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We study the fair division problem of allocating multiple resources among a set of agents with Leontief preferences that are each required to complete a finite amount of work, which we term "limited demands". We examine the behavior of the…

Computer Science and Game Theory · Computer Science 2021-03-02 Sushirdeep Narayana , Ian A. Kash

Consider the problem of assigning indivisible objects to agents with strict ordinal preferences over objects, where each agent is interested in consuming at most one object, and objects have integer minimum and maximum quotas. We define an…

Theoretical Economics · Economics 2020-12-22 Marek Bojko

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 consider the multi-unit random assignment problem in which agents express preferences over objects and objects are allocated to agents randomly based on the preferences. The most well-established preference relation to compare random…

Computer Science and Game Theory · Computer Science 2015-06-22 Haris Aziz

I provide a unified framework to establish the existence of a weak Pareto efficient, envy-free allocation in general settings: random allocations are probability measures on a compact metric space, and preferences of agents are represented…

Theoretical Economics · Economics 2026-05-28 Anna Vakarova

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

In the multidimensional stable roommate problem, agents have to be allocated to rooms and have preferences over sets of potential roommates. We study the complexity of finding good allocations of agents to rooms under the assumption that…

Computer Science and Game Theory · Computer Science 2020-05-01 Niclas Boehmer , Edith Elkind

Motivated by a plethora of practical examples where bias is induced by automated-decision making algorithms, there has been strong recent interest in the design of fair algorithms. However, there is often a dichotomy between fairness and…

Artificial Intelligence · Computer Science 2023-07-13 April Niu , Agnes Totschnig , Adrian Vetta

A central problem in multiagent systems is the fair assignment of objects to agents. In this paper, we initiate the analysis of classic majoritarian social choice functions in assignment. Exploiting the special structure of the assignment…

Theoretical Economics · Economics 2026-05-20 Felix Brandt , Haoyuan Chen , Chris Dong , Patrick Lederer , Alexander Schlenga

Designing two-sided matching mechanisms is challenging when practical demands for matching outcomes are difficult to formalize and the designed mechanism must satisfy theoretical conditions. To address this, prior work has proposed a…

Artificial Intelligence · Computer Science 2025-07-31 Ryota Maruo , Koh Takeuchi , Hisashi Kashima

We study the problem of fairly allocating indivisible items to agents with different entitlements, which captures, for example, the distribution of ministries among political parties in a coalition government. Our focus is on picking…

Computer Science and Game Theory · Computer Science 2021-08-24 Mithun Chakraborty , Ulrike Schmidt-Kraepelin , Warut Suksompong

We study the fair division of items to agents supposing that agents can form groups. We thus give natural generalizations of popular concepts such as envy-freeness and Pareto efficiency to groups of fixed sizes. Group envy-freeness requires…

Computer Science and Game Theory · Computer Science 2020-06-30 Martin Aleksandrov , Toby Walsh

We consider the fair division problem of indivisible items. It is well-known that an envy-free allocation may not exist, and a relaxed version of envy-freeness, envy-freeness up to one item (EF1), has been widely considered. In an EF1…

Computer Science and Game Theory · Computer Science 2022-11-30 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

I study the problem of allocating objects among agents without using money. Agents can receive several objects and have dichotomous preferences, meaning that they either consider objects to be acceptable or not. In this setup, the…

Economics · Quantitative Finance 2018-07-09 Josue Ortega

We study the linear contextual bandit problem where an agent has to select one candidate from a pool and each candidate belongs to a sensitive group. In this setting, candidates' rewards may not be directly comparable between groups, for…

Machine Learning · Statistics 2022-12-21 Riccardo Grazzi , Arya Akhavan , John Isak Texas Falk , Leonardo Cella , Massimiliano Pontil

We consider Pareto-optimal matchings (POMs) in a many-to-many market of applicants and courses where applicants have preferences, which may include ties, over individual courses and lexicographic preferences over sets of courses. Since this…

Computer Science and Game Theory · Computer Science 2015-12-07 Katarína Cechlárová , Pavlos Eirinakis , Tamás Fleiner , Dimitrios Magos , David Manlove , Ioannis Mourtos , Eva Oceláková , Baharak Rastegari

We investigate the problem of random assignment of indivisible goods, in which each agent has an ordinal preference and a constraint. Our goal is to characterize the conditions under which there always exists a random assignment that…

Computer Science and Game Theory · Computer Science 2024-12-30 Yasushi Kawase , Hanna Sumita , Yu Yokoi

We study mechanisms for an allocation of goods among agents, where agents have no incentive to lie about their true values (incentive compatible) and for which no agent will seek to exchange outcomes with another (envy-free). Mechanisms…

Computer Science and Game Theory · Computer Science 2010-03-30 Edith Cohen , Michal Feldman , Amos Fiat , Haim Kaplan , Svetlana Olonetsky

In its most traditional setting, the main concern of optimization theory is the search for optimal solutions for instances of a given computational problem. A recent trend of research in artificial intelligence, called solution diversity,…

Artificial Intelligence · Computer Science 2021-05-21 Emmanuel Arrighi , Henning Fernau , Daniel Lokshtanov , Mateus de Oliveira Oliveira , Petra Wolf

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…

Computer Science and Game Theory · Computer Science 2025-12-12 Jugal Garg , Vishnu V. Narayan , Yuang Eric Shen