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In this paper a new solution for the design of a control system of a hybrid vehicle is presented using game model approaches. Hybrid vehicles combined the benefits of a gasoline engine and an electric motor, which can be utilized in parallel through a mechanical transmission. Players are considered to be the electric motor and the gasoline engine. Payoff matrices of the bimatrix game are calculated by a power controller of the hybrid vehicle. The Lemke-Howson algorithm used to compute a Nash equilibrium point which is a pair of strategies for both players. The solution concept is to integrate torque for satisfying the driver pedal motion. The ratio of the power contribution between the gasoline engine and electric motor is the key point for efficient driving, whilst satisfying power demands. The main contribution of this paper is the development of a power controller which improves fuel economy and reduces charging cycles thus minimizing emissions.