(Solved): game payoff matrix / game theory. please help. thank you! 1.Given the game payoff matrix, Identify t ...

1.Given the game payoff matrix, Identify the game mode (strictly determined or non strictly determined), find the optimal strategy for each player and the expected value of the game, State the game favor which player.(25pts each) 1) \[ A=\left[\begin{array}{cccc} -1 & 1 & 2 & -1 \\ 2 & -1 & -2 & -3 \\ 1 & 2 & 0 & 1 \\ 0 & 2 & 3 & 3 \end{array}\right] \] 2) \[ A=\left[\begin{array}{ll} -1 & 3 \\ -3 & 1 \end{array}\right] \] 3) \[ A=\left[\begin{array}{cc} 1 & -6 \\ -2 & 7 \end{array}\right] \]