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We provide a problem definition of the stable marriage problem for a general number of parties $p$ under a natural preference scheme in which each person has simple lists for the other parties. We extend the notion of stability in a natural…

Computer Science and Game Theory · Computer Science 2015-09-11 Jared D. Lichtman

We introduce a model of dynamic matching with transferable utility, extending the static model of Shapley and Shubik (1971). Forward-looking agents have individual states that evolve with current matches. Each period, a matching market with…

Econometrics · Economics 2026-04-23 Pauline Corblet , Jeremy Fox , Alfred Galichon

We consider a stochastic bipartite matching model consisting of multi-class customers and multi-class servers. Compatibility constraints between the customer and server classes are described by a bipartite graph. Each time slot, exactly one…

Probability · Mathematics 2022-01-12 Céline Comte , Jan-Pieter Dorsman

Let $G=(U \cup V, E)$ be a bipartite graph, where $U$ represents jobs and $V$ represents machines. We study a new variant of the bipartite matching problem in which each job in $U$ can be matched to at most one machine in $V$, and the…

Data Structures and Algorithms · Computer Science 2025-08-28 Shaul Rosner , Tami Tamir

I relate bipartite graph matchings to stable matchings. I prove a necessary and sufficient condition for the existence of a saturating stable matching, where every agent on one side is matched, for all possible preferences. I extend my…

Computer Science and Game Theory · Computer Science 2021-07-09 Muhammad Maaz

Caseworkers in foster care systems match waiting children to adoptive homes. We use dynamic matching market design to characterize a class of mechanisms that incentivize expedient matches that homes can accept or decline. We design…

Theoretical Economics · Economics 2025-08-18 Terence Highsmith

This paper studies the (group) strategy-proofness aspect of two-sided matching markets under stability. For a one-to-one matching market, we show an equivalence between individual and group strategy-proofness under stability. We obtain this…

Theoretical Economics · Economics 2023-10-10 Pinaki Mandal

We study resource allocation in two-sided markets from a fundamental perspective and introduce a general modeling and algorithmic framework to effectively incorporate the complex and multidimensional aspects of fairness. Our main technical…

Computer Science and Game Theory · Computer Science 2025-06-03 Javier Cembrano , Andrés Moraga , Victor Verdugo

The academic job market for new statisticians is highly congested at the interview stage, where departments must rank and select candidates from large applicant pools without credible signals of candidate interest. As a result, interviews…

Applications · Statistics 2026-04-17 Ali Kaazempur-Mofrad , Xiaowu Dai , Xuming He

In this work, we consider a computational model of a distributed system formed by a set of servers in which jobs, that are continuously arriving, have to be executed. Every job is formed by a set of dependent tasks (i.~e., each task may…

Networking and Internet Architecture · Computer Science 2019-10-07 Vicent Cholvi , Juan Echagüe , Antonio Fernández Anta , Christopher Thraves Caro

Toward explaining the persistence of biased inferences, we propose a framework to evaluate competing (mis)specifications in strategic settings. Agents with heterogeneous (mis)specifications coexist and draw Bayesian inferences about their…

Theoretical Economics · Economics 2023-02-14 Kevin He , Jonathan Libgober

Standard micro-economics concentrate on the description of markets but is seldom interested in production. Several economists discussed the concept of a firm, as opposed to an open labour market where entrepreneurs would recrute workers on…

General Finance · Quantitative Finance 2008-12-02 G. Weisbuch , D. Stauffer , D. Mangalagiu , R. Ben-Av , S. Solomon

A longer and more correct title is `a short and direct path to the theory of stable contract systems in a bipartite market'. There is no new meaningful results in the article. It is dedicated to the presentation of a short method for…

Theoretical Economics · Economics 2025-11-21 Vladimir Danilov

Stable matching is a fundamental problem studied both in economics and computer science. The task is to find a matching between two sides of agents that have preferences over who they want to be matched with. A matching is stable if no pair…

Computer Science and Game Theory · Computer Science 2024-03-11 Juho Hirvonen , Sara Ranjbaran

We consider a two-sided matching problem in which the agents on one side have dichotomous preferences and the other side representing institutions has strict preferences (priorities). It captures several important applications in matching…

Computer Science and Game Theory · Computer Science 2025-02-17 Haris Aziz , Md. Shahidul Islam , Szilvia Pápai

We use the indirect evolutionary approach to study evolutionarily stable preferences against multiple mutations in single- and multi-population matching settings, respectively. Players choose strategies to maximize their subjective…

Computer Science and Game Theory · Computer Science 2025-07-08 Yu-Sung Tu , Wei-Torng Juang

A commonly used approach to study stability in a complex system is by analyzing the Jacobian matrix at an equilibrium point of a dynamical system. The equilibrium point is stable if all eigenvalues have negative real parts. Here, by…

Populations and Evolution · Quantitative Biology 2016-09-02 James P. L. Tan

A matching queue is described via a graph $G$ together with a matching policy. Specifically, to each node in the graph there is a corresponding arrival process of items which can either be queued, or matched with queued items in neighboring…

Probability · Mathematics 2017-03-08 Pascal Moyal , Ohad Perry

We study the performance of general dynamic matching models. This model is defined by a connected graph, where nodes represent the class of items and the edges the compatibilities between items. Items of different classes arrive one by one…

Computer Science and Game Theory · Computer Science 2020-09-22 Arnaud Cadas , Josu Doncel , Jean-Michel Fourneau , Ana Bušić

We define and study a new variant of the secretary problem. Whereas in the classic setting multiple secretaries compete for a single position, we study the case where the secretaries arrive one at a time and are assigned, in an on-line…

Computer Science and Game Theory · Computer Science 2017-05-05 Yakov Babichenko , Yuval Emek , Michal Feldman , Boaz Patt-Shamir , Ron Peretz , Rann Smorodinsky
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