The different cooperative behaviors on a kind of scale-free networks with identical degree sequence |
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| Institution: | 1. School of Traffic and Transportation Engineering, Central South University, Changsha, Hunan 410075, PR China;2. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, Hunan 410082, PR China;1. School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003, China;2. Department of Mathematics, Southeast University, Nanjing 210096, China;3. College of Mathematics, Nanjing Normal University, Nanjing 210097, China;4. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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| Abstract: | The power-law degree distribution of scale-free networks plays an important role in the bloom of cooperation in the evolutionary games performed on them. In this paper we apply prisoner’s dilemma and public goods game on a family of scale-free networks with the same degree sequence, and show that power-law behavior alone does not determine the cooperative behavior in scale-free networks. Instead, we present that the direct connections among large-degree nodes have a crucial influence on the evolution of cooperation in the scale-free network family. |
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