Before revision:  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 Nash strategiesplaying, the payoffs strongly depend on what the opponent plays, while in the periodic strategies case, the payoffs of each player are completely robust against what the opponent plays.
After revision:  As we will explicitly demonstrate, the periodicity solution concept has implications for non-trivial games. 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 Nash strategiesplaying, the payoffs strongly depend on what the opponent plays, while in the periodic strategies case, the payoffs of each player are completely robust against what the opponent plays.