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Approaching Bounded Rationality: From Quantum Probability to Criticality.

Lucio Tonello1,2, Paolo Grigolini1

  • 1Center for Nonlinear Science, University of North Texas, P.O. Box 311427, Denton, TX 76203-1427, USA.

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Summary
This summary is machine-generated.

Bounded rationality experiments reveal human behavior violating classical probability. A new criticality-induced bounded rationality (CIBR) model, inspired by quantum probability, offers a novel framework for understanding cognition and decision-making.

Keywords:
DMMconjunction fallacycriticalityfailures of commutativityquantum probability

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Area of Science:

  • Cognitive Science
  • Quantum Physics
  • Decision Theory

Background:

  • Bounded rationality challenges classical probability (CP) in explaining human behavior.
  • Quantum probability (QP) offers a framework for understanding these deviations.
  • The brain's function and cognition are hypothesized to be fundamentally linked to quantum mechanics.

Purpose of the Study:

  • To introduce and explore criticality-induced bounded rationality (CIBR) as a novel approach.
  • To compare CIBR with quantum probability (QP) in explaining decision-making.
  • To propose criticality as a fundamental pillar for understanding cognition and quantum mechanics.

Main Methods:

  • Discussing the decision-making model (DMM) as a paradigm of criticality.
  • Analyzing how the DMM generates choices not explainable by CP.
  • Defining and elaborating on the concept of CIBR.

Main Results:

  • The decision-making model (DMM) exhibits behaviors consistent with bounded rationality.
  • CIBR provides an alternative to QP in explaining decision-making anomalies.
  • In some aspects, CIBR proves more effective than QP.

Conclusions:

  • Criticality, through CIBR, offers a promising framework for bounded rationality.
  • CIBR may provide deeper insights into cognition and the foundations of quantum mechanics.
  • Criticality is proposed as a potential fundamental pillar alongside quantum mechanics for understanding the brain.