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Mathematical Problems in Engineering
Volume 2014, Article ID 148915, 6 pages
http://dx.doi.org/10.1155/2014/148915
Research Article

Punishment and Feedback Mechanism for the Evolution Game on Small-World Network Based on Varying Topology

1Key Laboratory of Beijing for Field-Bus Technology & Automation, North China University of Technology, Beijing 100144, China
2College of Science, North China University of Technology, Beijing 100144, China

Received 6 December 2013; Accepted 7 January 2014; Published 16 February 2014

Academic Editor: Zhengguang Wu

Copyright © 2014 Yuntao Shi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We address the problem of the punishment and feedback mechanism for the evolution game on small-world network with varying topology. Based on the strategy updating rule, we propose a new punishment and feedback mechanism; that is, all the individuals of the network will play an -round Prisoner’s Dilemma Game firstly and then, for the most defectors, their neighbors will punish them and break the connecting link with them and set up the new connecting link for themselves. The mechanism can make the degree of the whole network decrease. We find that the mechanism can help keep the cooperators surviving and make them avoid being wiped out by the defectors. With the mechanism being adopted, the number of -round Prisoner’s Dilemma Game (PDG) almost has no effect on the evolution game. Furthermore, the probability of the average connecting and the scale of the network is related to the result of the evolution game.