Quantum stochastic walks on networks for decision-making

Martinez-Martinez, I. ; Sanchez-Burillo, E.

Resumen: Recent experiments report violations of the classical law of total probability and incompatibility of certain mental representations when humans process and react to information. Evidence shows promise of a more general quantum theory providing a better explanation of the dynamics and structure of real decision-making processes than classical probability theory. Inspired by this, we show how the behavioral choice-probabilities can arise as the unique stationary distribution of quantum stochastic walkers on the classical network defined from Luce''s response probabilities. This work is relevant because (i) we provide a very general framework integrating the positive characteristics of both quantum and classical approaches previously in confrontation, and (ii) we define a cognitive network which can be used to bring other connectivist approaches to decision-making into the quantum stochastic realm. We model the decision-maker as an open system in contact with her surrounding environment, and the time-length of the decision-making process reveals to be also a measure of the process'' degree of interplay between the unitary and irreversible dynamics. Implementing quantum coherence on classical networks may be a door to better integrate human-like reasoning biases in stochastic models for decision-making.

Idioma: Inglés

DOI: 10.1038/srep23812

Año: 2016

Publicado en: SCIENTIFIC REPORTS 6 (2016), -
ISSN: 2045-2322

Factor impacto JCR: 4.259 (2016)

Categ. JCR: MULTIDISCIPLINARY SCIENCES rank: 10 / 63 = 0.159 (2016) - Q1 - T1

Factor impacto SCIMAGO: 1.691 - Multidisciplinary (Q1)

Tipo y forma: Artículo (Versión definitiva)