Considering a two-player, one-shot simultaneous-move game, and each player can choose strategy A or B. If both players choose A, they both get $400; and if both players choose B, each of them gets a payoff of $200. If one chooses strategy A and the other chooses strategy B, then the one chooses A earns $100 and the payoff for the other chooses B is $600.
a) Write the above game in a normal form.
b) Write the above game in an extensive form.
c) Find each player’s dominant strategy, if it exists.
d) Find the strategy set that yields Nash Equilibrium for this game.