Consider a game with two players who cannot communicate with each other and in which each

player is asked a question. The players can answer the question honestly or lie. If both answer

honestly, each receives $$100.$ If one player answers honestly and the other lies, the liar receives

$$500$ and the other player gets nothing. If both lie, then each receives $$50.$

a$.)$ Describe the strategies of this game.

b$.)$ Construct a payoff matrix.

c$.)$ What is the Nash Equilibrium of this game? Explain your answer with the help of a

decision tree.