Currently in the world of telecommunication there is the problem to ensure that user services can be transported properly in wireless networks, such networks must certify that the maximum end-to-end delay experienced is below the thresholds necessary to provide quality of service (QoS) especially in applications and services that require transfer of information in real time, such as voice calls, video calls, online games, among others; therefore, it is necessary that the delays are minimal to perform correct communication. In this paper, the problem is approached from the perspective of the theory of noncooperative games using equilibrium arguments such as the equilibrium of satisfaction (ES) as this solution concept ensures meet delay constraints end to end providing the required QoS in this regard.