4. Consider the following two-player simultaneous-move game. Player A chooses either 'up' (u) or 'down' (d). Player B chooses either 'left' (1) or 'right’ (r). The table provided below gives the payoffs to player A and B given any set of choices, where player A's payoff is the first number. There are payoffs provided for three versions of this simple game. Game 1 Game 2 Game 3 u, l 1,1 5,0 0,5 4, 4 1,5 10, 10 2, 2 5, 1 3, 7 8, 2 9, 1 5, 6 и, г d, l d, r (a) For each of the three games, express the payoff information in the normal form (payoff matrix). (b) For each of the three games, determine the pure strategy Nash equilibria.
4. Consider the following two-player simultaneous-move game. Player A chooses either 'up' (u) or 'down' (d). Player B chooses either 'left' (1) or 'right’ (r). The table provided below gives the payoffs to player A and B given any set of choices, where player A's payoff is the first number. There are payoffs provided for three versions of this simple game. Game 1 Game 2 Game 3 u, l 1,1 5,0 0,5 4, 4 1,5 10, 10 2, 2 5, 1 3, 7 8, 2 9, 1 5, 6 и, г d, l d, r (a) For each of the three games, express the payoff information in the normal form (payoff matrix). (b) For each of the three games, determine the pure strategy Nash equilibria.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:4.
Consider the following two-player simultaneous-move game. Player A chooses
either 'up' (u) or 'down' (d). Player B chooses either 'left' (1) or ʼright’ (r). The table
provided below gives the payoffs to player A and B given any set of choices, where
player A's payoff is the first number. There are payoffs provided for three versions of
this simple game.
Game 1 Game 2 Game 3
и, 1
1,1
5,0
0,5
4, 4
1,5
10, 10
2, 2
5, 1
3, 7
8, 2
9, 1
5, 6
и, г
d, l
d, r
(a) For each of the three games, express the payoff information in the normal form (payoff
matrix).
(b) For each of the three games, determine the pure strategy Nash equilibria.
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