Exam 15: Introduction to Game Theory

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The analysis of games of plain substitutes and complements:

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D

In the game of PUT (P)and KEEP (K)each child was given nine dollars and, if they chose to put it back, six dollars was added to the nine and the two children shared the total pot of money. What is the dominant strategy?

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Often, oligopolists act without the benefit of communication. As a result they choose strategies that lead to lower profits than what could have been achieved with cooperation. This situation is known as:

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Team production is an example of:

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In the 1983 MGM movie Wargames, starring Matthew Broderick and Ally Sheedy, a supercomputer is programmed to simulate global thermonuclear war. Using game theory predict the dominant strategy determined by the computer.

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The best response function is:

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In a game of plain complements:

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A dominant strategy is one that:

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Provide one example for each of the following: 1)a game of plain substitutes, 2)a game of plain complements, 3)a game of discoordination

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A Nash equilibrium occurs when:

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Two athletes contemplating the simultaneous use of performance enhancing drugs:

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Fergie and Abdul were caught by the police in the vicinity of a robbery site. The police have a strong feeling the two individuals are the actual robbers, but they do not have a way to prove it yet. In the absence of hard evidence, the prosecutor can convict them of only a minor offence, with only a year in prison. The police put the two in separate rooms and try to offer them incentives to confess: if one of the robbers does so, he would go scot- free while the other goes to prison for 10 years. If both confess the prosecutor will be able to put both in prison for 5 years. As a result, each partner in crime has two options: to confess or to remain silent. Note: here payoffs are in years of prison, so less is better. a)Represent this game in normal form. Are there dominant strategies for these robbers? b)What s the Nash equilibrium of this game? c)How is this game called? d)What exactly is the dilemma that the two robbers have? Is there a way to get around this problem

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All but which of the following constitutes a Nash equilibrium?

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A coordination game:

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Competitive equilibrium and Nash equilibrium:

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In a game of plain substitutes with simultaneous moves, the lens of missed opportunity is:

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Subgame perfection

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Which of the following is true?

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In a game of plain substitutes:

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The strategies are ranked by each player according to the:

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