In this paper, a new demand-side management problem of networked smart grid is formulated and solved based on evolutionarygame theory. The objective is to minimize the overall cost of the smart grid, where individual communities can switchbetween grid power and local power according to strategies of their neighbors. The distinctive feature of the proposed formulationis that, a small portion of the communities are cooperative, while others pursue their own benefits. This formulation canbe categorized as control networked evolutionary game, which can be solved systematically by using semi-tensor product. Anew binary optimal control algorithmis applied to optimize transient performances of the networked evolutionary game.
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