 The conjecture holds only when there is an infinite time horizon, as otherwise a possible action for the monopolist would be to announce a very high price until the second to last period, and then sell at the static monopoly price in the last period.The monopolist could avoid this problem by committing to a stable linear pricing strategy or adopting other business strategies.Imagine there are consumers, called formula_1 and formula_2 with valuations of good with formula_3 and formula_4 respectively.