Во ein g C. 190 d. 210 Inv est Do n't Diagram 1 Air bus Air bus Inv est Do n't Inv est Do n't (-25,-25) (170,0) (0,190) (0,0) Suppose that both Boeing and Airbus receive a subsidy of 20 units to invest. What is Boeing's equilibrium payoff in this game? a. -5 b. 0
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- rock paper scissors гock 0. -3 1 рарer 1. -1 scissors -1 3 0. (a) Show that xT= ( ) and yT= (3) together are not a Nash equilibrium 3 3 313 for this modified game. (b) Formulate a linear program that can be used to calculate a mixed strategy x € A(R) that maximises Rosemary's security level for this modified game. (c) Solve your linear program using the 2-phase simplex algorithm. You should use the format given in lectures. Give a mixed strategy x E A(R) that has an optimal security level for Rosemary and a mixed strategy y E A(C) that has an optimal security level for Colin.In the 3 x 3 matrix below, what is the Nash equilibrium? Р2 N S E U 6,4 7,3 5, 5 P1 H7,3 3,7 4,6 L 8,2 | 6,4 | 3, 7 Select one: a. U,E b. 8,2 О с. 5,5 O d. L,NWhat is Ann's maximin strategy? Game Bob L RAnn U 10,-1 4, 4 D 4, 1 8, -1 Select one: a.none of the other answers b.4/7 U + 3/7 D c.2/5 U+ 3/5 D d.2/7 U + 5/7 D e.3/5 U + 2/5 D
- What is the Nash Equilibria of the following game? Penalty Game Keеper L R Striker L 1,-1 -1, 1 R -1,1 3, -1 Select one: a. None of the other answers b. (1/2 L+ 1/2 R, 2/3 L+ 1/3 R) c. (1/3 L + 2/3 R, 1/2 L+ 1/2 R) d. (1/2 L+ 1/2 R, 1/2 L+ 1/2 R) e. (1/2 L+ 1/2 R, 1/3 L+ 2/3 R)Player 2 E F H A 6, 5 6, 7 9, 6 7,6 В Player 1 C 6, 7 6, 9 8, 5 9, 7 5, 8 5, 6 7,5 7,5 7,9 8, 7 11, 6 5, 6 (1) In the Unique Nash equilibrium of this game, which strategy does Player1 play? And why? (2) In the Unique Nash equilibrium of this game, which strategy does Player2 play? And why? (3) Is this game dominance solvable? And Why? (4) Does this game have at least one inadmissible Nash equilibrium? And Why?Boeing 40 Invest 25 O200 Don't Airbus Airbus Invest Don't Invest Don't (-5,-25) (170,0) (0,0) Suppose that both Boeing and Airbus receive a subsidy of 30 units to invest. What is Boeing's payoff in this game? 00 -(0,190)
- What is Ann's maximin strategy? Game Bob R Ann U 10,-1 4, 4 D 4, 1 8, -1 Select one: a. none of the other answers b. 2/5 U+ 3/5 D c. 3/5 U + 2/5 D d. 4/7 U + 3/7 D e. 2/7 U + 5/7 D2. Consider the normal form game a b с d e f 9 h A B C E F 1,0 2,1 1,0 1,1 2,2 0,1 3,2 0,1 0,0 0,1 0,10 0,3 10, 2 0,0 0,1 20,1 5,4 20,3 5,20 5,0 0,4 0,5 1,5 0, 10 1,0 4,6 15,5 4,7 5,6 10,5 100, 5 4,5 4,0 4,1 5,5 3,0 0,1 100,5 4,8 0,7 100,7 4,10 4,5 D 2,0 0,1 0,2 5,3 1, 10 1. Find all pure strategy Nash equilibria. 2. Find all strictly dominated strategies. 3. After removing all strictly dominated strategies, find all strictly dominated strategies in the game with the strategies you found in part b. eliminated. 4. Continue the process until you can no longer find any more (iteratively) undominated strategies.learn.canterbury.ac.nz Clasarsom Nov 15-ICO EUC LEARN | AKO See the game below and answer the questions 8 to 11: Player-1 C Player-2 X, Y Y Player-1 9 14 8. Player-2 16 17 16 Nash Equilibrium in this game: Select one: O a. Playert: C; Player2: X O b. Playert: C; Player2: Y Oc. Playert: L; Player2: X Od. Playert: L; Player2: Y e. None
- 3 0: she makes a pront of $9 An is ISK AVCise and aunty she makes. Let P be the probability that it rains the day of the concert. Find the number P tha makes Ann indifferent between organizing the concert in the Club or at the Park. 8. Compute the mixed strategy Nash equilibrium of the game below: Bungle F2 # Zippy E Left Right DOD F4 Up 2,-1 R I 20 F3 $ BAG 3 4 -2,0 HOT % 5 F5 Down 3,1 T 4,-2 VO MacBook Air 6 F6 Y & 7 F7 * U 8Costco Spend $1B on advertising Spend $1.5B on advertising Spend $1B on advertising $3.5B; $2.7B $4.2; $2.2B Target Spend $1.5B on advertising $3.2B; $3.4B $4B; $3BConsider the following game: Player 2 In Out Player 1 In -2,-2 2, 0 Out 0, 2 0, 0 (a) What is the Nash equilibrium of this game, or what are the Nash equilibriaof this game? (b) Does either firm have a dominate strategy (a strategy that is always abest response)? Which? (c) Suppose Player 1 could move before Player 2 and Player 2 could observe Player 1’s move. What do you think would happen?