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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

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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.

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Funding

This research is partially funded by PDUPT grant from the Ministry of Education and Culture, Republic of Indonesia under contract no: 4039/IT3.L1/PN/2020. We thank A. D. Garnadi for providing us some references.

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Authors and Affiliations

  1. Theoretical Physics Division, Department of Physics, IPB University (Bogor Agricultural University), Jl. Meranti, Kampus IPB Darmaga, Bogor, 16680, Indonesia

    Luluk Muthoharoh, Hendradi Hardhienata & Husin Alatas

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  1. Luluk Muthoharoh
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  2. Hendradi Hardhienata
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  3. Husin Alatas
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Correspondence to Husin Alatas.

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Muthoharoh, L., Hardhienata, H. & Alatas, H. 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. J Biol Phys 46, 297–307 (2020). https://doi.org/10.1007/s10867-020-09553-6

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