Study of Nash equilibrium by increasing game parameters in 3-player quantum game

 Using the quantum game formalism in 3-player system, we calculate the Nash equilibrium in quantum Prisoners’ Dilemma by increasing parameters of unitary operator. Since, the entanglement plays an important role in quantum states of particles quantum game, actually its effect on the obtained results...

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Main Authors: H Goudarzi, S Beyrami
Format: Article
Language:English
Published: Isfahan University of Technology 2013-03-01
Series:Iranian Journal of Physics Research
Subjects:
Online Access:http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1-609&slc_lang=en&sid=1
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spelling doaj-181ffedca01e423abf10e78882cbad372020-11-24T23:11:25ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572013-03-01124387393Study of Nash equilibrium by increasing game parameters in 3-player quantum gameH GoudarziS Beyrami Using the quantum game formalism in 3-player system, we calculate the Nash equilibrium in quantum Prisoners’ Dilemma by increasing parameters of unitary operator. Since, the entanglement plays an important role in quantum states of particles quantum game, actually its effect on the obtained results of Nash equilibrium is investigated. It is shown that increasing the parameters enhances the game payoff function. http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1-609&slc_lang=en&sid=1quantum gameentanglementNash equilibriumPareto optimal
collection DOAJ
language English
format Article
sources DOAJ
author H Goudarzi
S Beyrami
spellingShingle H Goudarzi
S Beyrami
Study of Nash equilibrium by increasing game parameters in 3-player quantum game
Iranian Journal of Physics Research
quantum game
entanglement
Nash equilibrium
Pareto optimal
author_facet H Goudarzi
S Beyrami
author_sort H Goudarzi
title Study of Nash equilibrium by increasing game parameters in 3-player quantum game
title_short Study of Nash equilibrium by increasing game parameters in 3-player quantum game
title_full Study of Nash equilibrium by increasing game parameters in 3-player quantum game
title_fullStr Study of Nash equilibrium by increasing game parameters in 3-player quantum game
title_full_unstemmed Study of Nash equilibrium by increasing game parameters in 3-player quantum game
title_sort study of nash equilibrium by increasing game parameters in 3-player quantum game
publisher Isfahan University of Technology
series Iranian Journal of Physics Research
issn 1682-6957
publishDate 2013-03-01
description  Using the quantum game formalism in 3-player system, we calculate the Nash equilibrium in quantum Prisoners’ Dilemma by increasing parameters of unitary operator. Since, the entanglement plays an important role in quantum states of particles quantum game, actually its effect on the obtained results of Nash equilibrium is investigated. It is shown that increasing the parameters enhances the game payoff function.
topic quantum game
entanglement
Nash equilibrium
Pareto optimal
url http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1-609&slc_lang=en&sid=1
work_keys_str_mv AT hgoudarzi studyofnashequilibriumbyincreasinggameparametersin3playerquantumgame
AT sbeyrami studyofnashequilibriumbyincreasinggameparametersin3playerquantumgame
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