Abstract
In actual economic activities, different economic systems usually interact with each other, and the coupled networked evolutionary game is an important theoretical tool to describe and analyse such economic activities. In this paper, we investigate a kind of coupled evolutionary public good games (PGGs) with threshold which have two enhancement factors. First, the algebraic formulation for the dynamics of the given coupled PGGs is constructed by using a semi-tensor product (STP) of matrices. Then, the strategy optimisation problem is considered based on the algebraic expression, and all valid state feedback controls are designed to make the investment of the coupled evolutionary game in each layer reach their own threshold. Finally, an illustrative example is studied to support our new results.
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