Bistable probabilities: a unified framework for studying rationality and irrationality in classical and quantum games.

Proceedings. Mathematical, Physical, and Engineering Sciences
Shahram DehdashtiPeter Bruza

Abstract

This article presents a unified probabilistic framework that allows both rational and irrational decision-making to be theoretically investigated and simulated in classical and quantum games. Rational choice theory is a basic component of game-theoretic models, which assumes that a decision-maker chooses the best action according to their preferences. In this article, we define irrationality as a deviation from a rational choice. Bistable probabilities are proposed as a principled and straightforward means for modelling (ir)rational decision-making in games. Bistable variants of classical and quantum Prisoner's Dilemma, Stag Hunt and Chicken are analysed in order to assess the effect of (ir)rationality on agent utility and Nash equilibria. It was found that up to three Nash equilibria exist for all three classical bistable games and maximal utility was attained when agents were rational. Up to three Nash equilibria exist for all three quantum bistable games; however, utility was shown to increase according to higher levels of agent irrationality.

References

Apr 15, 1986·Physical Review. D·P Busch
Oct 11, 2003·Trends in Cognitive Sciences·Jonathan St B T Evans
May 23, 2012·Proceedings of the National Academy of Sciences of the United States of America·William H Press, Freeman J Dyson
Sep 22, 2012·Nature·David G RandMartin A Nowak
Jul 4, 2013·Nature Communications·Nicolas Brunner, Noah Linden
Apr 23, 2014·Nature Communications·David G RandJoshua D Greene
Jul 6, 2014·Frontiers in Psychology·Donald D Hoffman, Chetan Prakash
Aug 5, 2014·Psychological Review·Fintan Costello, Paul Watts
Feb 26, 2016·Royal Society Open Science·Azhar IqbalDerek Abbott
Feb 26, 2016·Journal of Experimental Psychology. General·David G RandHélène Barcelo
Aug 30, 2016·Cognitive Psychology·Fintan Costello, Paul Watts
Nov 3, 2017·Cognition·Fintan CostelloChristopher Fisher
Jan 25, 2019·Psychological Review·Fintan Costello, Paul Watts
Dec 9, 2020·Entropy·Shahram DehdashtiPeter Bruza

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