There is no dominant strategy for any firm.
Row wise: : Reaction of Column
Adopts the A : Z
B : X
C : Y
Column Wise : Reaction of Row
X : C
Y : B
Z : C
There is no common strategies, thus there is no Nash Equilibrium.
Find all Nash equilibria of the following game. X Y Z A | 2,2 4,0 1,3...
Find all mixed strategy Nash Equilibria of the following game: X Y Z A 2,2 4,0 1,3 B 1,3 6,0 1,0 C 3,1 3,3 2,2
i K + A B C D W 2,2 5,0 3,6 4,1 X 1,3 2,2 4,5 1,2 Y 3,1 1,1 5,3 6,0 27 DETE 1. (5 points) Find all strictly dominated strategies in this game. 2. (10 points) Find the set of rationalizable strategies for each player. 3. (10 points) Find all the Nash equilibria..
Find the Nash equilibria of the games. X Y X Y Z 0,4 U 2,0 1,1 3,3 3,3 M 3,4 1,2 2,3 | 0,2 3,0 (b) Y Z 5,1 0,2 U 8,6 8,2 M 0,1 4,6 6,0 M 1,0 2,6 5,1 2,1 3,5 2,8 2,8 0,8 4,4 ั 0,0 8,10 4,1 3,10 4,1 B 0,0 3,3 6,4 8,5 6,4 8,5
Please find all the pure strategy Nash Equilibria of the following game? thank you IR 2,3 1,3 5,1 2,3 2,4 6,0 1,2 0,5 1,5 M B
2. Write the game below in normal form and find all Nash equilibria. a b 16,-10 4,0 + P1 a b 10,6 2,2 posle Z Nature of P2 a 0,2 p= 14 la
Find all the Nash equilibria in the following game and indicate which are strict. Player 2 d b a -1,4 1,-3 2,7 W 2,7 Player 1 2.1 0,4 1, 3 1, 2 Y -1,6 6,2 3.2 1,1 Z 7,1 5.2 0.2 3,1 O (Wa) and (W,c). Neither are strict. O (W,c) and (Z,b). Both are strict O (Wc) and (Z,b). Neither are strict. O There are no Nash equilibria in this game.
2. Find all Nash equilibria (including MSNE) in the following game. Player 2 M Actions L R Player 1,3 2,-2 3,1 1,4 5,0 (Hint: first, show that some action is strictly dominated. Then, find all MSNE in the reduced game).
3. Consider the following game in normal form. Player 1 is the "row" player with strate- gies a, b, c, d and Player 2 is the "column" player with strategies w, x, y, z. The game is presented in the following matrix: W Z X y a 3,3 2,1 0,2 2,1 b 1,1 1,2 1,0 1,4 0,0 1,0 3,2 1,1 d 0,0 0,5 0,2 3,1 ั Find all the Nash equilibria in the game in pure strategies.
Find all pure strategy Nash Equilibria in the following games a.) Player 2 b1 b2 b3 a1 1,3 2,2 1,2 a2 2,3 2,3 2,1 a3 1,1 1,2 3,2 a4 1,2 3,1 2,3 Player 1 b.) Player 2 A B C D A 1,3 3,1 0,2 1,1 B 1,2 1,2 2,3 1,1 C 3,2 2,1 1,3 0,3 D 2,0 3,0 1,1 2,2 Player 1 c.) Player 2 S B S 3,2 1,1 B 0,0 2,3
1. Consider the following game in normal form. Player 1 is the "row" player with strate- gies a, b, c, d and Player 2 is the "column" player with strategies w, x, y, 2. The game is presented in the following matrix: a b c d w 3,3 1,1 0,0 0,0 x 2,1 1,2 1,0 0,5 y 0,2 1,0 3, 2 0,2 z 2,1 1,4 1,1 3,1 (a) Find the set of rationalizable strategies. (b) Find the set of Nash...