consider a game with two players who cannot communicate and in which each player is asked a question the players can answer the question honesty or lie. if both answer honestly each receives $100 if one player answer honestly and the other tell the lies the liar receives $500 and the honest player gets nothing if both lies then each receives $50

a)describe the strategies and payoffs of this game

b)construct the payoff matrix

c)what is equilibrium of this game

d)compare this game to the prisoner's dilemma are the two games similar or different explain.