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Cited by 82 publications
(23 citation statements)
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“…This development goes under the name of sociodynamics (Helbing, 1991;Weidlich, 1991;Weidlich, 2002). The term sociodynamics has been introduced to refer to a systematic approach to mathematical modeling in the framework of social sciences.…”
Section: Dynamical Systems Approachmentioning
confidence: 99%
“…This development goes under the name of sociodynamics (Helbing, 1991;Weidlich, 1991;Weidlich, 2002). The term sociodynamics has been introduced to refer to a systematic approach to mathematical modeling in the framework of social sciences.…”
Section: Dynamical Systems Approachmentioning
confidence: 99%
“…The loop area is related to both the 'persistence' of the group's motion (dynamic remanence-the amount of drift after the field is removed) and its 'stubbornness' (dynamic coercivity-the field magnitude required to revert the motion of the group). For example, these observations can be interpreted in terms of opinion dynamics [13,16,[46][47][48], where the consensus can be associated with the aligned state with a non-zero order parameter, while the alternating field would model the frequent contradictory stimuli. Our results suggest that the prominent social (aligning) interactions can enhance the persistence of the group's opinion at relatively low signal frequencies, while frequent contradictory signals prevent the development of a collective response.…”
Section: Discussionmentioning
confidence: 99%
“…The third is based on the fixed point solution to a Fokker-Planck equation (FPE) phrased in terms of stochastic partial differential equations applied to entire populations of incentivised agents [26]. The interest in this model comes from the fact that it is based on a very large number of individuals interacting with each other stochastically over time, very much like an idealised economy, see for example the body of work by Traulsen et al in finite populations [26][27][28] and Helbing [29][30][31]. The FPE is an important stochastic partial differential equation that has been used extensively in the social and natural sciences [32].…”
Section: −1 Xmentioning
confidence: 99%