Game Preparation and Experience

We study a setting where two players prepare for a game and observe what their opponent has played in previous instances of that game. Depending on these observable preferences, we examine how much preparation time is put into the different alternatives and which options are chosen. In a static one-shot game, both mixing and being a predictable expert playing only one option occur in equilibrium. Specialization is always a stable outcome in the dynamic game with adapting experience whereas mixing is sometimes not. To show this, we introduce a new way of applying evolutionary game theory tools to dynamic games