### Abstract

Original language | English |
---|---|

Pages (from-to) | 159-168 |

Number of pages | 10 |

Journal | Journal of Mathematical Psychology |

Volume | 82 |

Publication status | Published - 2018 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Psychology(all)
- Applied Mathematics

### Cite this

*Journal of Mathematical Psychology*,

*82*, 159-168.

**Quantum field inspired model of decision making: Asymptotic stabilization of belief state via interaction with surrounding mental environment.** / Bagarello, Fabio; Bagarello, Fabio; Basieva, Irina; Khrennikov, Andrei.

Research output: Contribution to journal › Article

*Journal of Mathematical Psychology*, vol. 82, pp. 159-168.

}

TY - JOUR

T1 - Quantum field inspired model of decision making: Asymptotic stabilization of belief state via interaction with surrounding mental environment

AU - Bagarello, Fabio

AU - Bagarello, Fabio

AU - Basieva, Irina

AU - Khrennikov, Andrei

PY - 2018

Y1 - 2018

N2 - This paper is devoted to a justification of quantum-like models of the process of decision making based on the theory of open quantum systems, i.e. decision making is considered as decoherence. This process is modeled as interaction of a decision maker, Alice, with a mental (information) environment R surrounding her. Such an interaction generates “dissipation of uncertainty” from Alice's belief-state ρ(t) into R and asymptotic stabilization of ρ(t) to a steady belief-state. The latter is treated as the decision state. Mathematically the problem under study is about finding constraints on R guaranteeing such stabilization. We found a partial solution of this problem (in the form of sufficient conditions). We present the corresponding decision making analysis for one class of mental environments, the so-called “almost homogeneous environments” with the illustrative examples: (a) behavior of electorate interacting with the mass-media “reservoir”; (b) consumers’ persuasion. We also comment on other classes of mental environments.

AB - This paper is devoted to a justification of quantum-like models of the process of decision making based on the theory of open quantum systems, i.e. decision making is considered as decoherence. This process is modeled as interaction of a decision maker, Alice, with a mental (information) environment R surrounding her. Such an interaction generates “dissipation of uncertainty” from Alice's belief-state ρ(t) into R and asymptotic stabilization of ρ(t) to a steady belief-state. The latter is treated as the decision state. Mathematically the problem under study is about finding constraints on R guaranteeing such stabilization. We found a partial solution of this problem (in the form of sufficient conditions). We present the corresponding decision making analysis for one class of mental environments, the so-called “almost homogeneous environments” with the illustrative examples: (a) behavior of electorate interacting with the mass-media “reservoir”; (b) consumers’ persuasion. We also comment on other classes of mental environments.

UR - http://hdl.handle.net/10447/356827

UR - http://www.elsevier.com/inca/publications/store/6/2/2/8/8/7/index.htt

M3 - Article

VL - 82

SP - 159

EP - 168

JO - Journal of Mathematical Psychology

JF - Journal of Mathematical Psychology

SN - 0022-2496

ER -