Quantum Stackelberg Duopoly of Continuous Distributed Asymmetric Information
WANG Xia1, YANG Xiao-Hua2, MIAO Lin1, ZHOU Xiang1, HU Cheng-Zheng1
1Department of Physics, Wuhan University, Wuhan 4300722Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074
Quantum Stackelberg Duopoly of Continuous Distributed Asymmetric Information
WANG Xia1;YANG Xiao-Hua2;MIAO Lin1;ZHOU Xiang1;HU Cheng-Zheng1
1Department of Physics, Wuhan University, Wuhan 4300722Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074
摘要The minimal quantization structure is employed to investigate the quantum version of the Stackelberg duopoly with continuous distributed asymmetric information, i.e. the first mover has incomplete information that obeys a continuous distribution while the second mover has complete information. It is found that the effects of the positive quantum entanglement on the outcomes exhibit many interesting features due to the information asymmetry. Moreover, although the first-mover advantage is counteracted by the information asymmetry, the positive quantum entanglement still enhances the first-mover advantage and improves the first-mover tolerance of the information asymmetry beyond the classical limit.
Abstract:The minimal quantization structure is employed to investigate the quantum version of the Stackelberg duopoly with continuous distributed asymmetric information, i.e. the first mover has incomplete information that obeys a continuous distribution while the second mover has complete information. It is found that the effects of the positive quantum entanglement on the outcomes exhibit many interesting features due to the information asymmetry. Moreover, although the first-mover advantage is counteracted by the information asymmetry, the positive quantum entanglement still enhances the first-mover advantage and improves the first-mover tolerance of the information asymmetry beyond the classical limit.
[1] Eisert J, Wilkens M and Lewenstein M 1999 Phys. Rev. Lett. 83 3077 [2] Meyer D A 1999 Phys. Rev. Lett. 82 1052 [3] Li H, Du J F and Massar S 2002 Phys. Lett. A 306 73 [4] Lo C F and Kiang D 2004 Phys. Lett. A 321 94 [5] Du J F, Li H, Xu X et al 2003 Phys. Rev. E 68 016124 [6] Qin G, Chen X, Sun M et al 2005 J. Phys. A: Math. Gen. 38 4247 [7] Chen X, Qin G, Zhou X Y et al 2004 Chin. Phys. Lett. 221033 [8] Lo C F and Kiang D 2003 Europhys. Lett. 64 592 [9] Lo C F and Kiang D 2003 Phys. Lett. A 318 333 [10] Gibbons R 1992 Game Theory for Applied Economists(Princeton, NJ: Princeton University Press) Bierman H S and Fernandez L 1998 Game Theory with EconomicApplications 2nd edn (Reading, MA: Addison-Wesley) [11] Lo C F and Kiang D 2005 Phys. Lett. A 346 65 [12] Du J F, Li H, Xu X et al 2002 Phys. Rev. Lett. 88137902 [13] Ball P 2001 Economics Nobel (Nature Science Update, 16October 2001) http://www.nature.com/nsu/011018/011018-7.html)