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We present a revealed preference characterization of marital stability where some couples are committed. A couple is committed if they can divorce only with mutual consent. We provide theoretical insights into the potential of the…

General Economics · Economics 2024-09-04 Mikhail Freer , Khushboo Surana

We present a revealed preference framework to study sharing of resources in households with children. We explicitly model the impact of the presence of children in the context of stable marriage markets under both potential types of custody…

General Economics · Economics 2023-02-20 Mikhail Freer , Khushboo Surana

Consider the group of $n$ men and $n$ women, each with their own preference list for a potential marriage partner. The stable marriage is a bipartite matching such that no unmatched pair (man, woman) prefer each other to their partners in…

Combinatorics · Mathematics 2017-07-25 Boris Pittel

The stable marriage problem has a wide variety of practical applications, ranging from matching resident doctors to hospitals, to matching students to schools, or more generally to any two-sided market. We consider a useful variation of the…

Artificial Intelligence · Computer Science 2010-07-06 Mirco Gelain , Maria Silvia Pini , Francesca RossI , Kristen Brent Venable , Toby Walsh

We study many-to-one matching problems between institutions and individuals, where each institution may be matched to multiple individuals. The matching market includes couples, who view pairs of institutions as complementary. Institutions'…

Theoretical Economics · Economics 2025-07-11 Shashwat Khare , Souvik Roy

Focusing on the bipartite Stable Marriage problem, we investigate different robustness measures related to stable matchings. We analyze the computational complexity of computing them and analyze their behavior in extensive experiments on…

Computer Science and Game Theory · Computer Science 2024-08-20 Kimon Boehmer , Niclas Boehmer

This paper studies matching markets where institutions are matched with possibly more than one individual. The matching market contains some couples who view the pair of jobs as complements. First, we show by means of an example that a…

Theoretical Economics · Economics 2025-07-11 Shashwat Khare , Souvik Roy , Ton Storcken

We present a fascinating model that has lately caught attention among physicists working in complexity related fields. Though it originated from mathematics and later from economics, the model is very enlightening in many aspects that we…

Physics and Society · Physics 2021-03-23 Enrico Maria Fenoaltea , Izat B. Baybusinov , Jianyang Zhao , Lei Zhou , Yi-Cheng Zhang

In the stable marriage problem N men and N women have to be matched by pairs under the constraint that the resulting matching is stable. We study the statistical properties of stable matchings in the large N limit using both numerical and…

Statistical Mechanics · Physics 2009-10-31 Michael Dzierzawa , Marie-Jose Omero

In two-sided matching markets, ensuring both stability and strategy-proofness poses a significant challenge; it is impossible when agents' preferences are unrestricted. But what if agents' preferences have specific restricted structures?…

Theoretical Economics · Economics 2025-07-03 Pinaki Mandal

We introduce a generalized version of the famous Stable Marriage problem, now based on multi-modal preference lists. The central twist herein is to allow each agent to rank its potentially matching counterparts based on more than one…

Multiagent Systems · Computer Science 2018-01-10 Jiehua Chen , Rolf Niedermeier , Piotr Skowron

We propose a generalization of the classical stable marriage problem. In our model, the preferences on one side of the partition are given in terms of arbitrary binary relations, which need not be transitive nor acyclic. This generalization…

Computer Science and Game Theory · Computer Science 2014-07-28 Linda Farczadi , Konstantinos Georgiou , Jochen Könemann

We study partial identification of the preference parameters in the one-to-one matching model with perfectly transferable utilities. We do so without imposing parametric distributional assumptions on the unobserved heterogeneity and with…

Econometrics · Economics 2022-07-28 Cristina Gualdani , Shruti Sinha

In this paper, we consider a matroid generalization of the stable matching problem. In particular, we consider the setting where preferences may contain ties. For this generalization, we propose a polynomial-time algorithm for the problem…

Computer Science and Game Theory · Computer Science 2026-01-19 Naoyuki Kamiyama

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 2016-11-25 Maria Silvia Pini , Francesca Rossi , Brent Venable , Toby Walsh

We study stable matching problems with locality of information and control. In our model, each agent is a node in a fixed network and strives to be matched to another agent. An agent has a complete preference list over all other agents it…

Data Structures and Algorithms · Computer Science 2016-11-22 Martin Hoefer , Lisa Wagner

Can stated preferences help in counterfactual analyses of actual choice? This research proposes a novel approach to researchers who have access to both stated choices in hypothetical scenarios and actual choices. The key idea is to use…

Econometrics · Economics 2023-07-27 Romuald Meango

We study the classical, two-sided stable marriage problem under pairwise preferences. In the most general setting, agents are allowed to express their preferences as comparisons of any two of their edges and they also have the right to…

Discrete Mathematics · Computer Science 2018-10-02 Ágnes Cseh , Attila Juhos

The literature on centralized matching markets often assumes that a true preference of each player is known to herself and fixed, but empirical evidence casts doubt on its plausibility. To circumvent the problem, we consider evolutionary…

Theoretical Economics · Economics 2022-05-18 Hidemasa Ishii , Nariaki Nishino

We introduce a new and broader formulation of the stable marriage problem (SMP), called the stable polygamy problem (SPP), where multiple individuals from a larger group $L$ of $|L|$ individuals can be matched with a single individual from…

Systems and Control · Electrical Eng. & Systems 2024-08-23 Dan Ben Ami , Kobi Cohen
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