Exam 13: Game Theory

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  -The above figure shows the payoff matrix facing an incumbent firm and a potential entrant.Assuming a fixed cost of entry,the outcome will be that the incumbent -The above figure shows the payoff matrix facing an incumbent firm and a potential entrant.Assuming a fixed cost of entry,the outcome will be that the incumbent

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A

For the following, please answer "True" or "False" and explain why. -A Nash equilibrium will always provide both players with their highest payoffs possible.

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The following is a simplified duopoly model of competition between two firms.Firms simultaneously choose the quantity of outputs to produce,and then profits are realized.Each firm is restricted to producing 25,35,50 or 100 units of output.The details of how the payoffs are derived are unimportant because payoffs are all given in the table below. Firm 2 The following is a simplified duopoly model of competition between two firms.Firms simultaneously choose the quantity of outputs to produce,and then profits are realized.Each firm is restricted to producing 25,35,50 or 100 units of output.The details of how the payoffs are derived are unimportant because payoffs are all given in the table below. Firm 2     Find the Nash equilibrium(s)in the game. Find the Nash equilibrium(s)in the game.

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(35,35)

A single-period duopoly firm can choose output level A or B.The firm decides it will produce level A regardless of what the other firm produces.This decision may occur because

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The "Normal-Form" of a game is a description including

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  -The above figure shows a payoff matrix for two firms,A and B,that must choose between selling basic computers or advanced computers.How many Nash equilibria are there? -The above figure shows a payoff matrix for two firms,A and B,that must choose between selling basic computers or advanced computers.How many Nash equilibria are there?

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Consider the game below: Consider the game below:     a.Use backward induction to find the subgame perfect Nash equilibrium to the game. b.Model the game with a strategic grid.Find all Nash Equilibrium to the normal-form game.Why is your answer different than in (a)? a.Use backward induction to find the subgame perfect Nash equilibrium to the game. b.Model the game with a strategic grid.Find all Nash Equilibrium to the normal-form game.Why is your answer different than in (a)?

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  -The above figure shows the payoff matrix for two firms,A and B,choosing to produce a basic computer or an advanced computer.How many pure-strategy Nash equilibria are in this game? -The above figure shows the payoff matrix for two firms,A and B,choosing to produce a basic computer or an advanced computer.How many pure-strategy Nash equilibria are in this game?

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Explain why to some game theorists,the idea of mixed strategies is appealing,and to others it is implausible.

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Chess is an example of a

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If only one firm operates in a market,and a potential entrant is blockaded from entering the market,then the incumbent firm must

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Collusion is more likely to occur when

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  -The above figure shows the payoff matrix facing an incumbent firm and a potential entrant.If the fixed cost of entry were to increase,which of the following would occur? -The above figure shows the payoff matrix facing an incumbent firm and a potential entrant.If the fixed cost of entry were to increase,which of the following would occur?

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For the following, please answer "True" or "False" and explain why. -In Dutch or first-price sealed-bid auctions,participants will bid less than their highest valuation.

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Consider the following game: Consider the following game:     a.Does either player have a dominant strategy? Explain. b.Use the process of iterated elimination of dominated strategies to reduce the possible outcomes for the game. c.Find all pure Nash Equilibrium(s). a.Does either player have a dominant strategy? Explain. b.Use the process of iterated elimination of dominated strategies to reduce the possible outcomes for the game. c.Find all pure Nash Equilibrium(s).

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  -The above figure shows a payoff matrix for two firms,A and B,that must choose between a high-price strategy and a low-price strategy.The Nash equilibrium in this game -The above figure shows a payoff matrix for two firms,A and B,that must choose between a high-price strategy and a low-price strategy.The Nash equilibrium in this game

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  -The above figure shows the payoff matrix for two firms,A and B,selecting an advertising budget.The firms must choose between a high advertising budget and a low advertising budget.Firm A's dominant strategy -The above figure shows the payoff matrix for two firms,A and B,selecting an advertising budget.The firms must choose between a high advertising budget and a low advertising budget.Firm A's dominant strategy

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   a.Suppose c = 0.Find any (pure strategy)Nash Equilibrium. b.Suppose c = 2.Find any (pure strategy)Nash Equilibrium. a.Suppose c = 0.Find any (pure strategy)Nash Equilibrium. b.Suppose c = 2.Find any (pure strategy)Nash Equilibrium.

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How can a firm be made better off by limiting its options?

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What aspects of a game are specified by "the rules of the game"?

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