| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Evolutionary Self-Questioning Games with Local Contribution |
| LIU Yong-Kui1, LI Zhi1, CHEN Xiao-Jie2,3, WANG Long 1,2 |
| 1Center for Complex Systems, Department of Automatic Control Engineering, Xidian University, Xi'an 7100712State Key Laboratory for Turbulence and Complex Systems, Center for Systems and Control, College of Engineering, Peking University, Beijing 1008713Department of Zoology, University of British Columbia, Vancouver BC V6T 1Z4, Canada |
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| Cite this article: |
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LIU Yong-Kui, LI Zhi, CHEN Xiao-Jie et al 2009 Chin. Phys. Lett. 26 088902 |
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Abstract We investigate the evolutionary Prisoner's Dilemma and the Snowdrift Game on small-world networks in a realistic social context where individuals consider their local contributions to their group and update their strategies by self-questioning. An individual with introspection can determine whether its current strategy is superior by playing a virtual round of the game and its local contribution is defined as the sum of all the payoffs its neighbors collect against it. In our model, the performance of an individual is determined by both its payoff and local contribution through a linear combination. We demonstrate that the present mechanism can produce very robust cooperative behavior in both games. Furthermore, we provide theoretical analysis based on mean-field approximation, and find that the analytical predictions are qualitatively consistent with the simulation results.
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| Keywords:
89.75.Hc
87.23.Kg
02.50.Le
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Received: 08 December 2008
Published: 30 July 2009
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| PACS: |
89.75.Hc
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(Networks and genealogical trees)
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87.23.Kg
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(Dynamics of evolution)
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02.50.Le
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(Decision theory and game theory)
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[1]Axelrod R and Hamilton W D 1981 Science 2111390
[2] Colman A M 1995 Game Theory and Its Applications inthe Social and Biological Sciences (Oxford: Butterworth-Heinemann)
[3] Axelrod R 1984 The Evolution of Cooperation (NewYork: Basic books)
[4] Szab\'{o G and F\'{ath G 2007 Phys. Rep. 44697
[5] Nowak M A 2005 Science 314 1560
[6] Doebeli M and Hauert C 2005 Ecol. Lett. 8 748
[7] Hamiliton W D 1964 J. Theoret. Biol. 7 17
[8] Nowak M A and Sigmund K 2005 Nature 437 1290
[9] Nowak M A and May R M 1992 Nature 359 826
[10] Ohtsuki H et al 2006 Nature 441 502
[11] Traulsen A and Nowak M A 2006 Proc. Natl. Acad. Sci.U.S.A. 103 10952
[12] Zhang M F et al 2008 Chin. Phys. Lett. 251494
[13] Liu Y K et al 2009 Chin. Phys. Lett. 26048902
[14] Santos F C et al 2005 Phys. Rev. Lett. 95098104
[15] Santos F C and Pacheco J M 2006 J. Evol. Biol. 19 726
[16] Szab\'{o G et al 2005 Phys. Rev. E 72 047107
[17] Tomassini M et al 2006 Phys. Rev. E 73 016132
[18] Rong Z H et al 2007 Phys. Rev. E 76 027101
[19] Pusch A et al 2008 Phys. Rev. E 77 036120
[20] Assenza S et al 2008 Phys. Rev. E 78 017101
[21] Hauert C and Doebeli M 2004 Nature 428 643
[22] Nowak M A and Sigmund K 1992 Nature 355 250
[23] Nowak M A and Sigmund K 1993 Nature 364 56
[24] Posch M et al 1999 Proc. R. Soc. Ser. B 2661427
[25] Szab\'{o G and T\"{oke C 1998 Phys. Rev. E 58 69
[26] Wang W X et al 2006 Phys. Rev. E 74 056113
[27] Gao K, Wang W X and Wang B H 2007 Physica A 380 528
[28] Chen X J, Feng F and Wang L 2008 Physica A 387 5609
[29] Segbroeck S V et al 2009 Phys. Rev. Lett. 102058105
[30] Newman M E J and Watts D J 1999 Phys. Rev. E 60 7332
[31] Chen X J and Wang L 2008 Phys. Rev. E 77017103 |
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