Exam 15: Introduction to Game Theory

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A player that makes a move first:

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The following mathematical properties should characterize the payoff functions:

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A game with a mixed strategy Nash equilibrium:

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Present a real life example that can be understood better if modeled as a prisoner's dilemma.

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In which of the following would we expect that there is no dominant strategy?

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Firms Alba Inc. and Bute Inc. are duopolists selling firecrackers. Each of them has the option to charge high prices or low prices. Alba was longer in the business and its cost structure allows for higher profits. Also, Alba enjoys a strong reputation among customers and is able to charge higher prices. For the strategy combination (high, high)the payoff is (200,120), where the first position refers to Alba, and the second to Bute. Similarly, for (high, low)the payoff is (100,150), for (low, high)the payoff is (50, 0), while for (low, low)is (50, 25). a)What is the dominant strategy for each firm? b)Find the Nash equilibrium. c)Can Alba induce Bute to charge a high price by threatening to charge a low price otherwise?

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Consider the classic prisoner's dilemma problem where both players get a payoff of - 1 if they're silent, both get a payoff of - 6 if they fink, and if only one finks that person receives the payoff of zero and the one that remains silent gets a payoff of - 9. When the two prisoners are kept separated the Nash equilibrium is for both to think. Does the Nash equilibrium change if the prisoners are permitted to discuss their choice in advance but are still required to plead separately?

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If voting is costly yet it has no intrinsic value, voting in an election:

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Once the state environmental protection agency devises its new policy to protect the environment, firms decide whether to remain in the state or move their operations to a neighboring state. In the language of game theory, this is an example of:

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The prisoner's dilemma game:

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Which of the following is true?

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Choosing a mixed strategy entails:

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One possible explanation for low voter turnouts during elections is

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In numerous business courses, but very few economics courses, there are group projects. The Nash equilibrium for group projects is

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Battle of the sexes is a:

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The Nash equilibrium in a game of plain complements with simultaneous moves:

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The essence of game theory as used in economics:

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The Nash equilibrium in a prisoner's dilemma game:

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A one shot game in a prisoner's dilemma game:

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In the case of the team production, the best response functions:

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