We propose a flow admission control method to maximize the satisfaction of all users when accommodating communications with different bandwidths in the same network, and we demonstrate its effectiveness using theoretical equations. Conventional flow admission control assumes the rationality of all users requesting the correct bandwidth. However, in a real network, some users may mistakenly select the incorrect bandwidth. Thus, we need to analyze user behavior to calculate an optimal control parameter for flow admission control. We model our flow admission control with user behavior by using stochastic evolutionary game theory and queueing theory. In addition, we analyze the characteristics of our flow admission control while accounting for user behavior. As a result, we find the total user satisfaction is maximized when the selection error probability is 20% under the conditions of our study.