubiquitous in everyday lives. Algorithmic fairness traditionally considers statistical notions of fairness algorithms might satisfy in…

Theoretical Economics · Economics 2023-12-07 John W. Patty , Elizabeth Maggie Penn

We consider a fair division setting where indivisible items are allocated to agents. Each agent in the setting has strictly negative, zero or strictly positive utility for each item. We, thus, make a distinction between items that are good…

Computer Science and Game Theory · Computer Science 2020-05-14 Martin Aleksandrov

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…

Computer Science and Game Theory · Computer Science 2022-08-02 Fu Li , C. Gregory Plaxton , Vaibhav B. Sinha

We consider a novel setting where a set of items are matched to the same set of agents repeatedly over multiple rounds. Each agent gets exactly one item per round, which brings interesting challenges to finding efficient and/or fair {\em…

Computer Science and Game Theory · Computer Science 2022-07-05 Ioannis Caragiannis , Shivika Narang

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 2025-02-25 Noga Klein Elmalem , Rica Gonen , Erel Segal-Halevi

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

One-sided matching mechanisms are fundamental for assigning a set of indivisible objects to a set of self-interested agents when monetary transfers are not allowed. Two widely-studied randomized mechanisms in multiagent settings are the…

Computer Science and Game Theory · Computer Science 2017-03-02 Hadi Hosseini , Kate Larson , Robin Cohen

The classic house allocation problem involves assigning $m$ houses to $n$ agents based on their utility functions, ensuring each agent receives exactly one house. A key criterion in these problems is satisfying fairness constraints such as…

Computer Science and Game Theory · Computer Science 2024-08-23 Sijia Dai , Yankai Chen , Xiaowei Wu , Yicheng Xu , Yong Zhang

We investigate the fair allocation of indivisible goods to agents with possibly different entitlements represented by weights. Previous work has shown that guarantees for additive valuations with existing envy-based notions cannot be…

Computer Science and Game Theory · Computer Science 2025-04-18 Luisa Montanari , Ulrike Schmidt-Kraepelin , Warut Suksompong , Nicholas Teh

We consider two models of fair division with indivisible items: one for goods and one for bads. For goods, we study two generalized envy freeness proxies (EF1 and EFX for goods) and three common welfare (utilitarian, egalitarian and Nash)…

Computer Science and Game Theory · Computer Science 2018-08-28 Martin Aleksandrov
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