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

Dehdashti, S; Fell, L; Karim Obeid, A; Moreira, C; Bruza, P

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

Dehdashti, S Fell, L Karim Obeid, A Moreira, C Bruza, P

Permalink

Publisher:: ROYAL SOC
Publication Type:: Journal Article
Citation:: Proc Math Phys Eng Sci, 2020, 476, (2237), pp. 20190839
Issue Date:: 2020-05

Closed Access

	Filename	Description	Size
	Bistable probabilities a unified framework for studying rationality and irrationality in classical and quantum games.pdf	Published version	873.39 kB	Adobe PDF	View/Open

Copyright Clearance Process

Recently Added
In Progress
Closed Access

This item is closed access and not available.

Full metadata record

Field	Value	Language
dc.contributor.author	Dehdashti, S
dc.contributor.author	Fell, L
dc.contributor.author	Karim Obeid, A
dc.contributor.author	Moreira, C
dc.contributor.author	Bruza, P
dc.date.accessioned	2024-12-18T01:22:28Z
dc.date.available	2020-03-31
dc.date.available	2024-12-18T01:22:28Z
dc.date.issued	2020-05
dc.identifier.citation	Proc Math Phys Eng Sci, 2020, 476, (2237), pp. 20190839
dc.identifier.issn	1364-5021
dc.identifier.issn	1471-2946
dc.identifier.uri	http://hdl.handle.net/10453/182682
dc.description.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.
dc.format	Print-Electronic
dc.language	eng
dc.publisher	ROYAL SOC
dc.relation.ispartof	Proc Math Phys Eng Sci
dc.relation.isbasedon	10.1098/rspa.2019.0839
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	01 Mathematical Sciences, 02 Physical Sciences, 09 Engineering
dc.subject.classification	40 Engineering
dc.subject.classification	49 Mathematical sciences
dc.subject.classification	51 Physical sciences
dc.title	Bistable probabilities: a unified framework for studying rationality and irrationality in classical and quantum games.
dc.type	Journal Article
utslib.citation.volume	476
utslib.location.activity	England
utslib.for	01 Mathematical Sciences
utslib.for	02 Physical Sciences
utslib.for	09 Engineering
pubs.organisational-group	University of Technology Sydney
pubs.organisational-group	University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	University of Technology Sydney/UTS Groups
pubs.organisational-group	University of Technology Sydney/UTS Groups/The Trustworthy Digital Society
utslib.copyright.status	closed_access	*
dc.date.updated	2024-12-18T01:22:26Z
pubs.issue	2237
pubs.publication-status	Published
pubs.volume	476
utslib.citation.issue	2237

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.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/182682