Exam 13: Game Theory and Competitive Strategy

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What is true about threats in the game in Scenario 13.15?

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In the game in Scenario 13.10, there is:

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Two firms in a local market compete in the manufacture of cyberwidgets. Each firm must decide if they will engage in product research to innovate their version of the cyberwidget. The payoffs of each firm's strategy are a function of the strategy of their competitor as well. The payoff matrix is presented below. Two firms in a local market compete in the manufacture of cyberwidgets. Each firm must decide if they will engage in product research to innovate their version of the cyberwidget. The payoffs of each firm's strategy are a function of the strategy of their competitor as well. The payoff matrix is presented below.   Firm #2 chooses to innovate with probability 20/21. If Firm #1 does the same, what is the expected payoff? Is this a Mixed Strategy Nash Equilibrium? Suppose, instead, that firm #2 innovates with probability 2/3. Should player #1 always innovate? Firm #2 chooses to innovate with probability 20/21. If Firm #1 does the same, what is the expected payoff? Is this a Mixed Strategy Nash Equilibrium? Suppose, instead, that firm #2 innovates with probability 2/3. Should player #1 always innovate?

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If firm #1 does the same, the expected payoffs for both firms are zero. This is a Mixed Strategy Nash Equilibrium. If Firm #2 chooses to innovate with probability 2/3, Firm #1 should always innovate. This is because the expected profits are as high as possible when firm #1 sets the probability of choosing to innovate equal to 1.

Consider the Matching Pennies game: Consider the Matching Pennies game:   Suppose Player A always uses a pure strategy that selects heads. What is Player B's optimal response to this pure strategy? Suppose Player A always uses a pure strategy that selects heads. What is Player B's optimal response to this pure strategy?

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Why does cooperative behavior break down in games with finite endpoints?

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Two firms in a local market compete in the manufacture of cyberwidgets. Each firm must decide if they will offer a warranty or not. The payoffs of each firm's strategy are a function of their competitor as well. The payoff matrix is presented below. Two firms in a local market compete in the manufacture of cyberwidgets. Each firm must decide if they will offer a warranty or not. The payoffs of each firm's strategy are a function of their competitor as well. The payoff matrix is presented below.   Does either player have a dominant strategy? Does the game have any Nash equilibria? What is the maximin strategy of each player in the game? Should the players use a mixed strategy? Does either player have a dominant strategy? Does the game have any Nash equilibria? What is the maximin strategy of each player in the game? Should the players use a mixed strategy?

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Scenario 13.3 Consider the following game: Scenario 13.3 Consider the following game:   -In the game in Scenario 13.3, the equilibrium outcome: -In the game in Scenario 13.3, the equilibrium outcome:

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In the game in Scenario 13.11, equilibrium is:

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If Boring were able to move first in a sequential version of the game in Scenario 13.15, the equilibrium would be:

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The countries Economus and Sociolomous on planet Subjectus are engaged in a Cold War. The payoffs of their available strategies are presented in the table below. The countries Economus and Sociolomous on planet Subjectus are engaged in a Cold War. The payoffs of their available strategies are presented in the table below.   The payoffs are listed in terms of percentage growth in the standard of living of the two countries. Does either country have a dominant strategy? Does the game have a Nash equilibrium? What is the maximin strategy of each player in the game? The payoffs are listed in terms of percentage growth in the standard of living of the two countries. Does either country have a dominant strategy? Does the game have a Nash equilibrium? What is the maximin strategy of each player in the game?

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Scenario 13.6 Consider the following game. Payoffs are in millions of dollars. Scenario 13.6 Consider the following game. Payoffs are in millions of dollars.   -In the game in Scenario 13.6, -In the game in Scenario 13.6,

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La Tortilla is the only producer of tortillas in Santa Teresa. The firm produces 10,000 tortillas each day and has the capacity to increase production to 100,000 tortillas each day. La Tortilla has made a large profit for years, but no other firm has chosen to compete in the Santa Teresa tortilla market. La Tortilla has been able to deter entry because if other firms were to enter the market it would greatly step-up production and reduce price.

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You are playing a game in which a dollar bill is auctioned. The highest bidder receives the dollar in return for the amount bid. However, the second-highest bidder must pay the amount that he or she bids, and gets nothing in return. The optimal strategy is:

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Megan and Amanda are both 7 years old and operate lemonade stands. Megan lives on the east side of Welch Avenue while Amanda resides on the west side of Welch Avenue. Each morning, the girls must decide whether to place their stand on Welch Avenue or Lincoln Avenue. When they set their stand-up, they don't know what the other will do and can't relocate. If both girls put their stand on Welch, both girls receive $175 in profits. If both girls put their stand on Lincoln, they each receive $75 in profits. If one girl sets their stand on Welch while the other operates on Lincoln, the stand on Welch earns $300 in profits while the stand on Lincoln earns $225. Diagram the relevant payoff matrix. Does either girl have a dominant strategy? Does the game have a Nash equilibrium? What is the maximin strategy of each player in the game?

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Scenario 13.2 Consider the following game: Scenario 13.2 Consider the following game:   -In the game in Scenario 13.2, the equilibrium strategies: -In the game in Scenario 13.2, the equilibrium strategies:

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Consider the following game in which two firms decide how much of a homogeneous good to produce. The annual profit payoffs for each firm are stated in the cell of the game matrix, and Firm A's payoffs appear first in the payoff pairs: Consider the following game in which two firms decide how much of a homogeneous good to produce. The annual profit payoffs for each firm are stated in the cell of the game matrix, and Firm A's payoffs appear first in the payoff pairs:   What are the dominant strategies in this game? What are the dominant strategies in this game?

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A "sequential game" is:

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Which of the following situations is likely to generate noncooperative behavior in repeated games?

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Scenario 13.10 Consider the game below: Scenario 13.10 Consider the game below:   -The game in Scenario 13.10 is: -The game in Scenario 13.10 is:

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Relative to a simultaneous-move situation, the gain to firm R from being able to move first in the game in Scenario 13.14, would be:

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