Abstract
AbstractWe study the differential games consisting of multiple players subject to switched dynamics. Firstly, the definition of the switched Nash equilibrium (NE) is given. Then, conditions are proposed under which the switched NE can be constructed. Furthermore, in order to improve the efficiency of the switched NE, we focus on seeking the Pareto Nash equilibrium (PNE) of switched differential games. A sufficient condition is provided such that the PNE can be achieved by designing a Pareto optimal switching strategy orchestrating the activation among subsystems. Finally, a conceptual algorithm is developed to construct the Pareto optimal switching strategy and the corresponding PNE of switched differential games.KeywordsSwitched Nash equilibriumPareto Nash equilibriumSwitched differential games
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