On subgame perfect equilibria in quantum Stackelberg duopoly

Piotr Frąckiewicz , Jarosław Pykacz

Abstract

Our purpose is to study the Stackelberg duopoly with the use of the Li-Du-Massar quantum duopoly scheme. The result of Lo and Kiang has shown that the correlation of players's quantities caused by the quantum entanglement enlarges the first-mover advantage in the quantum Stackelberg duopoly. However, the interval of entanglement parameters for which this result is valid is bounded from above. It has been an open question what the equilibrium result is over the upper bound, in particular when the entanglement parameter goes to infinity. Our work provides complete analysis of subgame perfect equilibria of the game for all the values of the entanglement parameter.
Author Piotr Frąckiewicz
Piotr Frąckiewicz,,
-
, Jarosław Pykacz (FMPI / IM)
Jarosław Pykacz,,
- Institute of Mathematics
Journal seriesPhysics Letters A, ISSN 0375-9601, (A 30 pkt)
Issue year2018
Vol382
No8
Pages561-565
Publication size in sheets0.5
Keywords in Englishquantum game, Stackelberg duopoly, subgame perfect equilibrium
DOIDOI:10.1016/j.physleta.2017.12.009
URL https://doi.org/10.1016/j.physleta.2017.12.009
Languageen angielski
Score (nominal)30
ScoreMinisterial score = 30.0, 31-10-2018, ArticleFromJournal
Ministerial score (2013-2016) = 30.0, 31-10-2018, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 1.772 (2) - 2016=1.659 (5)
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