Consider the payoff matrix for a game depicted below. Player 1 selects the row and Player 2 selects the column.     Up   Down Left   1, -1   -1, 1 Right   -1, 1   1, -1 What is (are) the Nash equilibrium (equilibria)? Question 18Answer a. Player 1 plays right; Player 2 plays down b. Player 1 plays left; Player 2 plays down c. Player 1 plays down; Player 2 plays left d. Player 1 plays right; Player 2 plays up e. Player 1 plays up; Player 2 plays left f. There is no Nash equilibrium g. Player 1 plays down; Player 2 plays right h. Player 1 plays up; Player 2 plays right i. Player 1 plays left; Player 2 plays up

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.1P
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Consider the payoff matrix for a game depicted below. Player 1 selects the row and Player 2 selects the column.

    Up   Down
Left   1, -1   -1, 1
Right   -1, 1   1, -1

What is (are) the Nash equilibrium (equilibria)?

Question 18Answer

a.

Player 1 plays right; Player 2 plays down

b.

Player 1 plays left; Player 2 plays down

c.

Player 1 plays down; Player 2 plays left

d.

Player 1 plays right; Player 2 plays up

e.

Player 1 plays up; Player 2 plays left

f.

There is no Nash equilibrium

g.

Player 1 plays down; Player 2 plays right

h.

Player 1 plays up; Player 2 plays right

i.

Player 1 plays left; Player 2 plays up

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