The Type Indeterminacy model is a theoretical framework that formalizes the constructive pref-erence perspective suggested by Kahneman and Tversky. In this paper we explore an extention of the TI-model from simple to strategic decision-making. A 2X2 game is investigated. We first show that in a one-shot simultaneaous move setting the TI-model is equivalent to a standard incomplete information model. We then let the game be preceded by a cheap-talk promise exchange game. We show in an example that in the TI-model the promise stage can have impact on next following be-havior when the standard classical model predicts no impact whatsoever. The TI approach differs from other behavioral approaches in identifying the source of the effect of cheap...