Two players, Curly and Shemp, are betting on the toss of a fair coin.

Shemp tosses the coin, hiding the result from Curly. Shemp looks at the coin. If the coin is heads, Shemp says that he has heads and demands $1 from Curly. If the coin is tails, then Shemp may tell the truth and pay Curly $1, or he may lie and say that he got a head and demands $1 from Curly. Curly can challenge Shemp whenever Shemp demands $1 to see whether Shemp is telling the truth, but it will cost him $2 if it turns out that Shemp was telling the truth. If Curly challenges the call and it turns out that Shemp was lying, then Shemp must pay Curly $2. Find the matrix and solve the game.