Budweiser Low Medium High Low 120, 90 115, 100 90, 70 Miller Medium 100, 70 130, 60 60, 50 High 90, 20 120, 40 100, 80 Numbers in each cell are profits from the size of an advertising budget- Miller first (in bold), then Budweiser. wo beer companies face the payoff table above for choosing an advertising budget. Does this decision problem have a Nash equilibrium? If so, what is it? Select one: O a. Yes. Low for Miller , Low for Budweiser. O b. No. There is no Nash equilibrium. O. Yes. Low for Miller, Medium for Budweiser. O d. Yes. High for Miller, High for Budweiser.

Budweiser Low Medium High Low 120, 90 115, 100 90, 70 Miller Medium 100, 70 130, 60 60, 50 High 90, 20 120, 40 100, 80 Numbers in each cell are profits from the size of an advertising budget- Miller first (in bold), then Budweiser. wo beer companies face the payoff table above for choosing an advertising budget. Does this decision problem have a Nash equilibrium? If so, what is it? Select one: O a. Yes. Low for Miller , Low for Budweiser. O b. No. There is no Nash equilibrium. O. Yes. Low for Miller, Medium for Budweiser. O d. Yes. High for Miller, High for Budweiser.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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2. Find the Nash equilibrium of the game below: Firm B Low Price Medium Price High Price a. Low Price 4,4 6,3 8,2 Firm A Medium Price High Price 3,6 5.5 4,3 2,8 3,4 3,3
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The payoff matrix in the figure to the right shows the payoffs for a pricing game. If you were firm A, which strategy would you choose? Firm A should A. price high because this is their maximin strategy. B. price low because this is their tit-for-tat strategy. C. price high because this is their dominant strategy. D. price low because this is their dominant strategy. E. price low because this maximizes profits of both firms. Firm B's dominant strategy is to price If this game were repeated a large number of times and you were firm A and you could change your strategy, what might you do? Firm A should O A. use a tit-for-tat strategy by responding in kind to firm B's play. B. use a maximin strategy by maximizing the minimum gain that can be earned. C. use a tit-for-tat strategy by selecting a price that minimizes firm B's profits. D. use a maximin strategy by by responding in kind to firm B's play. E. use a tit-for-tat strategy by maximizing the minimum gain that can be earned. C Price…
12. An important characteristic of a dominant strategy is that: Select one: a. it is the best strategy to dominate your opponents b. it always leads to a Nash equilibrium where all players equally well off c. it can prevent the game reaching a Nash equilibrium d. it is the best strategy for a player, regardless of whatever strategy the opponent chooses
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Give explanation of the correct option and explanation of the incorrect options. Note: Hand written solutions not allowed.
MCQ 26 In game theory, a dominant strategy can best be described as: A a strategy played by a dominant firm to raise its market share В a strategy played by a firm to dominate its rivals C I do not want to answer this question. D all the answers to this question are correct E a strategy that leaves every player in a game better off F a strategy that is optimal for a player, irrespective of what the other players do
6
Pay-offs (in terms of profit) for the two firms are give Firm2 startegies Firm1 Strategies C B W C [4, 4] [0, 5] [-1, 5] [5, 0] [2, 2] [-1, 1] W [5, -1] [1, -1] [0, 0] a)What is a dominant strategy for each player? b)What are the possible pure strategy Nash equilibrium/equilibria to the one-shot play of this game? c) Explain the likely out the game
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1. The table below shows a prisoner's dilemma in normal form. Players 1 and 2 each choose between D and C. D C D 2,2 1,10 10, 1 5,5 Answer the following questions. Remember to explain your reasoning. (a) If the game is played only once, what is the equilibrium in dominant strategies? (b) If the game is played three times in a row, what action does each player choose in every round? Suppose that the game is repeated indefinitely. The players do not discount the future. How- ever, the game ends with probability p € (0, 1) after each round. Assume that each player uses the following grim-trigger strategy. Each player chooses C in the first round. Each player chooses C in the current round if both players chose C in every previous round. Each player chooses D in the current round if either player chose D in some previous round. (c) If p = 1, is it optimal for each player to use the grim-trigger strategy above given that the other player uses the grim-trigger strategy above? [Hint: compare…