Optimal Cooperation Enhancement on Spatial Networks
TAO Shui-Yuan, CUI Ming-Zhu, DAI Qiong-Lin, YANG Jun-Zhong**
1 School of Science, Beijing University of Posts and Telecommunications, Beijing 100876
Abstract :We investigate the evolutionary Prisoner's dilemma game on the simplest spatial networks constructed as geometrical graphs. The optimal cooperation enhancement against the topology randomness is found. It is proposed that the optimal behavior of the cooperation results from the competition between individuals with high degrees and with low degrees: the former assists the formation of cooperator clusters and the latter tends to prevent the formation of such clusters.
出版日期: 2014-11-28
:
02.50.Le
(Decision theory and game theory)
87.23.Kg
(Dynamics of evolution)
07.05.Tp
(Computer modeling and simulation)
[1] Smith J M 1982 Evolution and the Theory of Games (Cambridge: Cambridge University)
[2] Hofbauer J and Sigmund K 1998 Evolutionary Games and Population Dynamics (Cambridge: Cambridge University)
[3] Szabo G and Fath G 2007 Phys. Rep. 446 97
[4] Rapoport A and Chammah A 1965 Prisoner's Dilemma (Ann Arbor: University of Michigan)
[5] Nowak M A and May R M 1992 Nature 359 826
[6] Abramson G and Kuperman M 2001 Phys. Rev. E 63 030901(R)
[7] Duran O and Mulet R 2005 Physica D 208 257
[8] Santos F C and Pacheco J M 2005 Phys. Rev. Lett. 95 098104
[9] Santos F C, Pacheco J M and Lenaerts T 2006 Proc. Natl. Acad. Sci. U.S.A. 103 3490
[10] Zimmermann M G and Eguiluz 2005 Phys. Rev. E 72 056118
[11] Szabó G and Toke C 1998 Phys. Rev. E 58 69
[12] Dai Q, Li H, Cheng H, Qian X, Zhang M and Yang J 2012 Phys. Rev. E 86 011113
[13] Pacheco J M, Traulsen A and Nowak M A 2006 Phys. Rev. Lett. 97 258103
[14] Cheng H, Li H, Dai Q, Zhu Y and Yang J 2010 New J. Phys. 12 123014
[15] Scholz1 J C and Greiner M 2007 New J. Phys. 9 185
[16] Huang Z G, Wu Z X, Xu X J, Guan J Y and Wang Y H 2007 Eur. Phys. J. B 58 493
[17] Szabo G, Vukov J and Szolnoki A 2005 Phys. Rev. E 72 047107
[18] Perc M 2006 New J. Phys. 8 22
[19] Ren J, Wang W and Qi F 2007 Phys. Rev. E 75 045101(R)
[20] Huang Z G, Wang S J, Xu X J and Wang Y H 2008 Europhys. Lett. 81 28001
[21] Wu Z X and Wang Y H 2007 Phys. Rev. E 75 041114
[22] Barthelemy M 2011 Phys. Rep. 499 1
[23] Albert R and Barabasi A L 2002 Rev. Mod. Phys. 74 47
[24] Watts D J and Strogatz S H 1998 Nature 393 440
[25] Dai Q, Cheng H, Li H and Yang J 2010 Chin. Phys. Lett. 27 120202
[1]
. [J]. 中国物理快报, 2018, 35(9): 98901-.
[2]
. [J]. 中国物理快报, 2018, 35(3): 30202-.
[3]
. [J]. 中国物理快报, 2017, 34(2): 28901-028901.
[4]
. [J]. 中国物理快报, 2015, 32(11): 118901-118901.
[5]
. [J]. 中国物理快报, 2015, 32(5): 58901-058901.
[6]
. [J]. 中国物理快报, 2013, 30(12): 120302-120302.
[7]
. [J]. 中国物理快报, 2013, 30(10): 108902-108902.
[8]
. [J]. 中国物理快报, 2013, 30(5): 50302-050302.
[9]
. [J]. Chin. Phys. Lett., 2012, 29(12): 120303-120303.
[10]
. [J]. Chin. Phys. Lett., 2012, 29(11): 118901-118901.
[11]
. [J]. 中国物理快报, 2012, 29(8): 88901-088901.
[12]
ZHANG Feng-Li,ZHANG Mei**. Emergence and Decline of Scientific Paradigms in a Two-Group System [J]. 中国物理快报, 2012, 29(4): 48701-048701.
[13]
Ahmad Nawaz* . Quantum State Tomography and Quantum Games [J]. 中国物理快报, 2012, 29(3): 30308-030308.
[14]
Salman Khan**;M. Khalid Khan
. Quantum Stackelberg Duopoly in a Noninertial Frame [J]. 中国物理快报, 2011, 28(7): 70202-070202.
[15]
DENG Li-Li;TANG Wan-Sheng**;ZHANG Jian-Xiong
. Coevolution of Structure and Strategy Promoting Fairness in the Ultimatum Game [J]. 中国物理快报, 2011, 28(7): 70204-070204.