Minmax and maxmin of repeated games with incomplete information

For a class of 2-Person 0-sum repeated games with incomplete information, Aumann/Masch1er [1967] and Stearns [1967] have given a necessary and sufficient condition for the existence of v_∞ (the value of the infinitely repeated game). Mertens/Zamir [1971] and Mertens [1971/72] have given the formula (and thus proved the existence) of {Mathematical expression} v_n, the limit of the values of the games with n repetitions, for a much larger class of games than that treated by Aumann/Maschler and Steams. In this paper we extend the Aumann-Maschler-Stearns results to the larger family of games studied by Mertens [1971/72].