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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

Many-to-one matching markets exist in numerous different forms, such as college admissions, matching medical interns to hospitals for residencies, assigning housing to college students, and the classic firms and workers market. In all these…

Social and Information Networks · Computer Science 2011-07-25 Elizabeth Bodine-Baron , Christina Lee , Anthony Chong , Babak Hassibi , Adam Wierman

We propose a dynamic model of a prediction market in which agents predict the values of a sequence of random vectors. The main result shows that if there are agents who make correct (or asymptotically correct) next-period forecasts, then…

Probability · Mathematics 2024-02-27 Nina Badulina , Dmitry Shatilovich , Mikhail Zhitlukhin

Stable matching in a community consisting of men and 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 Shapley, who…

Data Structures and Algorithms · Computer Science 2021-12-14 Hugo Gimbert , Claire Mathieu , Simon Mauras

Models of auctions or tendering processes are introduced. In every round of bidding the players select their bid from a probability distribution and whenever a bid is unsuccessful, it is discarded and replaced. For simple models, the…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 R. D'Hulst , G. J. Rodgers

Different agents need to make a prediction. They observe identical data, but have different models: they predict using different explanatory variables. We study which agent believes they have the best predictive ability -- as measured by…

Theoretical Economics · Economics 2023-02-01 Jose Luis Montiel Olea , Pietro Ortoleva , Mallesh M Pai , Andrea Prat

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

With recent development of artificial intelligence, it is more common to adopt AI agents in economic activities. This paper explores the economic actions of agents, including human agents and AI agents, in an economic game of trading…

Theoretical Economics · Economics 2026-03-03 Huan Cai , Ziqing Lu , Catherine Xu , Weiyu Xu , Jie Zheng

A minimal model of a market of myopic non-cooperative agents who trade bilaterally with random bids reproduces qualitative features of short-term electric power markets, such as those in California and New England. Each agent knows its own…

Trading and Market Microstructure · Quantitative Finance 2009-05-15 Randall A. LaViolette , Lory A. Ellebracht , Kevin L. Stamber , Charles J. Gieseler , Benjamin K. Cook

We study the welfare structure in two-sided large random matching markets. In the model, each agent has a latent personal score for every agent on the other side of the market and her preferences follow a logit model based on these scores.…

Theoretical Economics · Economics 2023-02-20 Itai Ashlagi , Mark Braverman , Geng Zhao

Prediction markets mobilize financial incentives to forecast binary event outcomes through the aggregation of dispersed beliefs and heterogeneous information. Their growing popularity and demonstrated predictive accuracy in political…

General Economics · Economics 2026-01-29 Bridget Smart , Ebba Mark , Anne Bastian , Josefina Waugh

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

We study a dynamic matching problem on a two-sided platform with unbalanced patience, in which long-lived supply accumulates over time with a unit waiting cost per period, while short-lived demand departs if not matched promptly. High- or…

Theoretical Economics · Economics 2026-02-05 Zhiyuan Chen , Rui , Chen , Ming Hu , Yun Zhou

This paper studies a decentralized many-to-one matching market where preferences remain uncertain during the matching process. Institutions initiate matching by sending offers, and applicants decide whether to accept upon receiving them.…

Theoretical Economics · Economics 2025-11-14 Yu-Ting Ho

We present an experimental study of decentralized two-sided matching markets with no transfers. Experimental participants are informed of everyone's preferences and can make arbitrary non-binding match offers that get finalized when a…

General Economics · Economics 2024-01-22 Federico Echenique , Alejandro Robinson-Cortés , Leeat Yariv

Markets increasingly accommodate large language models (LLMs) as autonomous decision-making agents. As this transition occurs, it becomes critical to evaluate how these agents behave relative to their human and task-specific statistical…

Artificial Intelligence · Computer Science 2026-01-27 Crystal Qian , Kehang Zhu , John Horton , Benjamin S. Manning , Vivian Tsai , James Wexler , Nithum Thain

We consider the one-sided matching problem, where n agents have preferences over n items, and these preferences are induced by underlying cardinal valuation functions. The goal is to match every agent to a single item so as to maximize the…

Computer Science and Game Theory · Computer Science 2020-09-15 Georgios Amanatidis , Georgios Birmpas , Aris Filos-Ratsikas , Alexandros A. Voudouris

In a stable matching problem there are two groups of agents, with agents on one side having their individual preferences for agents on another side as a potential match. It is assumed silently that agents can freely and costlessly ``switch"…

Combinatorics · Mathematics 2025-07-22 Boris Pittel , Kirill Rudov

AI agents are an exciting new research direction, and agent development is driven by benchmarks. Our analysis of current agent benchmarks and evaluation practices reveals several shortcomings that hinder their usefulness in real-world…

Machine Learning · Computer Science 2024-07-02 Sayash Kapoor , Benedikt Stroebl , Zachary S. Siegel , Nitya Nadgir , Arvind Narayanan

We consider a simple binary market model containing $N$ competitive agents. The novel feature of our model is that it incorporates the tendency shown by traders to look for patterns in past price movements over multiple time scales, i.e.…

Physics and Society · Physics 2009-11-11 Kurt E. Mitman , Sehyo Charley Choe , Neil F. Johnson