Self-Organized Societies: On the Sakoda Model of Social Interactions

Medina, Pablo; Goles, Éric; Zarama, Roberto; Rica, Sergio

doi:10.1155/2017/3548591

Cited by 13 publications

(17 citation statements)

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“…The majority rule model [24,25] has been applied in the analysis of complex systems in fields such as biology (neural networks) [26], physics (spin glass model) [27], and social sciences (voting problems) [28][29][30][31]. The novelty in our case consists in studying more than one level decision rule (two in our article) in a social domain.…”

Section: Introductionmentioning

confidence: 99%

School Choice in a Market Environment: Individual versus Social Expectations

et al. 2018

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School choice is a key factor connecting personal preferences (beliefs, desires, and needs) and school offer in education markets. While it is assumed that preferences are highly individualistic forms of expectations by means of which parents select schools satisfying their internal moral standards, this paper argues that a better matching between parental preferences and school offer is achieved when individuals take into account their relevant network vicinity, thereby constructing social expectations regarding school choice. We develop two related models (individual expectations and social expectations) and prove that they are driven by a Lyapunov function, obtaining that both models converge to fixed points. Also, we assess their performance by conducting computational simulations. While the individual expectations model shows a probabilistic transition and a critical threshold below which preferences concentrate in a few schools and a significant amount of students is left unattended by the school offer, the social expectations model presents a smooth dynamics in which most of the schools have students all the time and no students are left out. We discuss our results considering key topics of the empirical research on school choice in educational market environments and conclude that social expectations contribute to improve information and lead to a better matching between school offer and parental preferences.

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Section: Introductionmentioning

confidence: 99%

School Choice in a Market Environment: Individual versus Social Expectations

et al. 2018

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“…While Schelling’s contribution was successful, Sakoda’s contribution was rather forgotten 14 . However, first, the underlying richness of the Sakoda model offers more analytical options than just the dynamics of segregation, thereby opening possibilities to identify new social structures arising from interaction, as recently done by Medina et al 15 . Second, Sakoda’s aim of connecting psychology’s interest in micro phenomena and sociology’s focus on macro levels corresponds with a key distinction in sociological analysis, that between agency and structure, and subsequently, with the discussion whether agency or structure should be the point of departure for theory building 16 .…”

Section: Introductionmentioning

confidence: 99%

Migration-induced transition in social structures: a view through the Sakoda model of social interactions

Goles

Mascareño

Medina

et al. 2020

Sci Rep

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We study the dynamics of three populations evolving in a two-dimensional discrete grid according to rules of attraction, rejection, or indifference following the framework of the seminal model by Sakoda and we apply it to migration phenomena. An interesting feature of the Sakoda model is the existence of a Potts-like energy which, as a common principle, decreases as time passes by. Here we consider the evolution of two populations until stabilization, then, we perturb this attractor by the inclusion of a third arrival: the immigrants. We show the conditions under which this irruption does not alter significantly the previous attractor (a sociological morphostatic behaviour) or it is dramatically changed (morphogenetic behaviour). We observe empirically that for a morphostatic behaviour the energy decreases while for morphogenesis this energy increases, revealing an escalation of social tension.

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“…The method of complex network is paid more and more attention in the research of financial risk contagion in recent years. The financial risk contagion system is a self-organized social system [18]. Complex networks can visually describe the complex relationship between credit risk individuals and can effectively analyze endogenous and exogenous factors that affect risk transmission [19,20].…”

Section: Introductionmentioning

confidence: 99%

Credit Risk Contagion Based on Asymmetric Information Association

2018

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The study of the contagion law of credit risk is very important for financial market supervision. The existing credit risk contagion models based on complex network theory assume that the information between individuals in the network is symmetrical and analyze the proportion of the individuals infected by the credit risk from a macro perspective. However, how individuals are infected from a microscopic perspective is not clear, besides the level of the infection of the individuals is characterized by only two states: completely infected or not infected, which is not realistic. In this paper, a credit risk contagion model based on asymmetric information association is proposed. The model can effectively describe the correlation among individuals with credit risk. The model can analyze how the risk individuals are infected in the network and can effectively reflect the risk contagion degree of the individual. This paper further analyzes the influence of network structure, information association, individual risk attitude, financial market supervision intensity, and individual risk resisting ability on individual risk contagion. The correctness of the model is verified by theoretical deduction and numerical simulation.

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Self-Organized Societies: On the Sakoda Model of Social Interactions

Cited by 13 publications

References 26 publications

School Choice in a Market Environment: Individual versus Social Expectations

School Choice in a Market Environment: Individual versus Social Expectations

Migration-induced transition in social structures: a view through the Sakoda model of social interactions

Credit Risk Contagion Based on Asymmetric Information Association

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