Exploring Economics
8th Edition
ISBN: 9781544336329
Author: Robert L. Sexton
Publisher: SAGE Publications, Inc
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Question
Chapter 15, Problem 17P
To determine
(a)
To find:
Whether there is a dominant strategy.
To determine
(b)
To explain:
The dominant strategy to be followed and the way a strategy can be known.
To determine
(c)
To find:
Whether there is a Nash equilibrium and the way it is known.
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Use the following payoff matrix to answer the questions below.
Cooperate
Defect
1
Cooperate
100, 100
40, 125
Defect
125, 40
50, 50
Which player (if any) has a Dominant Strategy?
[ Select ]
What is the Nash Equilibrium of this game? [ Select ]
Does this game satisfy the definition of a prisoner's dilemma? [ Select ]
Refer to the accompanying payoff matrix. Which of the following is a Nash
equilibrium?
Company
A
Strategy 1
Strategy 2
Strategy 1
Company A's
Profit: $8 million
Company B's
Profit: $9 million
Company B
Company A's
Profit: $10 million
Company B's
Profit: $8 million
None of the above,
Strategy 2
Company B's
Profit: $8 million
Company A's
Profit: $7 million
Company B's
Profit: $7 million
Company A's
Profit: $8 million
Company A chooses Strategy 1 and Company B chooses Strategy 1.
Company A chooses Strategy 2 and Company B chooses Strategy 2.
Company A chooses Strategy 1 and Company B chooses Strategy 2.
Company A chooses Strategy 2 and Company B chooses Strategy 1.
Consider the following hypothetical case. Only BMW and a competitor, Mazda, are considering launching a new, niche HPC in the Asian market. The issue is what price to charge. Both new cars are very similar in performance and production cost. Analyse the interaction between the two firms using game theory. Present a payoff matrix to model the situation and analyse it for Nash equilibrium. What can either of these firms do to make their best, most-preferred outcome more likely?
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