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Who gains and who loses from a manipulable school-choice mechanism? Studying the outcomes of sincere and sophisticated students under the manipulable Boston Mechanism as compared with the strategy-proof Deferred Acceptance, we provide…

Computer Science and Game Theory · Computer Science 2020-06-12 Moshe Babaioff , Yannai A. Gonczarowski , Assaf Romm

The stable marriage problem is a well-known problem of matching men to women so that no man and woman who are not married to each other both prefer each other. Such a problem has a wide variety of practical applications ranging from…

Artificial Intelligence · Computer Science 2009-09-25 Maria Pini , Francesca Rossi , Brent Venable , Toby Walsh

We study the trade-offs between strategyproofness and other desiderata, such as efficiency or fairness, that often arise in the design of random ordinal mechanisms. We use approximate strategyproofness to define manipulability, a measure to…

Computer Science and Game Theory · Computer Science 2017-01-11 Timo Mennle , Sven Seuken

Matching market models ignore prior commitments. Yet many job seekers, for example, are already employed, and the same holds for many other matching markets. I analyze two-sided matching markets with pre-existing binding agreements between…

Theoretical Economics · Economics 2024-11-04 Peter Doe

We study data exchange among strategic agents without monetary transfers, motivated by domains such as research consortia and healthcare collaborations where payments are infeasible or restricted. The central challenge is to reap the…

Computer Science and Game Theory · Computer Science 2026-02-13 Rashida Hakim , Christos Papadimitriou , Mihalis Yannakakis

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

Stable matching is a fundamental area with many practical applications, such as centralised clearinghouses for school choice or job markets. Recent work has introduced the paradigm of near-feasibility in capacitated matching settings, where…

Computer Science and Game Theory · Computer Science 2026-02-12 Frederik Glitzner

We study a dynamic contracting problem with multiple agents and limited commitment. A principal seeks to screen efficient agents using one-period contracts, but is tempted to revise contract terms upon knowing an agent's type. Alterations…

Theoretical Economics · Economics 2025-03-24 Mehmet Ekmekci , Lucas Maestri , Dong Wei

Centralized assignment markets have historically relied on Deferred-Acceptance (DA) algorithms, which do not incorporate multiple objectives into the assignment. In this work, we propose an optimization-based many-to-one assignment…

Optimization and Control · Mathematics 2025-09-19 Dimitris Bertsimas , Carol Gao

We consider the two-sided stable matching setting in which there may be uncertainty about the agents' preferences due to limited information or communication. We consider three models of uncertainty: (1) lottery model --- in which for each…

Computer Science and Game Theory · Computer Science 2016-07-12 Haris Aziz , Péter Biró , Serge Gaspers , Ronald de Haan , Nicholas Mattei , Baharak Rastegari

In the classical principal-agent hidden-action contract model, a principal delegates the execution of a costly task to an agent. In order to complete the task, the agent chooses an action from a set of actions, where each potential action…

Computer Science and Game Theory · Computer Science 2025-11-27 Tomer Ezra , Stefano Leonardi , Matteo Russo

We study the Popular Matching problem in multiple models, where the preferences of the agents in the instance may change or may be unknown/uncertain. In particular, we study an Uncertainty model, where each agent has a possible set of…

Computer Science and Game Theory · Computer Science 2025-06-06 Gergely Csáji

We focus on the one-to-one two-sided matching model with two disjoint sets of agents of equal size, where each agent in a set has preferences on the agents in the other set modeled by a linear order. A matching mechanism associates a set of…

Theoretical Economics · Economics 2024-11-27 Daniela Bubboloni , Michele Gori , Claudia Meo

A recent line of work in mechanism design has focused on guaranteeing incentive compatibility for agents without contingent reasoning skills: obviously strategyproof mechanisms guarantee that it is "obvious" for these imperfectly rational…

Computer Science and Game Theory · Computer Science 2023-12-14 Thomas Archbold , Bart de Keijzer , Carmine Ventre

Existing AI alignment approaches assume that preferences are static, which is unrealistic: our preferences change, and may even be influenced by our interactions with AI systems themselves. To clarify the consequences of incorrectly…

Artificial Intelligence · Computer Science 2024-05-29 Micah Carroll , Davis Foote , Anand Siththaranjan , Stuart Russell , Anca Dragan

In considering the college admissions problem, almost fifty years ago, Gale and Shapley came up with a simple abstraction based on preferences of students and colleges. They introduced the concept of stability and optimality; and proposed…

Computer Science and Game Theory · Computer Science 2011-05-04 Jian Liu , Dah Ming Chiu

In a voting problem with a finite set of alternatives to choose from, we study the manipulation of tops-only rules. Since all non-dictatorial (onto) voting rules are manipulable when there are more than two alternatives and all preferences…

Theoretical Economics · Economics 2022-10-24 R. Pablo Arribillaga , Agustin G. Bonifacio

Motivated by the increasing interest in the explicit representation and handling of various "preference" structures arising in modern digital economy, this work introduces a new class of "one-to-many stable-matching" problems where a set of…

Multiagent Systems · Computer Science 2025-03-19 Spyros Reveliotis , Eva Robillard

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

We study stable matchings that are robust to preference changes in the two-sided stable matching setting of Gale and Shapley[GS62]. Given two instances $A$ and $B$ on the same set of agents, a matching is said to be robust if it is stable…

Discrete Mathematics · Computer Science 2025-12-23 Rohith Reddy Gangam , Tung Mai , Nitya Raju , Vijay V. Vazirani