Set Theory of Infinite Imperfect Information Games
Benedikt Löwe

Abstract:
We survey the recent developments in the investigation of  Blackwell determinacy axioms. It is generally believed that  ordinary (Gale-Stewart) determinacy and Blackwell determinacy for  infinite games are equivalent in a strong sense, but this  conjecture (of Tony Martin's) has not yet been proved. The paper  is a snapshot of the current state-of-the-art knowledge in this  area.