In a two-player, one-shot, simultaneous-move game, each player can choose strategy A or strategy B. If both players choose strategy A, each earns a payoff of $400. If both players choose strategy B, each earns a payoff of $200. If player 1 chooses strategy A and player 2 chooses strategy B, then player 1 earns $100 and player 2 earns $600. If player 1 chooses strategy B and player 2 chooses strategy A, then player 1 earns $600 and player 2 earns $100.
a. Write this game in normal form.
b. Find each player's dominant strategy, if it exists.
c. Find the Nash equilibrium (or equilibria) of this game.
d. Rank strategy pairs by aggregate payoff (highest to lowest).
e. Can the outcome with the highest aggregate payoff be sustained in equilibrium? Why or why not?