GENERAL |
|
|
|
|
Impact of Distribution Fairness Degree and Entanglement Degree on Cooperation |
Xin Zhao1, Bo-Yang Liu1, Ying Yi2, Hong-Yi Dai3,4, Ming Zhang1** |
1College of Artificial Intelligence, National University of Defense Technology, Changsha 410073 2School of Management, Xiamen University, Xiamen 361005 3Department of Physics, National University of Defense Technology, Changsha 410073 4Interdisciplinary Center for Quantum Information, National University of Defense Technology, Changsha 410073
|
|
Cite this article: |
Xin Zhao, Bo-Yang Liu, Ying Yi et al 2018 Chin. Phys. Lett. 35 030202 |
|
|
Abstract We explore the impact of distributional fairness degree and entanglement degree on the cooperation between different players by investigating a modified prisoner's dilemma game. We not only introduce a new concept of distributional fairness degree, but also obtain the cooperation conditions for overcoming dilemma in terms of fairness and entanglement inequalities. It is demonstrated that distributional fairness can be of fundamental importance to promote cooperation with the help of quantum entanglement.
|
|
Received: 30 September 2017
Published: 25 February 2018
|
|
|
|
Fund: Supported by the National Natural Science Foundation of China under Grant Nos 61673389, 61273202 and 61134008. |
|
|
[1] | Roger B and Myerson 1991 Game Theory: Analysis of Conflict (Cambridge: Harvard University) | [2] | John V N and Oskar M 1953 Theory of Games and Economic Behavior (Princeton: Princeton University) | [3] | David A M 1999 Phys. Rev. Lett. 82 1052 | [4] | Eisert J, Wilkens M and Lewenstein M 1999 Phys. Rev. Lett. 83 3077 | [5] | Eisert J and Wilkens M 2000 J. Mod. Opt. 47 2543 | [6] | Marinatto L and Weber T 2000 Phys. Lett. A 272 291 | [7] | Nawaz A and Toor A H 2004 J. Phys. A 37 4437 | [8] | Toor A H and Nawaz A 2010 Phys. Lett. A 27 12 | [9] | Alexandre G M and Ladario D 2013 Physica A 392 400 | [10] | Frackiewicz P 1968 Phys. Lett. A 27 8 | [11] | Zhang P, Zhang Y and Peng L 2008 Europhys. Lett. 82 30002 | [12] | Zhang P, Zhou X Q and Wang Y L 2017 npj Quantum Inf. 3 24 | [13] | Simon C B and Patrick M H 2000 Quantum Phys. 30 35 | [14] | Xia H J, Li P P, Ke J H and Lin Z Q 2015 Chin. Phys. B 24 040203 | [15] | Du J F, Li H, Xu X D, Zhou X Y and Han R D 2001 Phys. Lett. A 289 9 | [16] | Du J F, Li H, Xu X D, Zhou X Y and Han R D 2002 Phys. Lett. A 302 229 | [17] | Li A and Yong X 2015 Sci. Rep. 4 6286 | [18] | Du J F, Li H, Xu X D, Zhou X Y and Han R D 2002 Chin. Phys. Lett. 19 1221 | [19] | Liu Y K, Li Z, Wang L and Chen X J 2010 Chin. Phys. B 19 090203 | [20] | Nawaz A 2013 Chin. Phys. Lett. 30 050302 | [21] | Fang X S, Zhu P, Liu R R and Wei G Y 2012 Chin. Phys. B 21 108702 | [22] | Dai Q L, Cheng H Y, Li H H and Yang J Z 2010 Chin. Phys. Lett. 27 120202 | [23] | Guo J Y, Huang X G, Wang Y H and Wu Z X 2010 Chin. Phys. B 19 020203 | [24] | Wang X P, Jiang L L and Wang B H 2012 Chin. Phys. B 21 070210 | [25] | Liu Y K, Zhang L and Wang L 2013 Phys. Lett. A 392 3640 | [26] | Glenn C L 2013 Wsahington Mon. 45 46 | [27] | Bermudez J L 1999 Analysis 59 243 | [28] | Nedim M A 2000 J. Econ. Dyn. Control 24 483 | [29] | Noguch M 2009 J. Math. Econ. 45 168 | [30] | Sen A M 1993 Oxford Encomics Papers 45 519 | [31] | Jacob E 2010 SIAM J. Control Optim. 48 3859 | [32] | Lei Z Z, Zhang M, Dai H Y, Chen X and Liu B Y 2015 Proc. 34th Chinese Control Conference (Hangzhou) p 8315 | [33] | Liu B Y, Dai H Y and Zhang M 2017 Quantum Inf. Process. 12 290 | [34] | Dai H Y, Chen P X, Liang L M and Li C Z 2006 Phys. Lett. A 355 285 |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|