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| Effects of Geographic Scaling Property on the Evolution of Naming Game |
| ZHUANG Qian1, SHEN Zhesi2, HE Lin1, DI Zengru2
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1. College of Information Science and Technology, Nanjing Agricultural University, Nanjing 210095, China;
2. School of Systems Science, Beijing Normal University, Beijing 100875, China |
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Abstract The structure of social networks is of paramount importance in collective behaviors,e.g. information propagation, consensus and formation of social norms. In this paper, a special network is constructed by adding remote links among nodes over lattice graphs with total energy constraints.A power law distribution is used to model the relation between the link probability and the distance.We study the effect of geographic scaling property on the dynamics of Naming Game with a group interaction rule. We find that there exists an optimal parameter value which minimizes the time to converge to global consensus. When the total energy constraint is large enough the optimal parameter value is approximately 1.5. Numerical simulations indicate that the geographic scaling property in social network plays an important role in the emergence of social collective behavior and rules.
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Received: 03 March 2015
Published: 25 February 2025
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