Exam 21: Game Theory
Exam 1: Management Science121 Questions
Exam 2: Linear Programming: Model Formulation and Graphical Solution122 Questions
Exam 3: Linear Programming: Computer Solution and Sensitivity Analysis95 Questions
Exam 4: Linear Programming: Modeling Examples90 Questions
Exam 5: Integer Programming107 Questions
Exam 6: Transportation, Transshipment, and Assignment Problems98 Questions
Exam 7: Network Flow Models104 Questions
Exam 8: Project Management116 Questions
Exam 9: Multicriteria Decision Making103 Questions
Exam 10: Nonlinear Programming72 Questions
Exam 11: Probability and Statistics152 Questions
Exam 12: Decision Analysis122 Questions
Exam 13: Queuing Analysis123 Questions
Exam 14: Simulation100 Questions
Exam 15: Forecasting133 Questions
Exam 16: Inventory Management157 Questions
Exam 17: the Simplex Solution Method90 Questions
Exam 18: Transportation and Assignment Solution Methods86 Questions
Exam 19: Integer Programming: the Branch and Bound Method63 Questions
Exam 20: Nonlinear Programming: Solution Techniques55 Questions
Exam 21: Game Theory64 Questions
Exam 22: Markov Analysis64 Questions
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A pure strategy game can be solved according to the ________ criterion.
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(Short Answer)
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Correct Answer:
minimax
A ________ game occurs when each player selects an optimal strategy that does not result in an equilibrium point when the minimax criterion is used.
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(Short Answer)
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Correct Answer:
mixed strategy
In a mixed strategy game, players switch decision in response to the other player.
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(True/False)
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Correct Answer:
True
The best strategy for each player is his or her optimal strategy.
(True/False)
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A(n) ________ game occurs when each player selects an optimal strategy that does not result in an equilibrium point when the minimax criterion is used.
(Multiple Choice)
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In a ________ game one player's gains represent another player's exact losses.
(Short Answer)
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Mary Schultz is the incumbent Senator from Ohio and John Henderson is her opponent in the upcoming election. Since Mr. Henderson is seeking to unseat Ms. Schultz, he is on the offensive, while Ms. Schultz hopes to minimize his gains or her losses in the election. The following payoff table shows the various percentage point gains/losses in the polls for the two candidates based on their selection of certain political strategies. Mary Schult'z Defensive Strategies Strategy A Strategy B John Henderson's Strategy 1 3 7 Offensive Strategies Strategy 2 6 10
Determine the optimal strategy and the optimal payoff for both players.
(Essay)
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Game theory addresses decision situations with two or more decision makers in competition.
(True/False)
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The local operations manager for the IRS must decide whether to hire one, two, or three temporary workers. He estimates that net revenues will vary with how well taxpayers comply with the new tax code. \# of Workers Low Compliance Medium Compliance High Compliance 1 50 50 50 2 100 60 20 3 150 70 -10
If he uses the minimax regret criterion, how many new workers will he hire?
(Short Answer)
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Mary Schultz is the incumbent senator from Ohio and John Henderson is her opponent in the upcoming election. Since Mr. Henderson is seeking to unseat Ms. Schultz, he is on the offensive, while Ms. Schultz hopes to minimize his gains or her losses in the election. The following payoff table shows the various percentage point gains/losses in the polls for the two candidates based on their selection of certain political strategies. Mary Schult'z Defensive Strategies Strategy A Strategy B John Henderson's Strategy 1 7 3 Offensive Strategies Strategy 2 6 10
Use the expected gain and loss method and determine the probability that each strategy will be used by each player.
(Essay)
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Given the following payoff/loss table for a mixed strategy game between two players: \nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace\nobreakspace Player 2 (defensive) Strategies A B C D 1 40 30 54 80 Player 1 2 90 50 60 65 Offensive 3 80 75 52 90 Strategies 4 60 40 55 50
Identify dominated strategy(s), if it (they) exist(s).
(Short Answer)
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A(n) ________ occurs when the optimal strategy for each player results in the same payoff.
(Short Answer)
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The value of the game is the defensive player's gain and the offensive player's loss in a zero-sum game.
(True/False)
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The payoffs for a mixed strategy game assumes that the game is played exactly one time.
(True/False)
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The ________ is the offensive player's gain and the defensive player's loss in a zero-sum game.
(Multiple Choice)
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In game theory, each player seeks to minimize maximum possible losses with the ________ criterion.
(Short Answer)
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The local operations manager for the IRS must decide whether to hire one, two, or three temporary workers. He estimates that net revenues will vary with how well taxpayers comply with the new tax code. \# of Workers Low Compliance Medium Compliance High Compliance 1 50 50 50 2 100 60 20 3 150 70 -10
If he thinks the chances of low, medium, and high compliance are 20%, 30%, and 50%, respectively, what are the expected net revenues for the number of workers he will decide to hire?
(Essay)
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