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In a housing market of Shapley and Scarf, each agent is endowed with one indivisible object and has preferences over all objects. An allocation of the objects is in the (strong) core if there exists no (weakly) blocking coalition. In this…

Theoretical Economics · Economics 2021-02-02 Péter Biró , Flip Klijn , Xenia Klimentova , Ana Viana

We study stable allocations in an exchange economy with indivisible goods. The problem is well-known to be challenging, and rich enough to encode fundamentally unstable economies, such as the roommate problem. Our approach stems from…

Theoretical Economics · Economics 2024-02-23 Federico Echenique , Sumit Goel , SangMok Lee

Reallocating resources to get mutually beneficial outcomes is a fundamental problem in various multi-agent settings. While finding an arbitrary Pareto optimal allocation is generally easy, checking whether a particular allocation is Pareto…

Computer Science and Game Theory · Computer Science 2018-05-18 Haris Aziz , Peter Biro , Jerome Lang , Julien Lesca , Jerome Monnot

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

We study the classic house-swapping problem of Shapley and Scarf (1974) in a setting where agents may have "objective" indifferences, i.e., indifferences that are shared by all agents. In other words, if any one agent is indifferent between…

Theoretical Economics · Economics 2023-06-21 Will Sandholtz , Andrew Tai

We consider a housing market model with limited externalities where agents care both about their own consumption via demand preferences and about the agent who receives their endowment via supply preferences (we extend the associated…

Theoretical Economics · Economics 2025-08-08 Bettina Klaus

This paper focuses on the problem of fairly and efficiently allocating resources to agents. We consider a specific setting, usually referred to as a housing market, where each agent must receive exactly one resource (and initially owns…

Artificial Intelligence · Computer Science 2021-04-20 Aurélie Beynier , Nicolas Maudet , Simon Rey , Parham Shams

We consider reallocation problems in settings where the initial endowment of each agent consists of a subset of the resources. The private information of the players is their value for every possible subset of the resources. The goal is to…

Computer Science and Game Theory · Computer Science 2014-04-29 Liad Blumrosen , Shahar Dobzinski

Consider the object allocation (one-sided matching) model of Shapley and Scarf (1974). When final allocations are observed but agents' preferences are unknown, when might the allocation be in the core? This is a one-sided analogue of the…

Theoretical Economics · Economics 2023-08-08 Andrew Tai

When allocating indivisible objects via lottery, planners often use ordinal mechanisms, which elicit agents' rankings of objects rather than their full preferences over lotteries. In such an ordinal informational environment, planners…

Theoretical Economics · Economics 2025-08-21 Eun Jeong Heo , Vikram Manjunath , Samson Alva

This paper studies an online variant of the celebrated housing market problem, where each agent has a single house and seeks to exchange it for another based on her preferences. In this online setting, agents may arrive and depart at any…

Computer Science and Game Theory · Computer Science 2025-07-25 Julien Lesca

We study multi-type housing markets, where there are $p\ge 2$ types of items, each agent is initially endowed one item of each type, and the goal is to design mechanisms without monetary transfer to (re)allocate items to the agents based on…

Computer Science and Game Theory · Computer Science 2016-11-24 Sibel Adali , Sujoy Sikdar , Lirong Xia

We study housing markets as introduced by Shapley and Scarf (1974). We investigate the computational complexity of various questions regarding the situation of an agent $a$ in a housing market $H$: we show that it is $\mathsf{NP}$-hard to…

Computer Science and Game Theory · Computer Science 2024-01-11 Ildikó Schlotter , Péter Biró , Tamás Fleiner

The housing market setting constitutes a fundamental model of exchange economies of goods. Most of the work concerning housing markets does not cater for randomized assignments or allocation of time-shares. House allocation with fractional…

Computer Science and Game Theory · Computer Science 2018-05-31 Haris Aziz

In many applications such as rationing medical care and supplies, university admissions, and the assignment of public housing, the decision of who receives an allocation can be justified by various normative criteria. Such settings have…

Computer Science and Game Theory · Computer Science 2023-05-30 Siddhartha Banerjee , Matthew Eichhorn , David Kempe

We study the strong core of housing markets when agents' preferences over houses are expressed as partial orders. We provide a structural characterization of the strong core, and propose an efficient algorithm that finds an allocation in…

Computer Science and Game Theory · Computer Science 2025-02-10 Ildikó Schlotter , Lydia Mirabel Mendoza-Cadena

Autonomous robots are increasingly utilized in realistic scenarios with multiple complex tasks. In these scenarios, there may be a preferred way of completing all of the given tasks, but it is often in conflict with optimal execution.…

Robotics · Computer Science 2023-06-26 Peter Amorese , Morteza Lahijanian

The housing market, also known as one-sided matching market, is a classic exchange economy model where each agent on the demand side initially owns an indivisible good (a house) and has a personal preference over all goods. The goal is to…

Computer Science and Game Theory · Computer Science 2026-01-08 Shiyun Lin

We consider transferable-utility profit-sharing games that arise from settings in which agents need to jointly choose one of several alternatives, and may use transfers to redistribute the welfare generated by the chosen alternative. One…

Theoretical Economics · Economics 2019-09-26 Moshe Babaioff , Uriel Feige

We study the assignment problem of objects to agents with heterogeneous preferences under distributional constraints. Each agent is associated with a publicly known type and has a private ordinal ranking over objects. We are interested in…

Data Structures and Algorithms · Computer Science 2019-05-02 Itai Ashlagi , Amin Saberi , Ali Shameli
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