Exam 10: Game Theory: Inside Oligopoly

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A Nash equilibrium is a condition that:

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If you advertise and your rival advertises,you each will earn $3 million in profits.If neither of you advertises,you will each earn $7 million in profits.However,if one of you advertises and the other does not,the firm that advertises will earn $10 million and the non-advertising firm will earn $1 million.If you and your rival plan to hand your business down to your children,and this "bequest" goes on forever,then a Nash equilibrium when the interest rate is zero is for:

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If you advertise and your rival advertises,you each will earn $4 million in profits.If neither of you advertises,you will each earn $10 million in profits.However,if one of you advertises and the other does not,the firm that advertises will earn $1 million and the non-advertising firm will earn $5 million. Which of the following is true?

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In the game depicted below,firms 1 and 2 must independently decide whether to charge high or low prices. Firm 2 Firm 1 High Price Low Price High Price (10,10) (5,-5) Low Price (-5,5) (0,0) Which of the following are secure strategies for players 1 and 2,respectively?

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In the game depicted below,firms 1 and 2 must independently decide whether to charge high or low prices. Firm 2 Firm 1 High Price Low Price High Price (10,10) (5,-5) Low Price (-5,5) (0,0) A dominant strategy for firm 1 is:

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There are two existing firms in the market for computer chips.Firm A knows how to reduce the production costs for the chip and is considering whether to adopt the innovation or not.Innovation incurs a fixed setup cost of C,while increasing the revenue.However,once the new technology is adopted,another firm,B,can adopt it with a smaller setup cost of C/3.If A innovates and B does not,A earns $30 in revenue while B earns $10.If A innovates and B does likewise,both firms earn $20 in revenue.If neither firm innovates,both earn $10.If C = 12,which is the perfect equilibrium of the game?

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Which of the following is a valid critique of the use of game theory in economics?

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You are the manager of Copies Are Us.The only other copy store in town,the Carbon Copy,recently got bids on adding a color copier.You must decide whether to obtain a color copier,but you can base your decision on what your rival does.If your rival adds a color copier and you don't,you expect your profits to fall by $1,000 per week and its profits to rise by $1,500 per week.Conversely,if you add the color copier and your rival does not,your profits will increase by $1,500 per week and your rival's profits will fall by $1,000 per week.However,if you both do the same thing (add color copies or not),you each expect profits to stay at their current level.Show the extensive form of this game,and find the Nash equilibrium (or equilibria).Is there a subgame perfect equilibrium?

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Refer to the normal-form game of advertising shown below. Firm B Firm A Advertise Do Not Advertise Advertise \ 0,\ 0 \ 175,\ 10 Do Not Advertise \ 10,\ 175 \ 125,\ 125 Consider the advertising game in Figure 10-17.Firms A and B know the game will be played for exactly five periods.What is a Nash equilibrium to this game?

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Consider the following entry game: Here,firm B is an existing firm in the market,and firm A is a potential entrant.Firm A must decide whether to enter the market (play "enter")or stay out of the market (play "not enter").If firm A decides to enter the market,firm B must decide whether to engage in a price war (play "hard"),or not (play "soft").By playing "hard," firm B ensures that firm A makes a loss of $2 million,but firm B only makes $2 million in profits.On the other hand,if firm B plays "soft," the new entrant takes half of the market,and each firm earns profits of $4 million.If firm A stays out,it earns zero while firm B earns $8 million.Which of the following are Nash equilibrium strategies?

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Suppose that you are a manager.You are considering whether or not to monitor employees with the payoffs in the normal-form game shown below. Worker Manager Work Shirk Monitor -1,1 1,-1 Don't Monitor 1,-1 -1,1 Which of the following pairs of strategies constitutes a Nash equilibrium?

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Management and a labor union are bargaining over how much of a $50 surplus to give to the union.The $50 is divisible up to one cent.The players have one shot to reach an agreement.Management has the ability to announce what it wants first,and then the labor union can accept or reject the offer.Both players get zero if the total amounts asked for exceed $50.Which of the following is a Nash equilibrium?

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Suppose that you are a manager.You are considering whether or not to monitor employees with the payoffs in the normal-form game shown below. Worker Manager Work Shirk Monitor -1,1 1,-1 Don't Monitor 1,-1 -1,1 Management and a labor union are bargaining over how much of a $50 surplus to give to the union.The $50 is divisible up to one cent.The players have one shot to reach an agreement.Management has the ability to announce what it wants first,and then the labor union can accept or reject the offer.Both players get zero if the total amounts asked for exceed $50.Which of the following is a perfect equilibrium?

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Refer to the normal-form game of price competition shown below. Firm B Firm A C D A 0,7 5,2 B 5,1 0,8 What are the pure Nash equilibrium strategies for this game?

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If you advertise and your rival advertises,you each will earn $4 million in profits.If neither of you advertises,you will each earn $10 million in profits.However,if one of you advertises and the other does not,the firm that advertises will earn $1 million and the non-advertising firm will earn $5 million. Which of the following is true?

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The following provides information for a one-shot game. Firm B Firm A Low Price High Price Low Price (2,2) (10,-8) High Price (-8,10) (15,15) What are the Nash equilibrium strategies for this game?

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Game theory is especially useful for analysis in the following markets:

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Refer to the normal-form game of price competition in the payoff matrix below. Firm B Firm A Low Price High Price Low Price 0,0 50,-10 High Price -10,50 20,20 What is the maximum interest rate that can sustain collusion?

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A mixed strategy is a strategy that:

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The figure below presents information for a one-shot game. Firm B Firm A Low Price High Price Low Price (2,2) (10,-8) HighPrice (-8,10) (6,6) What are the Nash equilibrium strategies for firm A and B respectively?

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