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![What is the value of the game for the given payoff matrix:
a) 3
b) -5
c) 2
d) 5
Individual A
I
II
Individual B
II
3
5
I
2
-5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe75f6c97-b7a3-4eb0-9894-1724e32b9d95%2F3b793b6e-f3d9-422c-99be-2182bb9a84f8%2F8pbtfykh_processed.jpeg&w=3840&q=75)
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- Two players play the following game for infinite times. For the player to continue to cooperate what would be the ranges of their discount factor, δ_1 and δ_2, respectively? cooperate betray cooperate (10,20) (-25,30) betray (15, -22) (-12, -18)What is the payoff for both players in the SPNE of this game?-(2,5)-(3,4)- (2,2)- (5,1)- (1,7)Suppose 2 players play the following game infinite times in the future. What should be the minimum value of the time discount so that the equilibrium strategy is (Cooperate, Cooperate)? Player 2 Player 1 Cooperate Defect Cooperate (10, 10) Defect (2, 12) (4,4) (12, 2)
- P1 P1 P2 P2 F F Y 3, 4 0,3 0,3 2,5 3,6 5, 2 Which of the following is a subgame perfect equilibrium of this game? (RDJ,FQY) (RMU,ZTH) (LDU,ZQY) (RDU,ZTY) O (LMJ,ZTY) (RMU,FTH)In this game, (80, 50) 52% a) (R, N) b) (R, R) c) (S, N) d) (R, P) S is a Nash equilibrium First Player (20,68) 12% R P Second Player N (90,70) 36%し(5,3) b I(2,2) も(0,0) (4,12) a (12.4) (0,0) i). List all subgame pertect Nash equilibria and name one Nash eqvilibrivm that is not subgame pertect i). How many strategies does playot and player 2 have?
- Consider the following extensive-form game. U D A B A B -6,6 X Y X Y P 3,8 -8, 1 1,2 -2, 1 5,5 -0,0 The dashed lines represent information sets. (a) Represent this game in normal-form. (b) Derive the Nash equilibria in pure strategies. (c) Describe the (proper) subgames of this game. (d) Derive the subgame perfect Nash equilibria in pure strategies.please solve it in 30 minute please Consider an infinitely repeated game where the stage game is the game of chicken: Swerve Straight Swerve 0,0 -1,1 Straight 1, –1 -10, -10 Assume that the discount factor is very close to one. For concreteness, you can assume that d = 0.99. (a) Is there an SPE in which player l's payoff is 1/(1 – 6)? Explain. (b) Is there an SPE in which each player gets a payoff of 0? Explain. (c) Is there an SPE in which player l's payoff is -2/(1 – 8)? Explain.Please no written by hand and no emage Two classmates A and B are assigned a group project. Each student can choose to Shirk or Work. If one or more students chooses Work, the project is completed and provides each with credit valued at 4 payoff units each. The cost of completing the project is that 6 total units of effort (measured in payoff units) is divided equally among all players who choose to Work and this is subtracted from their payoff. If both Shirk, they do not have to expend any effort but the project is not completed, giving each a payoff of 0. The instructor can only tell whether the project is completed and cannot determine which students contributed to the project. A. Write down (draw) the normal form game, with payoff in the format of (player A payoff, player B payoff). Note that we assume students choose to Shirk or Work simultaneously. B. Does either player have a dominant strategy? C. Find the Nash equilibrium or equilibria. D. Explain ‘Prisoners’ dilemma’ using the…
- In this extensive form game, if player B is a robot uses a mixed strategy where it picks L 50% of the time and R 50% of the time. If player A chooses the action that maximizes her expected payoff, the expected payoff will be 4 07 5.5 6.5 B kw (5/1) (1,9) (48) (7.10)The decision tree below describes the game faced by firm H and firm T. The payoffs are profits in million of US$. The complete plan of action for this game is: H={BL}, T={BL if BL, NB if BS, BL if NB} H={BS}, T={BS if BL, BS if BS, BL if NB} H={BS}, T={BS and NB} H={BL}, T={BS if BL, BS if BS, BL if NB} H={BS}, T={BL if BL, NB if BS, BL if NB}A clothing manutacturer must decide which of two clothing lines to emphasze for the spring season, her usual line or a budget line Her success with each line depends on the sta Budget Line Usual Line Strong Economy 15,000 35,000 In-between Economy 18,000 28,000 Weak Economy 27,000 10,000 Economists believe that there is a 5% chance of a strong economy next year, a 75% chance of a weak economy, and a 20% chance of an in-between economy Use the payoff m O A. Emphasize the usual line O B. Wait and see O C. Emphasize the budget line
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