16. Consider a game with two players, each with three strategies. Given the payoff matrix showm below, determine which pair of strategies is a Nash equilibrium.
16. Consider a game with two players, each with three strategies. Given the payoff matrix showm below, determine which pair of strategies is a Nash equilibrium.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:(b) X, Y'
(с) Y, X'
(а) Y, Y'
(e) Y, Z'

Transcribed Image Text:16. Consider a game with two players, each with three strategies. Given the payoff
matrix shown below, determine which pair of strategies is a Nash equilibrium.
Player One
X
Y
1
3.
X'
3
1
4
Player Two
Y
5
0.
3
Z'
4
(a) X, X'
21
1.
Expert Solution

Step 1
Nash Equilibrium is a stable equilibrium state which is achieved by the interaction between different players such that no single player has an incentive to diverge from this state as their best responses get matched. It gives the optimal outcome of the game.
The following matrix represents the strategies and the corresponding pay-offs of both the players.
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