On the full dimensionality assumption for the discounted Folk Theorem
A sufficient condition for the discounted Folk Theorem is that for every individually rational payoff vector u, there exists another individually rational payoff vector v such that v < u. We present an example of a full dimensional game where this property fails to be satisfied. Furthermore, we present a simple and direct proof that full dimensionality implies a weaker, but still sufficient property for the discounted Folk Theorem.