Chin. Phys. Lett.  2009, Vol. 26 Issue (10): 108701    DOI: 10.1088/0256-307X/26/10/108701
CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
Evolutionary Prisoner's Dilemma Game Based on Division of Work
LI Zhi-Hua1, WANG Bing-Hong1,2, LIU Run-Ran1, YANG Han-Xin1
1Department of Modern Physics, University of Science and Technology of China, Hefei 2300262The Research Center for Complex System Science, University of Shanghai for Science and Technology and Shanghai Academy of System Science, Shanghai 200093
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LI Zhi-Hua, WANG Bing-Hong, LIU Run-Ran et al  2009 Chin. Phys. Lett. 26 108701
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Abstract We propose a new two-type-player prisoner's dilemma game based on the division of work on a square lattice, in which a fraction of the population μ are assigned type A and the rest B. In a one-shot two-player game, we let both of their original payoffs be scaled by a same multiplicative factor α>1, if two neighboring players are of different types; however we leave the payoffs unchanged if they are of the same type. Then we show that combined with the two-type setup, the square lattice can assist to induce different social ranks according to players' abilities to collect payoffs. Simulation results show that the density of cooperation is significantly promoted for a wide range of the temptation to defection parameters and that there are optimal values for both α and μ leading to the maximal cooperation level. We reach these results by analyzing the distribution of the players in the social ranks and we also show some typical snapshots of the system.
Keywords: 87.23.Kg      02.50.Le      87.23.Ge      89.75.Fb     
Received: 18 May 2009      Published: 27 September 2009
PACS:  87.23.Kg (Dynamics of evolution)  
  02.50.Le (Decision theory and game theory)  
  87.23.Ge (Dynamics of social systems)  
  89.75.Fb (Structures and organization in complex systems)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/10/108701       OR      https://cpl.iphy.ac.cn/Y2009/V26/I10/108701
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LI Zhi-Hua
WANG Bing-Hong
LIU Run-Ran
YANG Han-Xin
[1] Smith J M 1982 Evolution and the Theory of Games(Cambridge: Cambridge University)
[2] Hofbauer J and Sigmund K 1988 Evolutionary Games andPopulation Dynamics (Cambridge: Cambridge University)
[3] Axelrod R 1984 The Evolution of Cooperation (NewYork: Basic Books)
[4] Nowak M and May R M 1992 Nature 359 826
[5] Santos F C and Pacheco J M 2005 Phys. Rev. Lett. 95 098104
[6] Abramson G and Kuperman M 2001 Phys. Rev. E 63 030901
[7] Wu Z X, Xu X J, Chen Y and Wang Y H 2005 Phys. Rev.E 71 037103
[8] Lieberman E, Hauert C and Nowak M A 2005 Nature 433 312
[9] Wang W X, Ren J, Chen G R and Wang B H 2006 Phys.Rev. E 74 056113
[10] Ren J, Wang W X and Qi F 2007 Phys. Rev. E 75 045101
[11] Rong Z H, Li X and Wang X F 2007 Phys. Rev. E 76 027101
[12] Wu G, Gao K, Yang H X and Wang B H 2008 Chin. Phys.Lett. 25 6
[13] Chen X J and Wang L 2008 Phys. Rev. E 77017103
[14] Vukov J, Szab\'o G and Szolnoki A 2008 Phys. Rev. E 77 026109
[15] Yang H X, Wang B H, Wang W X and Rong Z H 2008 Chin. Phys. Lett. 25 9
[16] Liu Y K, Li Z, Chen X J and Wang L 2009 Chin. Phys.Lett. 26 4
[17] Du W B, Cao X B, Zhao L and Zhou H 2009 Chin. Phys.Lett. 29 5
[18] Szab\'o G and T\"{oke C 1998 Phys. Rev. E 58 69
[19] Perc M and Szolnoki A 2008 Phys. Rev. E 77011904
[20] Yang H X, Wang W X, Wu Z X, Lai Y C and Bing B H 2009 Phys. Rev. E \textit{79 056107
[21] Chen Y Z, Huang Z G, Wang S J, Zhang Y and Wang Y H 2009 Phys. Rev. E \textit{79 055101
[22] Wu Z X, Xu X J and Wang Y H 2006 Chin. Phys. Lett. 23 531
[23] Wu Z X et al 2006 Phys. Rev. E 74 021107
[24] Szolnoki A and Szab\'o G 2007 Europhys. Lett. 77 30004
[25] Perc M, Szolnoki A and Szab\'o G 2008 Phys. Rev. E 78 066101
[26] Chen X J, Fu F and Wang L 2008 Int. J Mod. Phys. C 19 1377
[27] Szab\'o G and Szolnoki A 2009 Phys. Rev. E 79 016106
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