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.

中文翻译：

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改进的 Asano-Ohya-Khrennikov 类量子模型，用于具有大脑杏仁核和前额叶皮质的非线性自我和交叉交互项的两人游戏中的决策过程

在本报告中，我们通过向相关的比较步骤动力学方程添加额外的非线性项，对两人游戏的 Asano-Ohya-Khrennikov 类量子决策过程模型进行了修改。增加的形式是大脑杏仁核和前额叶皮层的自我交互和交叉交互。我们表明，交叉交互在很大程度上决定了玩家的最终决定，无论它是成为理性选择还是非理性选择。相比之下，非线性自交互项提供了一种反馈机制，可以加快相应的决策过程。我们还通过与原始模型公式进行类比，提出了这些非线性项的总反应速率系数的期望值的形式。