Recursive introversion, iterative extroversion and transitive ambiversion

TL;DR

This paper introduces a mathematical model of personality dynamics based on complex systems theory, capturing introversion, extroversion, and ambiversion as interconnected processes with practical applications in psychology and AI.

Contribution

It develops a novel complex systems-based framework modeling personality traits as recursive, iterative, and transitive processes, enabling quantitative analysis and AI implementation.

Findings

Analytical equations describing personality interactions

Parameters for regulating personality dynamics

Potential applications in AI and robotics

Abstract

This study proposes an approach to describing personality dynamics through mathematical modelling of introversion, extroversion, and ambiversion processes. Introversion is interpreted as a recursive process characterized by deep self-awareness and inner reflection; extroversion is presented as an iterative process of accumulating and processing external stimuli; and ambiversion is considered transitivity, integrating the interaction of these two opposing processes. The developed model is based on principles of complex systems theory, nonlinear dynamics, and synergetics, enabling the perception of personality as an adaptive and multilayered system. The results include analytical equations describing the interaction of internal and external factors. Parameters regulating personality dynamics, such as sensitivity coefficients, weighting factors of stimuli, and synergy parameters, are also explored. The practical significance of the proposed model lies in its application in psychotherapy, education, personnel management, and other areas where it is necessary to consider personality traits and their dynamics. The model provides new opportunities for diagnosing, forecasting, and correcting personality changes, enhancing methods of working with individuals. The findings open some prospects for quantitative personality analysis, providing a theoretical understanding of its structure and dynamics. They also create a foundation for further interdisciplinary research in psychology, the cognitive sciences, and social systems. Specifically, the formalization considered in the context of program algorithms allows for the creation of functional procedures for AI and robots with differentiated psychological archetypes (introvert robots, extrovert robots, and ambivert robots).