Microeconomics (2nd Edition) (Pearson Series in Economics)
2nd Edition
ISBN: 9780134492049
Author: Daron Acemoglu, David Laibson, John List
Publisher: PEARSON
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Question
Chapter 13, Problem 4P
(a)
To determine
Existence of a dominant strategy for the players.
(b)
To determine
Nash equilibria of the asymmetric game.
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Consider the following game: Mercedes-Benz and Honda are the only two firms in the market for automobiles. Each firm has two strategies: produce high-grade vehicles or produce low-grade vehicles. The first entry in the bracket is the payoffs (in $billion) of Mercedes-Benz and the second entry is the payoffs of Honda. (see the image)
What is the dominant strategy of Mercedes-Benz and Honda? Also, what is the Nash equilibrium of this game?
Imagine that there are two snowboard manufacturers (FatSki and WideBoard) in the market. Each firm can either produce ten or twenty snowboards per day. The table below (see attached) shows the profit per snowboard for each firm that will result given the joint production decisions of these two firms.
Draw the game payoff matrix for this situation.
Does either player have a dominant strategy? If so, what is it?
What is the Nash equilibrium solution and how many boards should each player produce each day?
Since FatSki and WideBoard must play this game repeatedly (i.e. make production decisions every day), what strategy would you advise them to play in order to maximize their payoff over the long term?
In the following game, players must move simultaneously. How many Nash equilibria are there? Which will occur without collusion? Which will occur if collusion is allowed?
Firm
A
B
Firm 1
A
3,1
7,0
B
2,4
5,3
Chapter 13 Solutions
Microeconomics (2nd Edition) (Pearson Series in Economics)
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- Consider the following three-stage duopoly game. There are two firms in the market: Firm 1 and Firm 2. In the first stage, a first-price auction is conducted to determine the order of moves. The firm with the highest bid (first mover) pays a cost equivalent to its bid and chooses its action in the second stage. After observing this action, the other firm (second mover) chooses its action in the third stage. When there is a tie in the first stage (both firms submit the same bid), a coin is tossed to determine the winner, and only the winner pays its bid. Each firm has the following three possible actions: small (expansion), medium (expansion) and large (expansion), and the payoffs they obtain in the market (not the final payoffs yet) are shown below: The second mover Small Medium Large 16, 12 Medium 18, 8 19, 7 13, 10 14, 11 Small 9, 9 10, 13 12, 10 The first mover Large 14, 12 The final payoff is equivalent to the payoff obtained in the market minus the cost (if any) paid in auction.…arrow_forwardSuppose two firms (A and B) are competing in price. Each firm can charge either High or Low price and the payoffs (profit or loss) from these strategies are presented below: Firm B High 50, -40 10, 10 Low Firm A Low 0,0 High -40, 50 a. Find all pure strategy Nash equilibria b. If this game is played ten times by these two firms, find all pure strategy Nash equilibria c. Suppose this game is played infinitely and these firms agreed to charge high price in order to earn profits of Gh10 each but a firm will charge low price if its rival cheats. Find the a discount rate that will cause a firm to cheat d. Suppose the discount rate is 40% will the collusion strategies constitute a Nash Equilibriumarrow_forwardLet’s say there are two friends, Adam and Jason who each has two strategies: Share and don’t share notes to classmates a night before final exam. The payoff for each of them is in the above payoff matrix. a) Do you think this game has a dominated strategy equilibrium? Is it a stable equilibrium? Justify your answer. b) Is it worth for both of them to end up sharing notes to others a night before final exam? Justify your answer.arrow_forward
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