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      Boltzmann-like and Boltzmann-Fokker-Planck Equations as a Foundation of Behavioral Models

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          Abstract

          It is shown, that the Boltzmann-like equations allow the formulation of a very general model for behavioral changes. This model takes into account spontaneous (or externally induced) behavioral changes and behavioral changes by pair interactions. As most important social pair interactions imitative and avoidance processes are distinguished. The resulting model turns out to include as special cases many theoretical concepts of the social sciences. A Kramers-Moyal expansion of the Boltzmann-like equations leads to the Boltzmann-Fokker-Planck equations, which allows the introduction of ``social forces'' and ``social fields''. A social field reflects the influence of the public opinion, social norms and trends on behaviorial changes. It is not only given by external factors (the environment) but also by the interactions of the individuals. Variations of the individual behavior are taken into account by diffusion coefficients.

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          The P 1 P 2 D Hypothesis: On the Intercity Movement of Persons

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            The principle of congruity in the prediction of attitude change.

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              Physics and social science — The approach of synergetics

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                Author and article information

                Journal
                28 May 1998
                Article
                10.1016/0378-4371(93)90034-2
                cond-mat/9805384
                448bc6b6-8008-44a0-8270-4e1507f6ee93
                History
                Custom metadata
                Physica A 196, 546-573 (1993)
                For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html
                cond-mat.stat-mech

                Condensed matter
                Condensed matter

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