By Dirk Helbing
This new version of Quantitative Sociodynamics provides a normal technique for interdisciplinary version construction and its software to a quantitative description of behavioral alterations in response to social interplay tactics. initially, the the most important equipment for the modeling of advanced platforms (stochastic equipment and nonlinear dynamics) have been constructed in physics and arithmetic, yet they've got quite often confirmed their explanatory strength in chemistry, biology, economics and the social sciences to boot. Quantitative Sociodynamics presents a unified and accomplished evaluation of different stochastic equipment, their interrelations and homes. furthermore, it introduces vital innovations from nonlinear dynamics (e.g. synergetics, chaos theory). The applicability of those interesting ideas to social phenomena is punctiliously mentioned. via incorporating decision-theoretical methods, a primary dynamic version is acquired, which opens new views within the social sciences. It contains many validated versions as distinctive situations, e.g. the logistic equation, the gravity version, a few diffusion versions, evolutionary online game idea and social box idea. in addition, it implies quite a few new effects and is appropriate for varied program parts, resembling opinion formation, migration, the self-organization of behavioral conventions, and the habit of consumers and citizens. Theoretical effects are complemented and illustrated through various laptop simulations.
Quantitative Sociodynamics is appropriate either for social scientists and traditional scientists who're drawn to the appliance of stochastic and synergetics suggestions to interdisciplinary subject matters.
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Additional info for Quantitative Sociodynamics: Stochastic Methods and Models of Social Interaction Processes
G. the boundary conditions) but bases on the autonomous dynamics of the system. (Cf. [106, 107]). In Sect. 4, for example, it can be found that the opinion distribution in a subpopulation will develop completely differently in time if the control parameter ‘indifference with respect to the held position’ exceeds a certain critical value. Whereas below this value one sticks to the personally preferred position, above the critical value it will be abandoned in favour of new positions. A typical phase transition in physics is the transition from gaseous to liquid state when the control parameter ‘temperature’ is reduced below the condensation point.
Since the attractive interactions are more or less ‘saturated’ by the bonds, the interactions within these units are stronger than the interactions between them (boundary formation). The relatively weak residual interactions between the formed units induce their relatively slow state changes. 2 How to Describe Social Processes in a Mathematical Way 15 Consequently, a general interdependence between the interaction strength, the rate of state changes, and the formation of hierarchical levels can be found.
Decisions are discontinuous changes of the behavior after a period of critical fluctuations (repeatedly changing one’s mind) and of critical slowing down (hesitation to take the decision). This suggests that decisions are phase transitions [18, 19]. In the following, we will develop a more detailed picture of the decision-making process based on experimental observations [27, 28] (for more details see Chap. 7, 24 2 Dynamic Decision Behavior [18, 19]). According to Feger [27, 28] decisions are conflict situations occurring when we can choose between several mutually exclusive behavioral alternatives i.
Quantitative Sociodynamics: Stochastic Methods and Models of Social Interaction Processes by Dirk Helbing