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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 study control problems in the context of matching under preferences: We examine how a central authority, called the controller, can manipulate an instance of the Stable Marriage or Stable Roommates problems in order to achieve certain…

Computer Science and Game Theory · Computer Science 2025-02-04 Jiehua Chen , Ildikó Schlotter

Fulfilling social connections are crucial for human well-being and belonging, but not all relationships last forever. As interactions increasingly move online, the act of digitally severing a relationship - e.g. through blocking or…

Human-Computer Interaction · Computer Science 2026-01-09 Michael Yin , Angela Chiang , Robert Xiao

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

The study of marriage dynamics and of strategies to reduce the likelihood of divorce has been an important research area for many years. Gottman's research on successful marriages revealed three matched interaction styles:…

Optimization and Control · Mathematics 2024-06-12 Micah Henson , Mark Kot , Ka-Kit Tung

We study the optimization of the stable marriage problem. All individuals attempt to optimize their own satisfaction, subject to mutually conflicting constraints. We find that the stable solutions are generally not the globally best…

Condensed Matter · Physics 2009-10-30 M. J. Omero , M. Dzierzawa , M. Marsili , Y. -C. Zhang

This paper develops a method to use singles' data in a non-parametric revealed preference setting of collective household choice. We use it to test the controversial assumption of preference stability between singles and couples, without…

Econometrics · Economics 2026-05-07 Stefan Hubner

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

The Balanced Stable Marriage problem is a central optimization version of the classic Stable Marriage problem. Here, the output cannot be an arbitrary stable matching, but one that balances between the dissatisfaction of the two parties,…

Data Structures and Algorithms · Computer Science 2017-08-01 Sushmita Gupta , Sanjukta Roy , Saket Saurabh , Meirav Zehavi

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

This paper proposes a novel empirical strategy to measure cultural justifications of domestic violence within households, with direct implications for demographic behavior and gender inequality. Leveraging survey data on individual…

General Economics · Economics 2025-11-05 Elena Pisanelli

Focusing on personal information disclosure, we apply control theory and the notion of the Order of Control to study people's understanding of the implications of information disclosure and their tendency to consent to disclosure. We…

Human-Computer Interaction · Computer Science 2020-06-25 Yefim Shulman , Thao Ngo , Joachim Meyer

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

Relationships are vital for mankind in many aspects. According to Maslow hierarchy of needs, it is suggested that while a healthy relationship is an essential part of a human life that fundamentally determines our goals and purposes, an…

The Stable Marriage Problem is to find a one-to-one matching for two equally sized sets of agents. Due to its widespread applications in the real world, especially the unique importance to the centralized match maker, a very large number of…

Physics and Society · Physics 2018-06-26 Gui-Yuan Shi , Yi-Xiu Kong , Bo-Lun Chen , Guang-Hui Yuan , Rui-Jie Wu

We study a dynamic model of the relationship between two people where the states depend on the "power" in the relationship. We perform a comprehensive analysis of stability of the system, and determine a set of conditions under which stable…

Multiagent Systems · Computer Science 2023-09-15 Sam Ganzfried

In this paper we consider stable marriage problem under the Monte Carlo simulations. We investigate how correlation in lists of preferrences can affect simulation results such as: relaxation time, time distribution of relaxation times etc.…

Adaptation and Self-Organizing Systems · Physics 2011-06-02 P. Nyczka , J. Cisło

The stable marriage problem has been introduced in order to describe a complex system where individuals attempt to optimise their own satisfaction, subject to mutually conflicting constraints. Due to the potential large applicability of…

Statistical Mechanics · Physics 2009-10-31 G. Caldarelli , A. Capocci

Economists modeled self-control problems in decisions of people with the time-inconsistence preferences model. They argued that the source of self-control problems could be uncertainty and temptation. This paper uses an experimental test…

General Economics · Economics 2024-02-20 Mohammad Mehdi Mousavi , Mahdi Kohan Sefidi , Shirin Allahyarkhani

We investigate a marriage divorces problem via agent - based modeling. Current value of socio-economic pressure p (main model parameter) drives the dynamic of first marriage, remarriage or spontaneously marriage breaks up. Model reflects…

Physics and Society · Physics 2018-05-09 Andrzej Jarynowski , Piotr Nyczka
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