Find all the Nash equilibria in the following game and indicate which are strict. Player 2...
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 с Find all the Nash equilibria in the game in pure strategies.
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...
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).
Determine ALL of the Nash equilibria (pure-strategy and mixed-strategy equilibria) of the following 3 games: Player 1 H T Player 2 HT (1, -1) (-1,1) | (-1,1) (1, -1) | Н Player 1 H D Player 2 D (2, 2) (3,1) | (3,1) |(2,2) | Player 2 A (2, 2) (0,0) Player 1 A B B (0,0) | (3,4)
1. Find all Nash equilibria of the following game Player 2 Right Left Up 1,4 5,-3 layer 1 Down 2,2 3,1 2. What is a regression? Provide an example of how a regression might be used in the sports world. Explain the difference between correlation and causation. Provide an example of two variables that are correlated, but do not have a causal relationship. 3.
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
Find all Nash equilibria of the following game. X Y Z A | 2,2 4,0 1,3 B 1,3 6,0 1,0 0 3,1 3,3 2,2
Problem 10 Find all pure-strategy Nash Equilibria of the three-player game below. Notice that player 3 has four strategies from which to select, represented by the four matrices. Matrix W Matrix X Matrix Y Matrix Z = 5.5" LR LR LR 1,0,3 A B 1,0,3 2,2,2 1,0,3 0,0,1 A B 1,0,3 1,0,3 2,2,2 0,3,3 A B 1,0,2 1,0,2 2,2,2 0,0,1 A B 1,0,2 1,0,2 2,2,2 0,3,3
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
4. Find all pure-strategy and mixed-strategy Nash equilibria of the following two-player simultaneous-move games. Player B LeftRight 6,5 2,1 Up 0,1 Player A 6,11 Down Player B LeftRight 1,4 0,16 2,13 4,3 Up Player A Down 4. Find all pure-strategy and mixed-strategy Nash equilibria of the following two-player simultaneous-move games. Player B LeftRight 6,5 2,1 Up 0,1 Player A 6,11 Down Player B LeftRight 1,4 0,16 2,13 4,3 Up Player A Down