Exam 18: Game Theory and Strategic Choices

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When players in a game collude, they:

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What type of game is played when each player must choose without knowing the other player's choice?

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What advantage does a game tree have over a payoff table in presenting data for players in a game that plays out over time?

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How common are strategic interactions and games in people's lives?

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(Figure: Payoff Matrix for Blue Bottle and Opal Ocean) Use Figure: Payoff Matrix for Blue Bottle and Opal Ocean. The figure shows the potential profits of two producers of bottled water. Each has two strategies available to it: a high price and a low price. The Nash equilibrium occurs when Blue Bottle charges a _____ price and Opal Ocean charges a _____ price. ​ (Figure: Payoff Matrix for Blue Bottle and Opal Ocean) Use Figure: Payoff Matrix for Blue Bottle and Opal Ocean. The figure shows the potential profits of two producers of bottled water. Each has two strategies available to it: a high price and a low price. The Nash equilibrium occurs when Blue Bottle charges a _____ price and Opal Ocean charges a _____ price. ​

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Which of the following terms denotes a situation in which an individual's best choice may depend on what others choose, and others' best choice may depend on what the individual chooses?

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(Figure: Oligopoly Pricing Strategy in Wireless TV Market I) Use Figure: Oligopoly Pricing Strategy in Wireless TV Market I. If neither Spectrum nor Sling advertises, then without any collusion: ​ (Figure: Oligopoly Pricing Strategy in Wireless TV Market I) Use Figure: Oligopoly Pricing Strategy in Wireless TV Market I. If neither Spectrum nor Sling advertises, then without any collusion: ​

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A situation with more than one equilibrium is called:

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Use the table with data for Maria and Jose to answer the question. If Maria charges $4, then Jose's best option would be to charge _____ in order to earn _____.  Table: Maria and Jose Produce Strawberry Jam \text { Table: Maria and Jose Produce Strawberry Jam } Jose charges \ 8 per jar. Jose charges \ 4 per jar. Maria charges \ 8 per jar. Maria earns \ 200 , and Jose earns \ 180. Maria earns \ 50 , and Jose earns \ 280. Maria charges \ 4 per jar. Maria earns \ 300 , and Jose earns \ 40. Maria earns \ 180 , and Jose earns \ 150.

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(Figure: Oligopoly Pricing Strategy in Wireless TV Market II) Use Figure: Oligopoly Pricing Strategy in Wireless TV Market II. The Nash equilibrium in the cable TV market occurs when: ​ (Figure: Oligopoly Pricing Strategy in Wireless TV Market II) Use Figure: Oligopoly Pricing Strategy in Wireless TV Market II. The Nash equilibrium in the cable TV market occurs when: ​

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(Figure: Payoff Matrix for the United States and Canada) Use Figure: Payoff Matrix for the United States and Canada. Suppose that the United States and Canada both produce quinoa, and each country can earn more profit if output is limited and the price of quinoa is high. The joint profit-maximizing combination is for the United States to produce a _____ output and Canada to produce a _____ output. ​ (Figure: Payoff Matrix for the United States and Canada) Use Figure: Payoff Matrix for the United States and Canada. Suppose that the United States and Canada both produce quinoa, and each country can earn more profit if output is limited and the price of quinoa is high. The joint profit-maximizing combination is for the United States to produce a _____ output and Canada to produce a _____ output. ​

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Firms will choose a Grim trigger strategy if they:

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What is true about game trees and payoff tables?

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Use the table with data for Maria and Jose to answer the question. If Maria charges $8, the Jose should charge _____. If Maria charges $4, then Jose should charge _____.  Table: Maria and Jose Produce Strawberry Jam \text { Table: Maria and Jose Produce Strawberry Jam } Jose charges \ 8 per jar. Jose charges \ 4 per jar. Maria charges \ 8 per jar. Maria earns \ 200 , and Jose earns \ 180. Maria earns \ 50 , and Jose earns \ 280. Maria charges \ 4 per jar. Maria earns \ 300 , and Jose earns \ 40. Maria earns \ 180 , and Jose earns \ 150.

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Why is a "Nash equilibrium" called an equilibrium?

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(Scenario: Payoff Matrix for Two Computer Manufacturers) Use Scenario: Payoff Matrix for Two Computer Manufacturers. If both firms pursue their BEST response: Scenario: Payoff Matrix for Two Computer Manufacturers The following table provides the payoff matrix for two firms, Dell and HP. They are the only two firms in the industry and can either compete or cooperate with each other, with the following profit results reflecting their actions. (Scenario: Payoff Matrix for Two Computer Manufacturers) Use Scenario: Payoff Matrix for Two Computer Manufacturers. If both firms pursue their BEST response: Scenario: Payoff Matrix for Two Computer Manufacturers The following table provides the payoff matrix for two firms, Dell and HP. They are the only two firms in the industry and can either compete or cooperate with each other, with the following profit results reflecting their actions.

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(Figure: Payoff Matrix for Ozarka and Deer Park) Use Figure: Payoff Matrix for Ozarka and Deer Park. The figure shows the potential profits of two producers of bottled water. Each has two strategies available to it: a high price and a low price. The Nash equilibrium is: ​ (Figure: Payoff Matrix for Ozarka and Deer Park) Use Figure: Payoff Matrix for Ozarka and Deer Park. The figure shows the potential profits of two producers of bottled water. Each has two strategies available to it: a high price and a low price. The Nash equilibrium is: ​

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Why are cooperative agreements rare in markets with strategic interactions?

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Use the table about Hikaru and his parents to answer the question. Hikaru wants to graduate from college as soon as possible after high school and begin his career with his personal finances as sound and debt-free as possible. Hikaru's best option to achieve this goal is _____ work part-time in high school if his parents pay his tuition and _____ work part-time in high school if his parents do not pay his tuition. \text { Table: Hikaru and His Parents }\\ \begin{array}{l} \begin{array} { | l | l | l | } \hline & { \begin{array} { l } \text { His parents agree to pay } \\ \text { Hikaru's college tuition. } \end{array} } & { \begin{array} { c } \text { His parents do not pay } \\ \text { Hikaru's college tuition. } \end{array} } \\ \hline \begin{array} { l } \text { Hikaru works part-time in } \\ \text { high school and saves most of } \\ \text { his income. } \end{array} & \begin{array} { l } \text { Hikaru starts college right } \\ \text { after high school with no debt } \\ \text { and has savings when he } \\ \text { graduates from college. } \end{array} & \begin{array} { l } \text { Hikaru starts college right } \\ \text { after high school with no debt } \\ \text { for at least one year. } \end{array} \\ \hline \begin{array} { l } \text { Hikaru does not work or save } \\ \text { in high school. } \end{array} & \begin{array} { l } \text { Hikaru starts college right } \\ \text { after high school with no } \\ \text { debt. } \end{array} & \begin{array} { l } \text { Hikaru takes out a student } \\ \text { loan or delays college. } \end{array} \\ \hline \end{array} \end{array}

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(Table: GoGo Gas and Fanny's Fantastic Fuel) Use Table: GoGo Gas and Fanny's Fantastic Fuel. The table shows a payoff matrix for GoGo Gas and Fanny's Fantastic Fuel in a small town. Each firm can set either a high price or a low price, and customers view both gas stations as nearly perfect substitutes. The BEST response for Fanny is to: ​ (Table: GoGo Gas and Fanny's Fantastic Fuel) Use Table: GoGo Gas and Fanny's Fantastic Fuel. The table shows a payoff matrix for GoGo Gas and Fanny's Fantastic Fuel in a small town. Each firm can set either a high price or a low price, and customers view both gas stations as nearly perfect substitutes. The BEST response for Fanny is to: ​

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