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Chin. Phys. B, 2010, Vol. 19(11): 110201    DOI: 10.1088/1674-1056/19/11/110201
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Punishment in optional public goods games

Wang Zhen(王震)a),Xu Zhao-Jin(许照锦)b), and Zhang Lian-Zhong(张连众)a)
a School of Physics, Nankai University, Tianjin 300071, China; b School of Science, Tianjin University of Technology, Tianjin 300384, China
Abstract  In this work, the optional public goods games with punishment are studied. By adopting the approximate best response dynamics, a micro model is given to explain the evolutionary process. Simultaneously, the magnitude of rationality is also considered. Under the condition of bounded rationality which provides a light to interpret phenomena in human society, the model leads to two types of equilibriums. One is the equilibrium without punishers and the other is the equilibrium including only punishers and cooperators. In addition, the effects of rationality on equilibriums are briefly investigated.
Keywords:  public goods games      rationality      equilibrium  
Received:  17 May 2010      Revised:  28 June 2010      Accepted manuscript online: 
PACS:  02.50.Le (Decision theory and game theory)  
  87.23.Ge (Dynamics of social systems)  
  87.23.Kg (Dynamics of evolution)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10672081), and the Center for Asia Studies of Nankai University (Grant No. 2010-5).

Cite this article: 

Wang Zhen(王震),Xu Zhao-Jin(许照锦), and Zhang Lian-Zhong(张连众) Punishment in optional public goods games 2010 Chin. Phys. B 19 110201

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