Modified Asano-Ohya-Khrennikov quantum-like model for decision-making process in a two-player game with nonlinear self- and cross-interaction terms of brain’s amygdala and prefrontal-cortex

Abstract

In this report, we propose a modification on the Asano-Ohya-Khrennikov quantum-like decision-making process model of a two-player game by adding additional nonlinear terms to the related comparison step dynamical equation. The additions are in the form of a self-interaction and cross-interaction of the brain’s amygdala and prefrontal cortex. We show that the cross-interaction significantly determines the final decision of a player, whether it becomes a rational or an irrational choice. In contrast, the nonlinear self-interaction term provides a feedback mechanism that speeds up the corresponding decision-making process. We also suggest the form of expectation values of the overall reaction rate coefficients of those nonlinear terms by making an analogy with the original model formulation.

De Rerum (Incerta) Natura: A Tentative Approach to the Concept of “Quantum-like”

“…An increasing number of articles have been published in the past two decades on "quantum-like" interpretation of cognition, decision-making, and game theory, especially in uncertain or conflicting situations [35][36][37][38][39][40]. According to Bruza [36], the classical probability calculations are based on Boolean logic, and include a rationale and a heuristic approach.…”