Exam 13: Game Theory and Competitive Strategy

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If both players in a game have dominant strategies, we say that the game has:

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Dale and Terry are racing automobiles around a track. Currently, Terry is in the lead. However, Dale has a faster car and is just behind Terry. The racers' strategies and pay-offs are presented in the table below. Dale and Terry are racing automobiles around a track. Currently, Terry is in the lead. However, Dale has a faster car and is just behind Terry. The racers' strategies and pay-offs are presented in the table below.    Does either player have a dominant strategy? Does the game have a Nash equilibrium? What is the maximin strategy of each player in the game? Does either player 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, what is the Nash equilibrium? -In the game in Scenario 13.6, what is the Nash equilibrium?

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In the game in Scenario 13.5,

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An oligopolistic situation involving the possible creation of barriers to entry would probably best be modeled by a

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For infinitely repeated games in which the players follow a tit-for-tat strategy, which one of the following outcomes is NOT possible?

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Scenario 13.16 Consider the pricing game below: Scenario 13.16 Consider the pricing game below:   -Refer to Scenario 13.16. If Gooi can move first, and Ici wants to realize the ($150, $300) payoff, -Refer to Scenario 13.16. If Gooi can move first, and Ici wants to realize the ($150, $300) payoff,

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Scenario 13.12 Consider the game below: Scenario 13.12 Consider the game below:   -Playing the game in Scenario 13.12 by using a maximin strategy would -Playing the game in Scenario 13.12 by using a maximin strategy would

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G.C. Donovan Company is a large pharmaceutical company located in the U.S., but with worldwide sales. Donovan has recently developed two new medications that have been licensed for sale in European Union countries. One medication is an over-the-counter cold preparation that effectively eliminates all cold symptoms, while the other is an antibiotic that is effective against drug resistant bacteria. A European firm, Demtech Limited, has developed drugs that are similar to Donovan's and will be ready for the European market at approximately the same time. Liability concerns make it unlikely that either firm will choose to market both new drugs at this time. Both firms do plan to market one of the drugs this year. Donovan's managers consider their own lack of reputation among European physicians to be an important obstacle in the antibiotic market. Consequently, Donovan feels more comfortable marketing the cold preparation. Demtech, on the other hand, has an excellent reputation among physicians but little experience in over-the-counter drugs so that Demtech's competitive advantage is with the antibiotic. Should Demtech choose to market the cold remedy, it believes that its sales will increase if Donovan also enters the cold remedy market and advertises heavily. Similarly, Donovan anticipates that its sales in the antibiotic market would be enhanced if Demtech produces antibiotics, given Demtech's excellent reputation among physicians. In short, each firm believes that there are circumstances under which participation by the other firm will complement rather than compete with the firm's own sales. Profits in millions of dollars are given in the payoff matrix below. G.C. Donovan Company is a large pharmaceutical company located in the U.S., but with worldwide sales. Donovan has recently developed two new medications that have been licensed for sale in European Union countries. One medication is an over-the-counter cold preparation that effectively eliminates all cold symptoms, while the other is an antibiotic that is effective against drug resistant bacteria. A European firm, Demtech Limited, has developed drugs that are similar to Donovan's and will be ready for the European market at approximately the same time. Liability concerns make it unlikely that either firm will choose to market both new drugs at this time. Both firms do plan to market one of the drugs this year. Donovan's managers consider their own lack of reputation among European physicians to be an important obstacle in the antibiotic market. Consequently, Donovan feels more comfortable marketing the cold preparation. Demtech, on the other hand, has an excellent reputation among physicians but little experience in over-the-counter drugs so that Demtech's competitive advantage is with the antibiotic. Should Demtech choose to market the cold remedy, it believes that its sales will increase if Donovan also enters the cold remedy market and advertises heavily. Similarly, Donovan anticipates that its sales in the antibiotic market would be enhanced if Demtech produces antibiotics, given Demtech's excellent reputation among physicians. In short, each firm believes that there are circumstances under which participation by the other firm will complement rather than compete with the firm's own sales. Profits in millions of dollars are given in the payoff matrix below.    a. Given the table above, does either firm have a dominant strategy? Is there a Nash equilibrium? (Explain the difference between a Nash equilibrium and a dominant strategy.) b. Pharmaceutical firms within the EU are attempting to organize a risk pool that would share liability risks for new drugs. Since Donovan and Demtech are among the largest pharmaceutical companies operating in Europe, the benefits of the risk pool depend upon the participation of the other firm. Increased profits achieved through reduced risk liability (measured in millions of dollars) are shown in the payoff matrix below.    Does either firm have an incentive to use participation in the risk pool as a bargaining device in the drug-marketing decision? If so, what would be the nature of the bargain? How credible is the firm's bargaining position? What could be done to make the bargaining position more credible? a. Given the table above, does either firm have a dominant strategy? Is there a Nash equilibrium? (Explain the difference between a Nash equilibrium and a dominant strategy.) b. Pharmaceutical firms within the EU are attempting to organize a risk pool that would share liability risks for new drugs. Since Donovan and Demtech are among the largest pharmaceutical companies operating in Europe, the benefits of the risk pool depend upon the participation of the other firm. Increased profits achieved through reduced risk liability (measured in millions of dollars) are shown in the payoff matrix below. G.C. Donovan Company is a large pharmaceutical company located in the U.S., but with worldwide sales. Donovan has recently developed two new medications that have been licensed for sale in European Union countries. One medication is an over-the-counter cold preparation that effectively eliminates all cold symptoms, while the other is an antibiotic that is effective against drug resistant bacteria. A European firm, Demtech Limited, has developed drugs that are similar to Donovan's and will be ready for the European market at approximately the same time. Liability concerns make it unlikely that either firm will choose to market both new drugs at this time. Both firms do plan to market one of the drugs this year. Donovan's managers consider their own lack of reputation among European physicians to be an important obstacle in the antibiotic market. Consequently, Donovan feels more comfortable marketing the cold preparation. Demtech, on the other hand, has an excellent reputation among physicians but little experience in over-the-counter drugs so that Demtech's competitive advantage is with the antibiotic. Should Demtech choose to market the cold remedy, it believes that its sales will increase if Donovan also enters the cold remedy market and advertises heavily. Similarly, Donovan anticipates that its sales in the antibiotic market would be enhanced if Demtech produces antibiotics, given Demtech's excellent reputation among physicians. In short, each firm believes that there are circumstances under which participation by the other firm will complement rather than compete with the firm's own sales. Profits in millions of dollars are given in the payoff matrix below.    a. Given the table above, does either firm have a dominant strategy? Is there a Nash equilibrium? (Explain the difference between a Nash equilibrium and a dominant strategy.) b. Pharmaceutical firms within the EU are attempting to organize a risk pool that would share liability risks for new drugs. Since Donovan and Demtech are among the largest pharmaceutical companies operating in Europe, the benefits of the risk pool depend upon the participation of the other firm. Increased profits achieved through reduced risk liability (measured in millions of dollars) are shown in the payoff matrix below.    Does either firm have an incentive to use participation in the risk pool as a bargaining device in the drug-marketing decision? If so, what would be the nature of the bargain? How credible is the firm's bargaining position? What could be done to make the bargaining position more credible? Does either firm have an incentive to use participation in the risk pool as a bargaining device in the drug-marketing decision? If so, what would be the nature of the bargain? How credible is the firm's bargaining position? What could be done to make the bargaining position more credible?

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In a two-person bargaining situation it is

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Suppose a player in a game has a dominant strategy, but they threaten to take another action. Can this threat be credible?

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Consider the Battle of the Sexes game: Consider the Battle of the Sexes game:   Suppose both players use maximin strategies for this game. Is there a clear equilibrium outcome to the game in this case? Suppose both players use maximin strategies for this game. Is there a clear equilibrium outcome to the game in this case?

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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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Scenario 13.11 Consider the game below: Scenario 13.11 Consider the game below:   -In the game in Scenario 13.11, equilibrium is -In the game in Scenario 13.11, equilibrium is

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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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The relationship between a pure-strategy Nash equilibrium and a dominant-strategy equilibrium is that

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Joanna has a credit card account with Card Bank. Card Bank's available strategies are to raise Joanna's credit card interest rate or do nothing. Joanna's available strategies are to transfer her Card Bank account balance to another creditor or do nothing. The strategy pay-offs are indicated below. Joanna has a credit card account with Card Bank. Card Bank's available strategies are to raise Joanna's credit card interest rate or do nothing. Joanna's available strategies are to transfer her Card Bank account balance to another creditor or do nothing. The strategy pay-offs are indicated 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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What does it mean to say that a game is in "extensive form"?

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Consider the following output-choice game for two firms: Consider the following output-choice game for two firms:   What is Firm 2's first-mover advantage in a sequential game relative to a simultaneous game? What is Firm 2's first-mover advantage in a sequential game relative to a simultaneous game?

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Scenario 13.16 Consider the pricing game below: Scenario 13.16 Consider the pricing game below:   -Refer to Scenario 13.16. If Gooi moves first, the payoff in equilibrium will be -Refer to Scenario 13.16. If Gooi moves first, the payoff in equilibrium will be

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