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Boltzmann-like and Boltzmann-Fokker-Planck equations as a foundation of behavioral models

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  • Helbing, Dirk

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.

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  • Helbing, Dirk, 1993. "Boltzmann-like and Boltzmann-Fokker-Planck equations as a foundation of behavioral models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 196(4), pages 546-573.
    • Handle: RePEc:eee:phsmap:v:196:y:1993:i:4:p:546-573
    DOI: 10.1016/0378-4371(93)90034-2
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    References listed on IDEAS

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    1. Weidlich, Wolfgang & Munz, Martin, 1990. "Settlement Formation: Part 1: A Dynamic Theory," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 24(2), pages 83-106.
    2. Helbing, Dirk, 1992. "Interrelations between stochastic equations for systems with pair interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 181(1), pages 29-52.
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    Cited by:

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