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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…

统计力学 · 物理学 2009-10-31 G. Caldarelli , A. Capocci

In the Stable Marriage Problem two sets of agents must be paired according to mutual preferences, which may happen to conflict. We present two generalizations of its sex-oriented version, aiming to take into account correlations between the…

无序系统与神经网络 · 物理学 2009-11-07 G. Caldarelli , Andrea Capocci , Paolo Laureti

We study the stable marriage problem in the partial information setting where the agents, although they have an underlying true strict linear order, are allowed to specify partial orders. Specifically, we focus on the case where the agents…

计算机科学与博弈论 · 计算机科学 2018-10-09 Vijay Menon , Kate Larson

We analyze different ways of pairing agents in a bipartite matching problem, with regard to its scaling properties and to the distribution of individual ``satisfactions''. Then we explore the role of partial information and bounded…

统计力学 · 物理学 2009-11-10 Paolo Laureti , Yi-Cheng Zhang

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…

人工智能 · 计算机科学 2016-11-25 Maria Silvia Pini , Francesca Rossi , Brent Venable , Toby Walsh

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…

凝聚态物理 · 物理学 2009-10-30 M. J. Omero , M. Dzierzawa , M. Marsili , Y. -C. Zhang

Bipartite matching problem is to study two disjoint groups of agents who need to be matched pairwise. It can be applied to many real-world scenarios and explain many social phenomena. In this article, we study the effect of competition on…

物理与社会 · 物理学 2018-11-15 Yi-Xiu Kong , Guang-Hui Yuan , Lei Zhou , Rui-Jie Wu , Gui-Yuan Shi

We propose and investigate a model for mate searching and marriage in large societies based on a stochastic matching process and simple decision rules. Agents have preferences among themselves given by some probability distribution. They…

理论经济学 · 经济学 2021-08-20 Davi B. Costa

We consider decision-making under incomplete information about an unknown state of nature. We show that a decision problem yields a higher value of information than another, uniformly across information structures, if and only if it is…

最优化与控制 · 数学 2026-03-16 Michel de Lara

Most of the mammal species hold polygynous mating systems. The majority of the marriage systems of mankind were also polygynous over civilized history, however, socially imposed monogamy gradually prevails throughout the world. This is…

社会与信息网络 · 计算机科学 2020-08-28 Ning Cai , Chen Diao , Bo-Han Yan , Jin-Hu Liu

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…

物理与社会 · 物理学 2018-06-26 Gui-Yuan Shi , Yi-Xiu Kong , Bo-Lun Chen , Guang-Hui Yuan , Rui-Jie Wu

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…

物理与社会 · 物理学 2021-03-23 Enrico Maria Fenoaltea , Izat B. Baybusinov , Jianyang Zhao , Lei Zhou , Yi-Cheng Zhang

We study the effects of introducing information inefficiency in a model for a random linear economy with a representative consumer. This is done by considering statistical, instead of classical, economic general equilibria. Employing two…

综合金融 · 定量金融 2016-10-11 Joao Pedro Jerico , Renato Vicente

The stable marriage problem, as addressed by Gale and Shapely [1] consists of providing a bipartite matching between n " boys " and n " girls "-each of whom have a totally ordered preference list over the other set-such that there exists no…

计算机科学与博弈论 · 计算机科学 2016-08-30 Mircea Adrian Digulescu

In many economic contexts, agents from a same population team up to better exploit their human capital. In such contexts (often called "roommate matching problems"), stable matchings may fail to exist even when utility is transferable. We…

综合经济学 · 经济学 2021-02-15 Pierre-André Chiappori , Alfred Galichon , Bernard Salanié

Some aspects of the problem of stable marriage are discussed. There are two distinguished marriage plans: the fully transferable case, where money can be transferred between the participants, and the fully non transferable case where each…

计量经济学 · 经济学 2018-05-18 Gershon Wolansky

This paper examines games with strategic complements or substitutes and incomplete information, where players are uncertain about the opponents' parameters. We assume that the players' beliefs about the opponent's parameters are selected…

理论经济学 · 经济学 2025-01-28 Joep van Sloun

In the stable marriage problem, a set of men and a set of women are given, each of whom has a strictly ordered preference list over the acceptable agents in the opposite class. A matching is called stable if it is not blocked by any pair of…

离散数学 · 计算机科学 2019-07-25 Ágnes Cseh , Klaus Heeger

Two-sided matching markets describe a large class of problems wherein participants from one side of the market must be matched to those from the other side according to their preferences. In many real-world applications (e.g. content…

计算机科学与博弈论 · 计算机科学 2024-10-16 Hadi Hosseini , Sanjukta Roy , Duohan Zhang

This paper introduces a bilateral matching mechanism to explain why different populations have different levels of cooperation. The traditional game theory assumes that individuals can acquire their neighbor's information without cost after…

计算机科学与博弈论 · 计算机科学 2022-12-29 Xiaoming Gong
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