Before revision: We define and study periodic strategies in two player finite strategic form games . This concept can arise from some epistemic analysis of the rationalizability concept of Bernheim and Pearce.
After revision: We define and study periodic strategies in two player finite strategic form games which we call periodic strategies and the solution concept periodicity. As we will explicitly demonstrate, the periodicity solution concept has implications for non-trivial realistic games, which renders this solution concept very valuable. The most striking application of periodicity is that in mixed strategy strategic form games, we were able to find solutions that result to values for the utility function of each player, that are equal to the Nash equilibrium ones, with the difference that in the rationalizability concept of Bernheim and Pearce.