GENERAL |
|
|
|
|
Quantum Stackelberg Duopoly in a Noninertial Frame |
Salman Khan**, M. Khalid Khan
|
Department of Physics, Quaid-i-Azam University, Islamabad 45320, Pakistan
|
|
Cite this article: |
Salman Khan, M. Khalid Khan 2011 Chin. Phys. Lett. 28 070202 |
|
|
Abstract We study the influence of the Unruh effect on quantum Stackelberg duopoly. It is shown that the acceleration of a noninertial frame strongly affects the payoffs of the firms. The validation of the subgame perfect Nash equilibrium is limited to a particular range of acceleration of the noninertial frame. The benefit of the initial state entanglement in the quantum form of the duopoly in the inertial frame is adversely affected by the acceleration. The duopoly can become a follower advantage only in a small region of the acceleration.
|
Keywords:
02.50.Le
03.67.Bg
03.67.Ac
03.65.Aa
|
|
Received: 19 February 2011
Published: 29 June 2011
|
|
PACS: |
02.50.Le
|
(Decision theory and game theory)
|
|
03.67.Bg
|
(Entanglement production and manipulation)
|
|
03.67.Ac
|
(Quantum algorithms, protocols, and simulations)
|
|
03.65.Aa
|
(Quantum systems with finite Hilbert space)
|
|
|
|
|
[1] von Neumann J 1951 Appl. Math. Ser. 12 36
[2] Piotrowski E W and Sladkowski J 2002 Physica A 312 208
[3] Baaquie B E 2001 Phys. Rev. E 64
[4] Nielson M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University)
[5] Eisert J, Wilkens M and Lewenstein M 1999 Phy. Rev. Lett 83 3077
[6] Benjamin S C and Hayden P M 2001 Phys. Rev. Lett. 87 069801
[7] Marinatto L and Weber T 2001 Phys. Lett. A 280 249
[8] Flitney A P and Abbott D 1999 Phys. Rev. A 65 062318
[9] Lo C F and Kiang D 2003 Phys. Lett. A 318 333
[10] Meyer A 1999 Phys. Rev. Lett. 82 1052
[11] Cheon T and Tsutsui I 2006 Phys. Lett. A 348 147
[12] Ichikawa T and Tsutsui I 2007 Ann. Phys. 322 531
[13] Ichikawa T, Tsutsui I and Cheon T 2008 J. Phys. A: Math. Theor. 41 135303
[14] Alsing P M, Fuentes-Schuller I, Mann R B and Tessier T E 2006 Phys. Rev. A 74 032326
[15] Ling Y et al 2007 J. Phys. A: Math. Theor. 40 9025
[16] Gingrich R M and Adami C 2002 Phys. Rev. Lett. 89 270402
[17] Pan Q and Jing J 2008 Phys. Rev. A 77 024302
[18] Fuentes-Schuller I and Mann R B 2005 Phys. Rev. Lett. 95 120404
[19] Terashima H and Ueda M 2003 Int. J. Quantum Inf. 1 93
[20] Gibbons R 1992 Game Theory for Applied Economists (Princeton, NJ: Princeton University Press)
[21] Iqbal A and Toor A H 2002 Phys. Rev. A 65 052328
[22] Zhu X and Kuang M 2007 J. Phys. A: Math. Theor. 40 7729
[23] Zhu X and Kuang L M 2008 Commun. Theor. Phys. 49 111
[24] Khan S, Ramzan M and Khan M K 2010 J. Phys. A: Math. Theor. 43 375301
[25] Marinatto L and Weber T 2000 Phys. Lett. A 272 291
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|