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parameter x = 5
List all pure strategies for either player that are weakly dominated.
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- Consider the game in the table below. What is firm A's payoff from their best response to Firm B choosing Down? Firm A Left Straight Right Up 7,5 3,7 1,3 Firm B Middle 8,14 2,7 4,17 Down 9,13 1,3 2,16 16asapLet G₁, G₂ and G3 be the following games. Colin A Rose B A (10,3) (7,5) B (6,6) (8.4) G₁ Rose Rose Colin A B A (4,4) (3,6) B (5,3) (2,7) G3 Colin A B A (5,8) (4,2) B (9,2) (3,5) G₂ Rose and Colin play the following dynamic game with Rose moving first. In her first move, Rose has a choice of either 0 or 3. If she chooses 3, then Rose and Colin play G3 with Colin moving first. If Rose chooses 0 in her first move, then Colin can play either 1 or 2 in his first move. If he plays 1, then Rose and Colin play G₁ with Rose moving first, and if he plays 2, then Rose and Colin play G₂ with Rose moving first. Draw the game tree associated with this game, and find the backwards induction solution.
- Consider the Normal Form Game characterized in the following figure: P1 \ P2 b1 b2 b3 a1 (1,2) (0,1) (0,3) a2 (3,-1) (1,1) (-1,0) a3 (2,2) (1,-1) (3,0) a4 (-5,1) (-1,0) (-3,-2) a5 (-3,3) (3,0) (2,4) What is the set of actions of player 1? O la 1, a2, a3, a4, a5) O (b1,b2, b3} O {a2, a3, a4) O (bl, b2}W X Y Z 47, 15| 39, 41 45, 53 12, 56 In equilibrium, what is the probability that player 1 will use the pure strategy X in this game?Consider the Normal Form Game characterized in the following figure: P1 \ P2 A1 A2 A3 A4 Is the following statement True or False: Strategy (0,1,0,0) is Strictly Dominated for player 1? True B1 B2 B3 B4 (-1,1) (0,0) (1,-1) (2,0) (-2,-2) (2,7) (-1,-1) (-1,1) (5,7) (3,5) (0,0) (0,8) (0,3) (-1,-1) (10,2) (0,0) False
- Question 16 Consider the following Extended Form Game: A' (9,5) O {(A,B), (A', B')} A P2 B' 'A' O {(B,B), (A', B')} P1 (5,2) (8,5) B A (1,6) P2 B' P1 B What is the Subgame Perfect Nash Equilibrium? (6,7) O {(A,A), (A', A)),((A,B), (A', A')), ((A,A), (A', B')).((A,B), (A', B'))} O (((B,A), (A', A')).((B,B), (A', A')), ((B,A), (A', B')), ((B,B), (A', B'))}GAME Z Player A B1 A1 7, 13 A2 3,8 Player B B2 15, 10 9,16 A3 5,8 4,7 In Game Z (see table above), assuming players move simultaneously. Which of the following is true? Player A has a dominant strategy Player B has a dominant strategy Both players have dominant strategies O Neither player has a dominant strategy38. Consider the following game. There are ten churches in town: nine are Catholic and one is Eastern Orthodox. All churches conduct their divine services at 10am on Sunday morning. You and your friend, without communication, agree to meet at a church service. If you fail to meet at the same church, then you are sad and become a Doomer. What is this game's focal point? Remember that you cannot communicate about this. (A) You meet at any of the Catholic churches. (B) You meet at any of the churches – denomination does not matter. We're all the same bro. (C) You meet at the Orthodox church. (D) There is no focal point. 39. Consider a fractional-reserve banking system in which an initial deposit of $1,000 can generate up to $4,000 in money. What is the reserve ratio? (A) 4 percent. (B) 5 percent. (C) 25 percent. (D) 75 percent.
- Can you help me with the question below? What is [are] the Nash Equilibrium [Equilibria] of this game? A) (10;10) and (20;20) B) (30;30) C) (10;20) and (20;10) D) (20;20) E) (30;30)1.9. What is a mixed strategy in a normal-form game? What is a mixed-strategy Nash equilibrium in a normal-form game?Q23. At what time is the game expected to stop? 1 2 3 4 5 6 after time 6 (when there are no more moves)