In this paper, we revisit the power control problem in wireless networks by introducing a signaling game approach. This game is known in the literature as "Cheap Talk". Under the considered scenario, we consider two players named player I and player II. We assume that player I only knows his channel state without any information about the channel state of player II and vice-versa. Player I moves first and sends a signal to player II which can be accurate or distorted. Player II picks up his power control strategy based on this information and his belief about the nature of the informed player's information. In order to analyze such a model, the proposed scheme game is transformed into 4x4 matrix game. We establish the existence of Nash equilibria and show by numerical results the equilibria and the performance of the proposed signaling game