Exam 12: Game Theory

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Use the following to answer question: Table 12.20 Use the following to answer question: Table 12.20   -(Table 12.20) Payoffs represent profits in millions of dollars. Which of the following statements is (are) TRUE?  -(Table 12.20) Payoffs represent profits in millions of dollars. Which of the following statements is (are) TRUE? Use the following to answer question: Table 12.20   -(Table 12.20) Payoffs represent profits in millions of dollars. Which of the following statements is (are) TRUE?

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Use the following to answer question: (Table: Lemonade) Use the following to answer question: (Table: Lemonade)   -(Table: Lemonade) Abe and Sarah operate lemonade stands in the same neighborhood. Payoffs are in quarters . This can also be extended: c + ad + cd<sup>2</sup> + ad<sup>3</sup>. . . = (c + ad)/(1 - d<sup>2</sup>). -(Table: Lemonade) Abe and Sarah operate lemonade stands in the same neighborhood. Payoffs are in quarters . This can also be extended: c + ad + cd2 + ad3. . . = (c + ad)/(1 - d2).

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Use the following to answer question: Table 12.34 Use the following to answer question: Table 12.34   -(Table 12.34) Represent the normal-form game as a sequential game, with Firm A making the first decision. What is the outcome of this game? -(Table 12.34) Represent the normal-form game as a sequential game, with Firm A making the first decision. What is the outcome of this game?

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Suppose that in a two-player game player A can move a game piece Up or Down; player B can choose Left or Right. Payoffs for this game are given in the table: Suppose that in a two-player game player A can move a game piece Up or Down; player B can choose Left or Right. Payoffs for this game are given in the table:   a. What are the pure-strategy Nash equilibria if any? b. What is the mixed-strategy Nash equilibrium? a. What are the pure-strategy Nash equilibria if any? b. What is the mixed-strategy Nash equilibrium?

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Use the following to answer questions 26-28: Table 12.16 Use the following to answer questions 26-28: Table 12.16   -(Table 12.16) The payoffs represent profits in thousands of dollars. Suppose that two firms are playing an infinitely repeated game. In period 6, Firm B decides it will no longer cooperate with Firm A. If Firm A is using a grim trigger strategy, Firm A will choose: -(Table 12.16) The payoffs represent profits in thousands of dollars. Suppose that two firms are playing an infinitely repeated game. In period 6, Firm B decides it will no longer cooperate with Firm A. If Firm A is using a grim trigger strategy, Firm A will choose:

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To solve for a mixed-strategy equilibrium in a two-player, two-strategy game (two-by-two game):

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Use the following to answer question: Table 12.11 Use the following to answer question: Table 12.11   -(Table 12.11) The payoffs represent dollars won or lost. Which of the following statements is TRUE? -(Table 12.11) The payoffs represent dollars won or lost. Which of the following statements is TRUE?

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Use the following to answer questions 10-11: Table 12.5 Use the following to answer questions 10-11: Table 12.5   -(Table 12.5) Payoffs represent profits in millions of dollars. In a Nash equilibrium, Sports Illustrated will run the _____ cover story and ESPN Magazine will run the _____ cover story. -(Table 12.5) Payoffs represent profits in millions of dollars. In a Nash equilibrium, Sports Illustrated will run the _____ cover story and ESPN Magazine will run the _____ cover story.

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Robert and Rosalie are deciding whether to request fish or chicken at a wedding that they will attend. If they order different meals, they can try each of the dishes by sharing. Their payoffs in terms of their happiness are as follows. Robert and Rosalie are deciding whether to request fish or chicken at a wedding that they will attend. If they order different meals, they can try each of the dishes by sharing. Their payoffs in terms of their happiness are as follows.   a. What are the pure-strategy Nash equilibria if any? b. What is the mixed-strategy Nash equilibrium? a. What are the pure-strategy Nash equilibria if any? b. What is the mixed-strategy Nash equilibrium?

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Use the following to answer question: Table 12.24 Use the following to answer question: Table 12.24   -(Table 12.24) Payoffs represent profits in millions of dollars.  -(Table 12.24) Payoffs represent profits in millions of dollars. Use the following to answer question: Table 12.24   -(Table 12.24) Payoffs represent profits in millions of dollars.

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The following game has: The following game has:

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The following game has _____ pure-strategy equilibrium (equilibria) and (but) _____ mixed-strategy equilibrium. The following game has _____ pure-strategy equilibrium (equilibria) and (but) _____ mixed-strategy equilibrium.

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Consider a game in which a person called the proposer is given $200. The proposer must choose to split the money with a person called the responder. The money must be split in one of three ways: (1) Proposer keeps $199; responder gets $1. (2) Proposer keeps $100; responder gets $100. (3) Proposer keeps $50; responder gets $150. The responder can either accept or reject the proposer's offer. If the responder rejects the offer, both players get nothing. Illustrate this game in extensive form. Using backward induction, what is the outcome of this game?

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Use the following to answer question: Figure 12.7 Use the following to answer question: Figure 12.7   -(Figure 12.7) Suppose that Player A promises a $2 side payment to Player B if Player B chooses Pass. As a result of the side payment, the game's outcome will change from: -(Figure 12.7) Suppose that Player A promises a $2 side payment to Player B if Player B chooses Pass. As a result of the side payment, the game's outcome will change from:

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Use the following to answer question: Figure 12.8 Use the following to answer question: Figure 12.8   -(Figure 12.8) Which of the following is an example of a noncredible threat? -(Figure 12.8) Which of the following is an example of a noncredible threat?

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A simultaneous game:

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Answer the following questions.

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Use the following to answer question: Figure 12.2 Use the following to answer question: Figure 12.2   -(Figure 12.2) Two firms are considering whether to expand their production capacity. Which of the following statements is TRUE? -(Figure 12.2) Two firms are considering whether to expand their production capacity. Which of the following statements is TRUE?

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Use the following to answer question: Table 12.1 Use the following to answer question: Table 12.1   -(Table 12.1) Randy and Todd are playing a simultaneous game. Randy's dominant strategy is _____. and Todd's dominant strategy is _____. -(Table 12.1) Randy and Todd are playing a simultaneous game. Randy's dominant strategy is _____. and Todd's dominant strategy is _____.

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According to Goolsbee and Syverson, how did incumbent airlines respond to the entry of Southwest Airlines?

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