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In many machine learning applications, there are multiple decision-makers involved, both automated and human. The interaction between these agents often goes unaddressed in algorithmic development. In this work, we explore a simple version…

Machine Learning · Statistics 2018-09-10 David Madras , Toniann Pitassi , Richard Zemel

As a robot senses and selects actions, the world keeps changing. This inference delay creates a gap of tens to hundreds of milliseconds between the observed state and the state at execution. In this work, we take the natural generalization…

Robotics · Computer Science 2026-03-25 Aileen Liao , Dong-Ki Kim , Max Olan Smith , Ali-akbar Agha-mohammadi , Shayegan Omidshafiei

To guarantee all agents are matched in general, the classic Deferred Acceptance algorithm needs complete preference lists. In practice, preference lists are short, yet stable matching still works well. This raises two questions: $\bullet$…

Computer Science and Game Theory · Computer Science 2023-05-02 Ishan Agarwal , Richard Cole

State-of-the-art results in typical classification tasks are mostly achieved by unexplainable machine learning methods, like deep neural networks, for instance. Contrarily, in this paper, we investigate the application of rule learning…

Machine Learning · Computer Science 2024-03-11 Albert Nössig , Tobias Hell , Georg Moser

While utilization of digital agents to support crucial decision making is increasing, trust in suggestions made by these agents is hard to achieve. However, it is essential to profit from their application, resulting in a need for…

Machine Learning · Computer Science 2022-04-21 Michael Heider , Helena Stegherr , Jonathan Wurth , Roman Sraj , Jörg Hähner

In real-world settings of the Deferred Acceptance stable matching algorithm, such as the American medical residency match (NRMP), school choice programs, and various national university entrance systems, candidates need to decide which…

Computer Science and Game Theory · Computer Science 2025-06-25 Richard Cole , Pranav Jangir

We study the design of information acquisition games-environments where a designer contracts their action on Sender's choice of experiment and the realized signals about some state-and identify which predictions can be made absent knowledge…

Theoretical Economics · Economics 2026-01-22 Eric Gao , Daniel Luo

In a setting of many-to-one two-sided matching with non-transferable utilities, e.g., college admissions, we study conditions under which preferences of both sides are identified with data on one single market. Regardless of whether the…

Econometrics · Economics 2023-07-11 YingHua He , Shruti Sinha , Xiaoting Sun

Two-sided matching markets have long existed to pair agents in the absence of regulated exchanges. A common example is school choice, where a matching mechanism uses student and school preferences to assign students to schools. In such…

Machine Learning · Computer Science 2021-09-17 Stefania Ionescu , Yuhao Du , Kenneth Joseph , Anikó Hannák

This paper proposes a novel school choice system where schools are grouped into hierarchical bundles and offered to students as options for preference reports. By listing a bundle, a student seeks admission to any school within it without…

Theoretical Economics · Economics 2025-11-27 Lingbo Huang , Jun Zhang

We investigate the allocation of children to childcare facilities and propose solutions to overcome limitations in the current allocation mechanism. We introduce a natural preference domain and a priority structure that address these…

Theoretical Economics · Economics 2023-08-29 Ata Atay , Antonio Romero-Medina

The standard two-sided and one-sided matching problems, and the closely related school choice problem, have been widely studied from an axiomatic viewpoint. A small number of algorithms dominate the literature. For two-sided matching, the…

Computer Science and Game Theory · Computer Science 2017-03-14 Jacky Lo , Mark C. Wilson

In a typical school choice application, the students have strict preferences over the schools while the schools have coarse priorities over the students based on their distance and their enrolled siblings. The outcome of a centralized…

Computer Science and Game Theory · Computer Science 2026-02-12 Haris Aziz , Péter Biró , Gergely Csáji , Tom Demeulemeester

We introduce a new family of mechanisms for one-sided matching markets, denoted pick-an-object (PAO) mechanisms. When implementing an allocation rule via PAO, agents are asked to pick an object from individualized menus. These choices may…

Theoretical Economics · Economics 2023-02-07 Inácio Bó , Rustamdjan Hakimov

Feature attribution methods help make machine learning-based inference explainable by determining how much one or several features have contributed to a model's output. A particularly popular attribution method is based on the Shapley value…

Artificial Intelligence · Computer Science 2025-11-04 Filip Naudot , Tobias Sundqvist , Timotheus Kampik

We study the distribution of envy in random matching markets under the Deferred Acceptance (DA) algorithm. Using tools from applied probability, we compute the expected number of proposing agents whom nobody envies and those who envy…

Theoretical Economics · Economics 2026-03-25 Josué Ortega , Gabriel Ziegler , R. Pablo Arribillaga , Geng Zhao

We examine the problem of assigning teachers to public schools over time when teachers have tenured positions and can work simultaneously in multiple schools. To do this, we investigate a dynamic many-to-many school choice problem where…

Theoretical Economics · Economics 2025-05-26 Adriana Amieva , Agustín G. Bonifacio , Pablo Neme

We study the strategic simplicity of stable matching mechanisms where one side has fixed preferences, termed priorities. Specifically, we ask which priorities are such that the strategyproofness of deferred acceptance (DA) can be recognized…

Theoretical Economics · Economics 2021-03-01 Clayton Thomas

We study a school choice problem under affirmative action policies where authorities reserve a certain fraction of the slots at each school for specific student groups, and where students have preferences not only over the schools they are…

Theoretical Economics · Economics 2020-05-05 Orhan Aygün , Bertan Turhan

Agents care not only about the outcomes of collective decisions but also about how decisions are made. In many cases, both the outcome and the procedure affect whether agents see a decision as legitimate, justifiable, or acceptable. We…

Computer Science and Game Theory · Computer Science 2023-10-12 Ben Abramowitz , Nicholas Mattei