In this game you will need to choose between the colors Blac

In this game, you will need to choose between the colors Black or White. Think of this as a \"grade bid\". I will randomly pair your choice in this survey with the choice of another one of your classmates. Neither you nor your classmate will ever know with whom you were paired. Here is how the grades may be assigned for this course.

If you put Black and your pair puts White, then you will get a grade of A in the course, and your pair will get a grade of C.

If both you and your pair put Black, then you both will get grade B-.

If you put White and your pair puts Black, then you will get grade C, and your pair grade A.

If both you and your pair put White, then you will both get grade B+.

Solution

When player A chooses black, it\'s better for B to choose black.

When A chooses White, B should choose black.

Similarly for A black is the dominant strategy.

Both with choose black.