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This paper investigates the modeling and control of networked evolutionary games based on prisoner's dilemma game with punishment strategy. The networked evolutionary game is expressed as a logical dynamic system and then converted into its algebraic form relying on the matrix expression of logic and the method of semi - tensor product of matrices. Next, based on the algebraic form, the dynamic behavior...
This paper is concerned with non-zero sum differential games of mean-field stochastic differential equations with partial information and convex control domain. First, applying the classical convex variations, we obtain stochastic maximum principle for Nash equilibrium points. Subsequently, under additional assumptions, verification theorem for Nash equilibrium points is also derived. Finally, as...
In this paper, a linear-quadratic leader-follower stochastic differential game with asymmetric information is studied. By maximum principle and stochastic filtering, a feedback Stackelberg equilibrium is given. The result can be regarded as a continuation of [5].
In this paper, we study the stochastic linear quadratic regulation problem for linear discrete-time systems with multiple input channels. A necessary and sufficient condition is obtained by applying the leader-follower game approach. Different from the augmentation technique, the complete solution is given in terms of one difference Riccati equation and one Riccati-type equation. The key is to introduce...
Using the semi-tensor product of matrices (STP), this paper investigates the Nash equilibrium and dynamics analysis of evolutionary networked games with multi-group. First, the formal evolutionary networked game model with multi-group is modeled as the multi-layer networked game. Second, based on the algebraic form of the utility function of each player, the necessary and sufficient condition for...
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