Genuine ignorance can advantage a player in mixed-motive games. [contrarian]
Another paradox of mixed-motive games is that genuine ignorance can be an advantage to a player if it is recognized and taken into account by an opponent. This paradox, which can arise either in the coordination problem or in the immunity from a threat, has no counterpart in zero-sum games. And, similarly, in a zero-sum game between rational players with full information it can never be an advantage to move first (to play the "minorant game" in the language of von Neumann and Morgenstern); in the mixed game it certainly can.
XREF: Connects to game theory concepts of von Neumann and Morgenstern, and the broader idea that asymmetries of information can be strategically useful rather than purely disadvantageous.
Thomas C. Schelling, The Strategy of Conflict, loc. 364