In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second. GAME 33 Player A Player B B1 10, 12 A1 A2 9, 3 A3 8, 10 In Game 33 above, B2 B3 8,8 7,6 9,4 12, 10 11, 1 14,3 B1 is a dominated strategy for Player B B2 is a dominated strategy for Player B B3 is a dominated strategy for Player B Player B has no dominated strategies.

Question 29 Firm B Q = 3 Q= 4 Firm A Q = 3 16,16 12,18 Q = 4 18,12 13,13 The Nash equilibrium in this game is Q = 4 for firm A and Q = 3 for firm B. %3D Q = 3 for firm A and Q = 3 for firm B. %3D Q = 3 for firm A and Q = 4 for firm B. %3D Q = 4 for firm A and Q = 4 for firm B.

Consider a bankruptcy game with two risk neutral players where V =$800,000, C1= $300,000 and C2=$800,000. a) What is the Nash bargaining solution?

Refer to the following payoff table: Firm A's Advertising Budget Multiple Choice Low O Medium High Firm A High Firm A High A Firm B Medium D G Low $900, $900 $1,000 $800 Firm B's Advertising Budget Medium B E H $820, $1,220 $950, $1,025 $875, $920 $800, $875 After the first round of elimination, are there any dominant strategies? If so, which one(s)? C Neither firm has a dominant strategy after the first round. F High $1,060, $1,100 $1,040, $1,000 $1,025, $1,175

Use the following game table to answer the question: Player 2 Y A 10, 5 6, 3 0,0 Player 1 B 2,6 1, 3 0,0 3,5 3, 4 3, 3 One of these players has a strictly dominant strategy. Which player, and what strategy is it? Player 2; Y Player 1; A Player 2; X O Player 1; B O Player 1; X

GAME 5 Player B B1 B2 Player A A1 7,3 | 5, 10 A2 3, 8| 9, 6 In Game 5 above, O Neither player has a dominant strategy. O Player B has a dominant strategy. O Player A has a dominant strategy. O Both players have dominant strategies.

For the game below, find all mixed-strategy Nash equilibria.

the Consider a simultaneous-move integer game between two players: Marilyn and Noah. Each of player is required to announce a positive integer between 1 to 4. In other words, a player can announce 1, 2, 3, or 4. Two players announce their integers simultaneously. Notice that this game is different from the games we learned in class in that each player has four actions to take. The payoffs of the players in the game are specified as follows: (1) when the two announced integers are different, whoever reports the lower number pays $1 to the other player, so that the loser of the game has payoff -1 and the winner of the game has payoff 1; (2) when the two players announce the same integer, their payoffs are both O. What is Marilyn's maximin strategy? 01 02 03 O

Player 1 3 Up 0 Down Player 2 Left 4,38 0,0 Right -1,-1 Refer to the payoff matrix above. How many Nash Equilibriums this game has? 01 3,4