Boolean game on scale-free networks

Jing Ma, Pei-Ling Zhou, Tao Zhou, Wen-Jie Bai and Shi-Min Cai

Physica A: Statistical Mechanics and its Applications, 2007, vol. 375, issue 2, 709-716

Abstract: Inspired by the local minority game, we propose a network Boolean game and investigate its dynamical properties on scale-free networks. The system can self-organize to a stable state with better performance than the random choice game, although only the local information is available to each agent. By introducing the heterogeneity of local interactions, we find that the system will achieve the best performance when each agent's interaction frequency is linearly correlated with its information capacity. Generally, the agents with more information gain more than those with less information, while in the optimal case, each agent almost has the same average profit. In addition, we investigate the role of irrational factor and find an interesting symmetrical behavior.

Keywords: Boolean game; Local minority game; Scale-free networks; Self-organization (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:375:y:2007:i:2:p:709-716

DOI: 10.1016/j.physa.2006.10.006

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