Two players, Jack and Jill, are put in separate rooms. Then each is told the rules of the game. Each

Two players, Jack and Jill, are put in separate rooms.
Then each is told the rules of the game. Each is to pick one of six letters: G,
K, L, Q, R, or W. If the two happen to choose the same letter, both get prizes
as follows:

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If they choose different letters, each gets 0. This whole
schedule is revealed to both players, and both are told that both know the
schedules, and so on.

(a) Draw the table for this game. What are the Nash
equilibria in pure strategies?

(b) Can one of the equilibria be a focal point? Which
one? Why?

 

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