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Matching markets are often organized in a multi-stage and decentralized manner. Moreover, participants in real-world matching markets often have uncertain preferences. This article develops a framework for learning optimal strategies in…

Computer Science and Game Theory · Computer Science 2021-12-21 Xiaowu Dai , Michael I. Jordan

Many centralized mechanisms for two-sided matching markets that enjoy strong theoretical properties assume that the planner solicits full information on the preferences of each participating agent. In particular, they expect that…

Computer Science and Game Theory · Computer Science 2025-06-09 Yuri Faenza , Aapeli Vuorinen

We initiate the study of distortion in stable matching. Concretely, we aim to design algorithms that have limited access to the agents' cardinal preferences and compute stable matchings of high quality with respect to some aggregate…

Computer Science and Game Theory · Computer Science 2026-02-17 Aris Filos-Ratsikas , Georgios Kalantzis

We study a practical centralized matching problem which assigns children to daycare centers. The collective preferences of siblings from the same family introduce complementarities, which can lead to the absence of stable matchings, as…

Computer Science and Game Theory · Computer Science 2025-01-23 Zhaohong Sun , Tomohiko Yokoyama , Makoto Yokoo

We examine a controlled school choice model where students are categorized into different types, and the distribution of these types within a school influences its priority structure. This study provides a general framework that integrates…

Theoretical Economics · Economics 2025-03-25 Minoru Kitahara , Yasunori Okumura

We consider a set of secondary transmitter-receiver pairs in a cognitive radio setting. Based on channel sensing and access performances, we consider the problem of assigning channels orthogonally to secondary users through distributed…

Information Theory · Computer Science 2016-11-17 Rami Mochaourab , Bernd Holfeld , Thomas Wirth

In a stable matching setting, we consider a query model that allows for an interactive learning algorithm to make precisely one type of query: proposing a matching, the response to which is either that the proposed matching is stable, or a…

Computer Science and Game Theory · Computer Science 2020-09-22 Ehsan Emamjomeh-Zadeh , Yannai A. Gonczarowski , David Kempe

Stable matching in a community consisting of $N$ men and $N$ women is a classical combinatorial problem that has been the subject of intense theoretical and empirical study since its introduction in 1962 in a seminal paper by Gale and…

Computer Science and Game Theory · Computer Science 2020-05-19 Simon Mauras

Background: Any sample of individuals has its own, unique distribution of preferences for choices that they make. Discrete choice models try to capture these distributions. Mixed logits are by far the most commonly used choice model in…

Econometrics · Economics 2025-06-18 John Buckell , Alice Wreford , Matthew Quaife , Thomas O. Hancock

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

This paper introduces a unified framework for stable matching, which nests the traditional definition of stable matching in finite markets and the continuum definition of stable matching from Azevedo and Leshno (2016) as special cases.…

Theoretical Economics · Economics 2022-05-26 Nick Arnosti

The Deferred Acceptance algorithm is a popular school allocation mechanism thanks to its strategy proofness. However, with application costs, strategy proofness fails, leading to an identification problem. In this paper, I address this…

General Economics · Economics 2020-11-02 Shanjukta Nath

In the real world, people/entities usually find matches independently and autonomously, such as finding jobs, partners, roommates, etc. It is possible that this search for matches starts with no initial knowledge of the environment. We…

Machine Learning · Computer Science 2021-12-07 Kshitija Taywade , Judy Goldsmith , Brent Harrison

Many important stable matching problems are known to be NP-hard, even when strong restrictions are placed on the input. In this paper we seek to identify structural properties of instances of stable matching problems which will allow us to…

Computer Science and Game Theory · Computer Science 2018-12-14 Kitty Meeks , Baharak Rastegari

We study the problem of online learning in competitive settings in the context of two-sided matching markets. In particular, one side of the market, the agents, must learn about their preferences over the other side, the firms, through…

Artificial Intelligence · Computer Science 2022-06-07 Chinmay Maheshwari , Eric Mazumdar , Shankar Sastry

Choice models, which capture popular preferences over objects of interest, play a key role in making decisions whose eventual outcome is impacted by human choice behavior. In most scenarios, the choice model, which can effectively be viewed…

Methodology · Statistics 2011-09-22 Vivek F. Farias , Srikanth Jagabathula , Devavrat Shah

The matching literature often recommends market centralization under the assumption that agents know their own preferences and that their preferences are fixed. We find counterevidence to this assumption in a quasi-experiment. In Germany's…

General Economics · Economics 2022-06-07 Julien Grenet , YingHua He , Dorothea Kübler

We study the problem of decision-making in the setting of a scarcity of shared resources when the preferences of agents are unknown a priori and must be learned from data. Taking the two-sided matching market as a running example, we focus…

Computer Science and Game Theory · Computer Science 2021-11-24 Xiaowu Dai , Michael I. Jordan

Aligning large language models (LLMs) with human values and intents critically involves the use of human or AI feedback. While dense feedback annotations are expensive to acquire and integrate, sparse feedback presents a structural design…

Machine Learning · Computer Science 2024-02-07 Hritik Bansal , John Dang , Aditya Grover

Increasing aggregate diversity (or catalog coverage) is an important system-level objective in many recommendation domains where it may be desirable to mitigate the popularity bias and to improve the coverage of long-tail items in…

Information Retrieval · Computer Science 2020-06-09 Farzad Eskandanian , Bamshad Mobasher