Choose the correct answer. A strategy AA is "dominant" for a player X if: A. Every outcome under strategy AA generates positive payoffs. B. Irrespective of any of the possible strategies chosen by the other players, strategy AA generates a higher payoff than any other strategy available to player X. C. Strategy AA is the best response to every strategy of the other player. D. Strategy AA contains among its outcomes the highest possible payoff in the game. E. Strategy AA is the best response to the best strategy of the other player.

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Suppose that you are a manager. You are considering whether or not to monitor employees with the payoffs in the normal-form accompanying game. Worker Work Shirk Manager Monitor -1,1 1,-1 Don't Monitor 1,-1 -1,1 Which of the following pairs of strategies constitutes a Nash equilibrium? Multiple Choice Manager monitors and worker shirks. Manager does not monitor and worker works. Manager monitors and worker works. O None of the answers is correct.

1. Use the following game tree to answer parts a & b. At a chance node (Nature's turn) or when a player is indifferent between strategies, each branch has equal likelihood (50% chance they take either path). Nature receives no payoff. Assume players are mistake proof. Use a complete strategy when discussing the results of this game and provide a payoff, even if that payoff is an expected one. Recall that an expected payoff is the "average" payoff: for example if with 50% chance we receive a payoff of 5 and with 50% chance we receive a payoff of 2, the expected payoff is .5 x 5+ .5 x 2 = 3.5 a. What is the outcome of the game? Assume players are risk neutral (i.e., they see no difference in getting a payoff of 5 vs an expected payoff of 5). Red 0, 1, 3, 3 3, 2, 3, 2 Dorothy Blue Top 1, 4, 3, 2 Scarecrow 50% Green Nature Right Bottom 0, 2, 3, 1 Lion 50% 1, 3, 4, 2 3, 4, 3, 2 50% Left Nature 3, 2, 1, 2 Up 50% Red. 1, 3, 4, 2 Down Tinman Blue 0, 3, 3, 3 Yellow Dorothy 4, 3, 4, 2…

Which of the following best describes a dominant strategy? Question 4Answer a.  The strategy that a player chooses depends on what the other player does b. The strategy that a player chooses minimizes the other player's payoff c.  The strategy that a player chooses is independent of what the other player does d.  The strategy that a player chooses maximizes joint payoffs for both players

In penalty shoot-outs, the Nash Equilibrium strategies of goalies and players depend on how important the game is. In more important games, the Nash Equilibrium will favor low-risk strategies since players are risk-averse. True False

When there's uncertainty as to the length of a game A. cooperation can potentially occur if trigger strategies are adopted. B. firms will randomize among the Nash equilibria. C. cooperation still does not occur, because cooperation unravels at the beginning of the game. D. firms will cooperate because they treat the game as one that is infinitely repeated.

Player 2 Left Center 30, 40 6, 20 20, 20 Right 21, 24 32, 35 10, 5 Up Middle 5, 5 40, 11 Player 1 Down 38, 42 Use the information in the game matrix above to answer questions #3 and # 4. 3. If both Players move simultaneously, then a. Player 1 has a dominant strategy, and Player 2 does not. b. Player 2 has a dominant strategy, and Player 1 does not. c. There is more than one pure strategy Nash Equilibrium. d. Both players have a dominant strategy. e. There are no Nash Equilibria in pure strategies. 4. If Player 1 moves first, then is the subgame perfect equilibrium. a. (Up, Left) b. (Middle, Center) c. (Middle, Right) d. (Down, Left) e. (Down, Center)