Exam 21: Game Theory

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The ________ criterion results in the maximum of the minimum payoffs.

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Regret is the difference between the payoff from the

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s1 s2 s3 10 8 6 14 15 2 7 8 9 What decision should be made under minimax regret?

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The ________ method uses probabilities to determine the best strategy for each player.

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Two companies are about to make a decision regarding an investment in a new promotional campaign. Company A will either advertise in all media or advertise in newspapers only. Company B will either run a sweepstake or run a big sale. The payoff matrix is shown below. Company B : Run a : Run a sweepstakes big sale A1: Advertise in all media 4 -1 Company A A2: Advertise in newspapers only -2 1 Determine the value of the game.

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Construct the payoff matrix for the game, "rock, paper, scissors" for 2 players, A and B. Assume that "paper covers rock", "rock breaks scissors," and "scissors cut paper." If player A wins, assign +1. If player A loses, assign -1.

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250 750 500 300 -250 1200 500 500 600 What decision should be made under minimax regret?

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s1 s2 s3 10 8 6 14 15 2 7 8 9 If the probabilities of s1, s2, and s3 are 0.2, 0.4, and 0.4, respectively, then what decision should be made under expected value?

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In a game situation, it is assumed that the payoff table is known to all players.

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

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In a(n) ________ game, players switch decisions in response to the decision of the other player and eventually return to the initial decisions, resulting in a closed loop.

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In a zero sum game one player's gains represent another's exact

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Two companies are about to make a decision regarding an investment in a new promotional campaign. Company A will either advertise in all media or advertise in newspapers only. Company B will either run a sweepstake or run a big sale. The payoff matrix is shown below. Company B : Run a : Run a sweepstakes big sale A1: Advertise in all media 4 -1 Company A A2: Advertise in newspapers only -2 1 Determine the proportion of time that Company A should employ each strategy.

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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 maximin criterion, how many new workers will he hire?

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250 750 500 300 -250 1200 500 500 600 What decision should be made by the conservative decision maker?

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

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With the ________ criterion each player seeks to minimize maximum possible losses.

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The expected value and expected opportunity loss criteria result in

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A strategy is ________ and can be eliminated if all its payoffs are worse than the corresponding payoffs for another strategy.

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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 equilibrium point.

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