While trying to get a service from the Base station it happens that many devices will find themselves competing to get the cellular service, which means each device will use the maximum power possible to win the competition, but if there is another solution that will allow the device to get what it wanted with minimum of energy, how the device will react to it? In other words, we know that the communication through a Device-to-Device (D2D) link is done with a minimum of transmitted power, so why not optimize the power in a cellular communication by introducing D2D communication (i.e. switching from competition to cooperation). In this paper we will focus on studying the players'behavior based on quitting games(i.e. a non cooperative game theory), specifying both the pure and mixed Nash equilibrium during a competition between two devices while communicating with the base station, as well as calculating the probability of quitting and the average quitting time.