The game, "the battle of the sexes" (discussed in class) has pure strategy Nash Equilibria and mixed strategy Nash Equilibrium (again in numbers). Of these 3 strategy, are pareto efficient.
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mixed strategy Nash Equilibrium (again in numbers).
Of these 3 strategy,
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- The game, "the battle of the sexes" (discussed in class) has pure strategy Nash Equilibria and mixed strategy Nash Equilibrium (again in numbers). Of these 3 strategy, Hide hint for Question 3 are pareto efficient. Fill in the blanks with numbers - don't write out the numbers. 4 not four.Use the following normal-form game to answer the questions below. Player 2 Strategy C D Player 1 A 50, 50 120, 25 B 25, 120 55, 55 a. Identify the one-shot Nash equilibrium.multiple choice 1 (B,C) (B,D) (A,C) (A,D) b. Suppose the players know this game will be repeated exactly three times. Can they achieve payoffs that are better than the one-shot Nash equilibrium?multiple choice 2 No Yes c. Suppose this game is infinitely repeated and the interest rate is 6 percent. Can the players achieve payoffs that are better than the one-shot Nash equilibrium?multiple choice 3 No Yes d. Suppose the players do not know exactly how many times this game will be repeated, but they do know that the probability the game will end after a given play is θ. If θ is sufficiently low, can players earn more than they could in the one-shot Nash equilibrium?multiple choice 4 Yes NoSwitch the payoffs in cells (A, A) and (D, D). What is the pure strategy Nash equilibrium outcome if there is one?
- Use the following normal-form game to answer the following questions. a. For what values of x is strategy D (strictly) dominant for player 2? b. For what values of x is strategy B (strictly) dominant for player 1? c. For what values of x is (B, D) the only Nash equilibrium of the game?In a game of chicken, two drivers are heading towards each other on a collision course. The first one to swerve is considered the "chicken" and loses. What is the Nash equilibrium in this game? a) Both drivers swerve b) Neither driver swerves c) One driver swerves while the other doesn't d) It depends on the specificChris Evans Party Don't Party Paparazzo Stalk 3,4 1,1 Don't Stalk 4,2 1,2 Suppose a sequential game in which Paparazzo moves first. What is the subgame perfect Nash equilibrium? (Stalk; Party if Paparazzo chooses Stalk, and Party if Paparazzo chooses Don't Stalk). (Stalk; Party if Paparazzo chooses Stalk, and Don't Party if Paparazzo chooses Don't Stalk). O (Don't Stalk; Party if Paparazzo chooses Stalk, and Party if Paparazzo chooses Don't Stalk). (Don't Stalk; Party if Paparazzo chooses Stalk, and Don't Party if Paparazzo chooses Don't Stalk).
- Use a matrix to model a two-player game of rock-paper-scissors with payoff of 1 if you win, -1 if you lose, and 0 if you tie. In this game, how many pure-strategies Nash equilibria exist?Use the following payoff matrix for a one-shot game to answer the accompanying questions. Player 2 Strategy X Y Player 1 A 30, 30 16, -50 B -50, 16 50, 50 A. Determine the Nash equilibrium outcomes that arise if the players make decisions independently, simultaneously, and without any communication. check all that apply (16, −50) (−50, 16) (30, 30) (50, 50) Which of these outcomes would you consider most likely? multiple choice (16, −50) (50, 50) (−50, 16) (30, 30) B. Suppose player 1 is permitted to “communicate” by uttering one syllable before the players simultaneously and independently make their decisions. What should player 1 utter? multiple choice A or B What outcome do you think would occur as a result? multiple choice (−50, 16) (16, −50) (30, 30) (50, 50) c. Suppose player 2 can choose its strategy before player 1, that player 1 observes player 2’s choice before making her decision, and that this move structure is…Sam and Sarah are thinking about getting married. However if either of them cheats on the other, they would get a payoff of 10, while the other person gets zero. If neither cheat, they stay with each other and get a payoff of 7 each and if both cheat, the relationship falls apart and each get a payoff of 1. What is the Nash equilibrium of this game? a. Cheat, Cheat b. Not cheat, Not cheat Sam cheats, Sarah doesn't Sarah cheats, Sam doesn't
- The following payoff matrix represents a simultaneous-move game between two players: Kay and Jack. Each player has two choices: Black or White. The first number in each cell is the payoff to Kay, and the second number is the payoff to Jack. Jay Black White 50, 30, Black 50 30 Кay 45, 40, White 30 50 Refer to the scenario above. Which is true? a. This game has a dominant strategy equilibrium. b. This game has two dominant strategy equilibria. c. This game has two Nash equilibria. d. This game has one Nash equilibrium.Use the following payoff matrix for a one-shot game to answer the accompanying questions. Player 2 Strategy X Y Player 1 A 50, 50 -110, 6 B 6, -110 26, 26 a. Determine the Nash equilibrium outcomes that arise if the players make decisions independently, simultaneously, and without any communication.check all that apply (26,26) (50,50) (-110,6) (6,-110) Which of these outcomes would you consider most likely?multiple choice 1 (-110,6) (50,50) (6,-110) (26,26) b. Suppose player 1 is permitted to “communicate” by uttering one syllable before the players simultaneously and independently make their decisions. What should player 1 utter?multiple choice 2 B A What outcome do you think would occur as a result?multiple choice 3 (26,26) (50,50) (-110,6) (6,-110) c. Suppose player 2 can choose its strategy before player 1, that player 1 observes player 2’s choice before making her decision, and that this move…This table shows a game played between two players, A and B. The payoffs in the table are shown as (Payoff to A, Payoff to B). B Left Right (3, 1) (5,7) (4, 3) Center (1, 4) (2, 2) (3, 2) (6, 2) (4, 6) (5, 5) Up Middle Down Which of the following outcomes represents a Nash equilibrium in the game? (Up, Center) (Middle, Right) (Down, Left) (Down, Center)