For citation:
Anisimova S. А. Nonlinear models of reflexive control theory. Izvestiya VUZ. Applied Nonlinear Dynamics, 2004, vol. 12, iss. 1, pp. 96-113. DOI: 10.18500/0869-6632-2004-12-1-96-113
Nonlinear models of reflexive control theory
The work is devoted to mathematical modeling of reflective processes - intensively developing branch of mathematical psychology. A systematical statement of subject models is given in the work where the subject faces а moral choice, i.e. а choice of one of two polar alternatives: first personifies good, and the second - evil. A new, linear-square-law model of subject is offered, which allows combining nonlinear account of the subject’s self-reflection and his opinion on actions of his partner, described in the linear way. A linear description of the partner appears to be natural because оп the one hand it appreciably simplifies the model, оп the other hand а person can estimate his own actions more subtly and in a more complicated manner than his partner’s. The episode from Dostoyevskiy’s novel «Karamazoff brothers» is analyzed within the framework of the advanced model. Important influence of the subject optimism index on the accomplished choice is demonstrated and one of the most important Christian principles «Don’t worry» is illustrated.
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