Quantum stochastic walks on networks for decision-making

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 r...

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Veröffentlicht in:Scientific reports Jg. 6; H. 1; S. 23812
Hauptverfasser: Martínez-Martínez, Ismael, Sánchez-Burillo, Eduardo
Format: Journal Article
Sprache:Englisch
Veröffentlicht: London Nature Publishing Group UK 31.03.2016
Nature Publishing Group
Schlagworte:
631/477/2811
639/766/483/640
Choice Behavior
Cognition
Cognitive ability
Decision Making
Humanities and Social Sciences
Humans
Information processing
Models, Statistical
multidisciplinary
Prisoner Dilemma
Quantum Theory
Science
Stochastic models
Stochastic Processes
Time Factors
ISSN:2045-2322, 2045-2322
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Zusammenfassung: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.
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ISSN:2045-2322
2045-2322
DOI:10.1038/srep23812