Algebraization and Optimization of Networked Evolutionary Boxed Pig Games with Passive Reward and Punishment. Issue 5 (23rd July 2018)

• Record Type: Journal Article
• Authors: Wang, Jianjun; Zhao, Jianli; Fu, Shihua
• Is Part Of: Asian journal of control. Volume 21:Issue 5(2019)
• Page Start: 2415
• Page End: 2424
• Publication Date: 2018-07-23
• Subjects: Boxed pig game -- passive reward and punishment -- optimization -- networked evolutionary games -- semi‐tensor product of matrices; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.1837
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: This paper investigates the evolutionary dynamics and optimization problem of the boxed pig games with the mechanism of passive reward and punishment by using the semi‐tensor product method. First, an algorithm is provided to construct the algebraic formulation for the dynamics of the networked evolutionary boxed pig games with the mechanism of passive reward and punishment. Then, the impact of reward and punishment parameters on the final cooperation level of the whole network is discussed. Finally, an example is provided to show the effectiveness of our results.