Consider a 2x2 two-player game, where S, = {U, D} and S2 = {L, R}. Let U1($1, $2) denote the utility function of player 1 and U2($1, $2) be the utility function of player 2 from playing strategy profile ($1, $2), where s, E S, and $2 E S2. Assume now that the payoffs of the players have changed and are such that VI($1, $2) = U1($1, $2) + a and v2($1, $2) = U2($1, $2) + b, where a and b are two real numbers. 1. Does this utility transformation affect the Nash Equilibrium in pure strategy of the game? Explain why or why not. 2. Does this utility transformation affect the Nash Equilibrium in mixed strategy of the game? Explain why or why not