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Q, Please sold the Unique baysian Nash equilibrium and the mixed strategy nash equilibrium
p1/p2 |
u |
n |
a |
8,8 |
8,2 |
b |
0,8 |
10,10 |
c |
8,8 |
9,2 |
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- Find Nash equilibrium using cell by cell inspectionam. 116.Jagtar and Ravi both grow mangoes, which they sell in the same local market. They are deciding whether to pick 5 baskets worth of mangoes or 10 baskets, and have the following profit matrix: Jagtar 5 1 17 5 1 22 16 14 Ravi 1 24 14 a. What is the Nash equilibrium if both individuals make their decisions simultaneously? b. Does your analysis change if the local market charges a lump-sum fee of 12 to set up a stall and sell the mangoes in the space it provides? c. What would happen if the local market were instead to charge a lump-sum fee of 18?
- Consider the following simultaneous move game where player 1 has two types. Player 2 does not know if he is playing with type a player 1 or type b player 1. Player 2 C D Player 1 A 12,9 3,6 B 6,0 6,9 C D A 0,9 3,6 B 6,0 6,9 Type a Player 1 Prob = 2/3 Type b Player 1 Prob = 1/3 Find the all the possible Bayesian Nash Equilibriums (BNE) of this game.2BConsider the lollowing extensive form game. P1 P2 P2 7. 1 7. Find the Nash equilibrium Find subgame perfect Nash Equailabrium. Explain why all Nash equilibriums are not subgame perfect
- why is a nash equilibrium stableNASH EQUILIBRIUM Consider the following game in strategic form. bị b2 a1 16,12 4,20 a2 6,28 9,14 a3 8,6 12,4 1-T-0 1-T The Equilibrium Existence Theorem guarantees that this game possesses at least one Nash equilibrium of the form (7* , o*, 7*). Which values of T are part of such an equilibrium? (Mark all values for which an associated equilibrium exists.) Select one or more: 0.00 0.60 0.30 0.80 0.25 0.75 0.20 O 1.00Consider the following normal form game Player 2 L C R Player 1 U 5, 4 4,5 3,8 8,3 8,0 5,5 6,3 0,8 M D 8,8 Find all the pure strategy Nash equilibria of the game.
- Q2. For each of the following extensive form games, identify the subgame perfect Nash equilibrium. Game 5 Game 6 9. 15 10 10 Game 7 {:) 10 11 1031) Consider the following game. 1 \ 2 A B D 4,2 2,2 5,1 E 4,1 3,5 7,3 F 5,2 4,4 7,0 G 5,4 0,4 3,0 a) Given that o2 = G), 4 find BR,(02) '6' b) Find the set of rationalizable strategies profiles, R of the game. c) Find the pure strategy Nash equilibria of the game