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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Students have asked these similar questions
Use the following payoff matrix to answer the following questions Suppose this is a one-shot game: a. Determine the dominant strategy for each player. If such strategies do not exist, explain why not. b. Determine the secure strategy for each player. If such strategies do not exist, explain why not. c. Determine the Nash equilibrium of this game. If such an equilibrium does not exist, explain why not.
Using a payoff matrix to determine the equilibrium outcome
Suppose there are only two firms that sell smart phones, Flashfone and Pictech. The following payoff matrix shows the profit (in millions of dollars) each company will earn, depending on whether it sets a high or low price for its phones.
Pictech Pricing
High
Low
Flashfone Pricing
High
11, 11
2, 18
Low
18, 2
10, 10
For example, the lower, left cell shows that if Flashfone prices low and Pictech prices high, Flashfone will earn a profit of $18 million and Pictech will earn a profit of $2 million. Assume this is a simultaneous game and that Flashfone and Pictech are both profit-maximizing firms.
If Flashfone prices high, Pictech will make more profit if it chooses a ______ price, and if Flashfone prices low, Pictech will make more profit if it chooses a _____ price.
If Pictech prices high, Flashfone will make more profit if it chooses a _____ price, and if Pictech prices low, Flashfone will make more…
Two firms, X and Y, are planning to market their new products. Each firm can develop TV, Laptop. Market research indicates that the resulting profits to each firm for the alternative strategies are given by the following payoff matrix : MATRIX IS ATTACHED
Find the Nash equilibria for this game, assuming that both firms make their decisions at the same time. (explain the decision step by step)
If each firm is risk averse and uses a maximin strategy, what will be the resulting equilibrium? (explain the decision step by step)
What will be the equilibrium if Firm X makes its selection first? If Firm Y goes first?
Knowledge Booster
Similar questions
- We have two cable TV companies, Astounding Cable and Broadcast Cable, each simultaneously deciding on a high, medium, or low advertising budget. Their payoffs (in millions) are as follows in the image. True or false? (i) Astounding should play High if Broadcast plays Medium. (ii) This game has a dominant strategies equilibrium. (iii) Astounding playing Medium and Broadcast playing High is a Nash equilibrium.arrow_forwardTwo firms A and B produce a product jointly. The total value to the two firms from the joint venture is given by V = √iA + √iB where iA and iB are the firms’ respective investment levels. After the investment levels have been chosen, the firms divide V equally. a) Find the Nash equilibrium investment levels, and the payoffs for each firm. b) Suppose that A and B merge. Find the optimal investment levels and the payoffs for the merged firm. Do the firms benefit from the merger? Why?arrow_forward
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