Zeno's paradox in decision-making

Classical probability theory has been influential in modelling decision processes, despite empirical findings that have been persistently paradoxical from classical perspectives. For such findings, some researchers have been successfully pursuing decision models based on quantum theory (QT). One unique feature of QT is the collapse postulate, which entails that measurements (or in decision-making, judgements) reset the state to be consistent with the measured outcome. If there is quantum structure in cognition, then there has to be evidence for the collapse postulate. A striking, a priori prediction, is that opinion change will be slowed down (under idealized conditions frozen) by continuous judgements. In physics, this is the quantum Zeno effect. We demonstrate a quantum Zeno effect in decision-making in humans and so provide evidence that advocates the use of quantum principles in decision theory, at least in some cases.

[1]  Nick Huggett Zeno's Paradoxes , 2010 .

[2]  Jerome R Busemeyer,et al.  Can quantum probability provide a new direction for cognitive modeling? , 2013, The Behavioral and brain sciences.

[3]  S. Hameroff Quantum computation in brain microtubules? The Penrose-Hameroff 'Orch OR' model of consciousness , 1998 .

[4]  Charles Kemp,et al.  How to Grow a Mind: Statistics, Structure, and Abstraction , 2011, Science.

[5]  Diederik Aerts,et al.  Applications of Quantum Statistics in Psychological Studies of Decision Processes , 1995 .

[6]  Jerome R. Busemeyer,et al.  A Comparison of the Belief-Adjustment Model and the Quantum Inference Model as Explanations of Order Effects in Human Inference , 2010 .

[7]  Jennifer Trueblood,et al.  A Quantum Probability Account of Order Effects in Inference , 2011, Cogn. Sci..

[8]  J. Townsend,et al.  The Oxford Handbook of Computational and Mathematical Psychology , 2015 .

[9]  A. Tversky,et al.  Extensional versus intuitive reasoning: the conjunction fallacy in probability judgment , 1983 .

[10]  P. Tetlock Accountability and the perseverance of first impressions. , 1983 .

[11]  Emmanuel M. Pothos,et al.  Sometimes it does hurt to ask: The constructive role of articulating impressions , 2014, Cognition.

[12]  E. Sudarshan,et al.  Zeno's paradox in quantum theory , 1976 .

[13]  John K. Kruschke,et al.  Bayesian estimation in hierarchical models , 2015 .

[14]  Jerome R. Busemeyer,et al.  Quantum Models of Cognition and Decision , 2012 .

[15]  Julia E. Schroeder,et al.  Are birds smarter than mathematicians? Pigeons (Columba livia) perform optimally on a version of the Monty Hall Dilemma. , 2010, Journal of comparative psychology.

[16]  Christopher Isham,et al.  Lectures On Quantum Theory: Mathematical And Structural Foundations , 1995 .

[17]  Sarah R. Heilbronner,et al.  Cognitive influences on risk-seeking by rhesus macaques. , 2008, Judgment and decision making.

[18]  Jennifer Wiley,et al.  What Are the Odds? A Practical Guide to Computing and Reporting Bayes Factors , 2014, J. Probl. Solving.

[19]  Time-of-arrival probabilities and quantum measurements , 2005, quant-ph/0509020.

[20]  N. Chater,et al.  Précis of Bayesian Rationality: The Probabilistic Approach to Human Reasoning , 2009, Behavioral and Brain Sciences.

[21]  N. Schwarz ATTITUDE CONSTRUCTION: EVALUATION IN CONTEXT , 2007 .

[22]  J. Busemeyer,et al.  A quantum probability explanation for violations of ‘rational’ decision theory , 2009, Proceedings of the Royal Society B: Biological Sciences.

[23]  Harald Atmanspacher,et al.  Quantum Zeno features of bistable perception , 2003, Biological Cybernetics.

[24]  Emmanuel M Pothos,et al.  Challenging the classical notion of time in cognition: a quantum perspective , 2014, Proceedings of the Royal Society B: Biological Sciences.

[25]  Richard M. Shiffrin,et al.  Context effects produced by question orders reveal quantum nature of human judgments , 2014, Proceedings of the National Academy of Sciences.

[26]  A. Khrennikov,et al.  Quantum Social Science , 2013 .

[27]  John R. Anderson,et al.  The Adaptive Character of Thought , 1990 .