The quantum-like approach to modeling classical rationality violations: an introduction

Abstract

Psychological empirical research has shown that human choice behavior often violates the assumptions of classical rational choice models. In the last few decades a new research field has emerged which aims to account for the observed choice behavior by resorting to the concepts and mathematical techniques developed in the realm of quantum physics, such as the "mental state vector" defined in a Hilbert space and the interference of quantum probability. This article is a short introduction to the quantum-like approach to the description of cognitive processes. I argue that the mathematical apparatus of quantum physics can account for the observed violations of classical logic and can help develop effective models of psychological and cognitive phenomena. This is illustrated through the so-called conjunction and disjunction fallacies by providing an alternative interpretation of the results of Linda test and Hawaii test. No-fallacy configurations are made possible in the quantumlike approach by sequential modeling of mental states transitions.

Stability of the unsafe production behavior random evolution system in the mean sense

“…Busemeyer and Trueblood suggest six reasons for applying quantum theory to human cognition [16]. Vaio thinks that mathematical methods in quantum theory are in favor of the establishment of mental and cognitive models [17]. The above research indicates that it is feasible to use mathematical methods in quantum theory to describe the individual cognitive state.…”

Behavior Choice of Game Parties under the Interference of Cognition in the Game between Coal Miners and Supervisors

“…As a mental factor, cognition is in close relation to decision-making [13]. To better describe the impact of cognition on decision-making, some authors have introduced quantum theory to the decision-making field and made many achievements [14][15][16][17][18][19][20][21][22][23][24]. Research on cognitive psychology indicates that quantum probability can describe the decision-making of human beings in an elegant framework [14].…”

“…Busemeyer and Trueblood put forward six reasons for applying quantum theory to human cognition [22]. Vaio thinks that the mathematical methods in quantum theory can explain the behavior of violating logic and help in the establishment of mental and cognitive models [23].…”