Abstract: In this paper we have generalized the time frequency of learning in the repeated games to study the problems of strategy converging and utility consistency under the fictitious play rule.  We have showed that in the process of incomplete learning, the strict Nash Equilibria are absorbing for the fictitious play provided they are played by uniform learning and the fictitious play has the property of utility consistency when the learning times are frequent enough and the fictitious play exhibits infrequent switches.