Indicate for each sentence whether it is true or false. Mark true with a T and false with a F. For each sentence, write a few words of justification.

In a 2x2 simultaneous-move game (with ordinal payoffs): a. All Pareto-efficient outcomes are necessarily Nash equilibria. b. There is at least one pure Nash equilibrium. c. All outcomes can be Pareto-efficient. d. If both players have a dominant strategy, then there are two pure Nash equilibria. e. If none of the players has a dominant strategy, then there are no pure Nash equilibria