Answer whether each of the following statements is True or False. Explain why.

• (a) For a 2-player game with finite actions: For any action a1 of Player 1, there exists at least one action for Player 2 that is a best response to a1 .
• (b) In a 2-player strategic game with ordinal preferences, for any action ai of player i, there exists at least one action for player j that is a best response to ai .