Consider the following two-player game with players Ann and Beth, where Ann has three choices, A1, A2, or A3, and Beth has even four choices, B1, B2, B3, and B4.

B1 | B2 | B3 | B4 | |

A1 | 2,2 | 3,2 | 2,3 | 3,3 |

A2 | 1,1 | 2,3 | 3,2 | 4,2 |

A3 | 4,1 | 3,4 | 4,1 | 5,2 |

- (1 point) What is the payoff for Beth if Ann plays A2 and Beth plays B3?
- (1 point) Find the Maximin moves for both Ann and for Beth.
- (1 point) Which moves are strictly dominated by which moves?
- (1 point) Which moves are weakly dominated by which moves?
- (1 point) Draw the best response digraph.
- (1 point) Are there any Nash equilibria?
- (1 point) Which move do you think Ann will play? Which move do you think Beth will play? Give a reason.
- (1 point) The last question refers to the following zero-sum game:
L R U 1 3 D 2 4