Exam 13: Game Theory and Competitive Strategy

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Repetition of a game

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Joe's Imports is currently the only dealer for imported Sporto autos on the East Coast, but Fred's Autos may enter the import market and start selling Sporto cars in the East Coast market during the coming year. Joe's Imports can pay the Sporto manufacturer for exclusive East Coast marketing rights, which would deter the entry of Fred's Autos into the market. The payoffs from the possible actions are measured in millions of dollars per year, and the possible outcomes of the sequential entry game are summarized in the following matrix: Joe's Imports is currently the only dealer for imported Sporto autos on the East Coast, but Fred's Autos may enter the import market and start selling Sporto cars in the East Coast market during the coming year. Joe's Imports can pay the Sporto manufacturer for exclusive East Coast marketing rights, which would deter the entry of Fred's Autos into the market. The payoffs from the possible actions are measured in millions of dollars per year, and the possible outcomes of the sequential entry game are summarized in the following matrix:   What is the equilibrium outcome from this sequential entry game? What is the equilibrium outcome from this sequential entry game?

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Scenario 13.8 Consider the following game: Scenario 13.8 Consider the following game:   -In game in Scenario 13.8, -In game in Scenario 13.8,

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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 pay-offs of each firm's strategy is a function of their competitor as well. The pay-off 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 pay-offs of each firm's strategy is a function of their competitor as well. The pay-off 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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If, in the game in Scenario 13.14, R moves first, it will select

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Scenario 13.5 Consider the following game: Scenario 13.5 Consider the following game:   -Which of the following is true regarding the game in Scenario 13.5? -Which of the following is true regarding the game in Scenario 13.5?

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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 pay-offs of each firm's strategy is a function of the strategy of their competitor as well. The pay-off 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 pay-offs of each firm's strategy is a function of the strategy of their competitor as well. The pay-off 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? 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?

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

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In the game in Scenario 13.14, each firm has a strategy that would not be chosen under any circumstances. This strategy is

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Scenario 13.8 Consider the following game: Scenario 13.8 Consider the following game:   -In game in Scenario 13.8, what will occur if IVY Corp. plays a maximin strategy? -In game in Scenario 13.8, what will occur if IVY Corp. plays a maximin strategy?

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Use the following statements to answer the question: I. Consider the problem of negotiating the price of a rug that costs $100 to make. If there are two buyers (one with a maximum willingness-to-pay of $200 and one with a maximum willingness-to-pay of $250), then the situation is no longer a constant sum game. II. The likely outcome from the game described in statement I is that the second buyer will bid a price slightly above $200 to win the rug.

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Consider the Matching Pennies game: Consider the Matching Pennies game:   Suppose Player B always uses a mixed strategy with probability of 3/4 for head and 1/4 for tails. Which of the following strategies for Player A provides the highest expected payoff? Suppose Player B always uses a mixed strategy with probability of 3/4 for head and 1/4 for tails. Which of the following strategies for Player A provides the highest expected payoff?

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If, in the game in Scenario 13.14, R moves first, C will respond with

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Scenario 13.13 Consider the game below: Scenario 13.13 Consider the game below:   -Playing the game in Scenario 13.13 sequentially would -Playing the game in Scenario 13.13 sequentially would

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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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Gym X and Bodyworks are both going to open an exercise facility in the local market. Each company may decide to open a facility concentrating on cardio equipment for customers interested in mostly aerobic workouts. Another alternative for each company is to open a facility concentrating on muscle building equipment for customers interested mostly in bodybuilding workouts. The pay-off matrix for each company dependent upon their strategies and that of their competitor is given below. Gym X and Bodyworks are both going to open an exercise facility in the local market. Each company may decide to open a facility concentrating on cardio equipment for customers interested in mostly aerobic workouts. Another alternative for each company is to open a facility concentrating on muscle building equipment for customers interested mostly in bodybuilding workouts. The pay-off matrix for each company dependent upon their strategies and that of their competitor is given 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? 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?

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In the game in Scenario 13.10, there is

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Consider the Battle of the Sexes game: Consider the Battle of the Sexes game:   Suppose both players use mixed strategies for this game. Jim chooses wrestling with probability 0.9, and Joan chooses wrestling with probability 0.5. What are the expected payoffs for the players? Suppose both players use mixed strategies for this game. Jim chooses wrestling with probability 0.9, and Joan chooses wrestling with probability 0.5. What are the expected payoffs for the players?

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To deter a potential entrant, an existing firm in a market may threaten to sharply increase production so that the entrant will be left with a small share of the market. The firm can make this threat credible by limiting its own options, and possible actions of this type include:

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If the Battle of the Sexes game were played sequentially,

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