Exam 21: Game Theory

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A pure strategy game can be solved according to the ________ criterion.

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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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mixed strategy

In a mixed strategy game, players switch decision in response to the other player.

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A two-person game encompasses two players.

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The best strategy for each player is his or her optimal strategy.

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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.

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In a ________ game one player's gains represent another player's exact losses.

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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.

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Game theory addresses decision situations with two or more decision makers in competition.

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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?

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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.

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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).

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A ________ is a plan of action followed by a player.

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A(n) ________ occurs when the optimal strategy for each player results in the same payoff.

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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.

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The payoffs for a mixed strategy game assumes that the game is played exactly one time.

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The ________ is the offensive player's gain and the defensive player's loss in a zero-sum game.

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In game theory, each player seeks to minimize maximum possible losses with the ________ criterion.

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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?

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Game theory assumes that players behave

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