What will be the dominant strategy outcome for Felix and Jocelyn? O They both get 12 years. O They both get 10 years. Felix gets 5 years, and Jocelyn gets5 years. O Jocelyn gets 5 years, and Felix gets 15 years.
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- You are playing a game with a friend. It’s yourmove but you don’t have a dominant strategy.Your payoff depends on what your friend doesafter your move. You consider flipping a coin todecide what to do. You are about to reach for acoin, but then you realize that your friend has adominant strategy. Explain how using backwardinduction (rather than a coin toss) will now determine your next moveTeam 2 plays A Team 2 plays B Team 1 plays A 2, 1 0,0 Team 1 plays B 0,0 1, 2 Consider the game above. Which of the following is a Nash Equilibrium of the game? O Team 1 plays A two thirds of the time and plays the rest of the time, while team 2 plays A two thirds of the time and plays B the rest of the time. Team 1 plays A one quarter of the time and plays B the rest of the time, while team 2 plays A one quarter of the time and plays B the rest of the time. Team 1 plays A one quarter of the time and plays B the rest of the time, while team 2 plays A three quarters of the time and plays B the rest of the time. O None of the other answers are correct. Team 1 plays A two thirds of the time and plays B the rest of the time, while team 2 plays A one third of the time and plays B the rest of the time.Two farmers, Ali and Hasan, graze their animals on a common land. They canchoose to use the common resource lightly or heavily and the resulting strategic interactionmay be described as a strategic form game. The payoff matrix is the following: (The table is attached on iamges part) Suppose that the game is repeated infinitely. If both players play a Grim-Trigger strategy, findthe discount factor δ such that (Light,Light) be a Nash equilibrium
- 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'tConsider the following payoff matrix: Diane E W 1, 1 1, 2 1, 2 2, 0 3 0. 2 3. 3 1, 3 1, 2 1, 0 1. 1 0, 3 2, 2 Camilla. E 2, 1 3, 1 W a) Find the Nash Equilibria (NE). b) Eliminate iteratively the strictly dominated strategies. Briefly discuss for each player which actions survive the elimination process.GAME ZZZ B1 Player B A1 30, 30 Player A A2 20, 40 B2 40, 20 35, 35 In the Game ZZZ (see table above), all payoffs are listed with the row player's payoffs first and the column player's payoffs second. In this game, neither player has a dominant strategy. the Nash equilibrium does not maximize the total payoff. there is no Nash equilibrium. the Nash equilibrium maximizes the total payoff.
- There are a kicker and a goalie who confront each other in a penalty kick that willdetermine the outcome of the game. The kicker can kick the ball left or right, while the goaliecan choose to jump left or right. Because of the speed of the kick, the decisions need to bemade simultaneously. If the goalie jumps in the same direction as the kick, then the goalie winsand the kicker loses. If the goalie jumps in the opposite direction of the kick then the kickerwins and the goalie loses. Model this as a strategic form game and write down the matrix thatrepresents the game you modeled. Find the Nash equilibrium.Consider a game where each player picks a number from 0 to 60. The guess that is closest to half of the average of the chosen numbers wins a prize. If several people are equally close, then they share the prize. The game theory implies that (A) all players have dominant strategies to choose 0 (B) all players have dominant strategies to choose 30 (C) there is a Nash equilibrium where all players pick 0 (D) there is a Nash equilibrium where all players pick positive numbers Behavioral data in such games suggests that (A) most subjects choose 0; (B) most subjects choose 30;(C) common answers include 30, 15, 7.5, and 0; (D) most subjects use randomization.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.
- a. The president of a Japanese electronics company, Takashi Hashiyama, famously chose the auction housefor his company’s art collection by having representatives from two auction houses, Christie’s and Sotheby’s,play a round of rock-paper-scissors. At stake were millions of dollars in commissions. Show the payoff matrixfor a game where the payoff is 1 if you win, 0 if you tie, and -1 if you lose. I’m sure you know this already, butjust in case: rock breaks scissors, scissors cut paper, and paper smothers rock. Here’s an article about the actualgame if you’re interested. b. If you were in a high stakes game…Tucker and Eddie are playing the following game. Tucker can choose A or B and Eddie can choose C or D. The first payoff is for Tucker, the second for Eddie. Eddie Tucker C D A 3, 2 4, 3 B 4, 5 3, 4 Identify the Nash equilibrium(s) in this game. What rational game theoretic advice would you offer Tucker and Eddie on how to play this game? If Tucker and Eddie follow your advice, what payoff should each expect? Show your work.The bimatrix represents a simultaneous move game between Rowena and Colin. Rowena's payoff is the left number in each cell. ROWENA O O 2 Calculate Rowena 's expected payoff in the mixed strategy Nash equilibrium. 3.5 2.5 Up Down 3 Left 1,16 2,20 COLIN Right 4,6 3,40
