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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Isfahan University of Technology
2013-03-01
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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 |
_version_ |
1725604538871709696 |