TITLE:
Networked Evolutionary Model of Snow-Drift Game Based on Semi-Tensor Product
AUTHORS:
Lv Chen
KEYWORDS:
Snow-Drift Game, Semi-Tensor Product, Networked Evolutionary Games, Rewarding and Penalty Strategy
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.3,
March
28,
2019
ABSTRACT: This paper investigates the networked evolutionary
model based on snow-drift game with the strategy of rewards and penalty.
Firstly, by using the semi-tensor product of matrices approach, the
mathematical model of the networked evolutionary game is built. Secondly,
combined with the matrix expression of logic, the mathematical model is
expressed as a dynamic logical system and next converted into its evolutionary
dynamic algebraic form. Thirdly, the dynamic evolution process is analyzed and
the final level of cooperation is discussed. Finally, the effects of the
changes in the rewarding and penalty factors on the level of cooperation in the
model are studied separately, and the conclusions are verified by examples.