In the game tree below, suppose Player 2 finds themselves at node C after Player 1 has chosen to play RIGHT. What is player 2's best response, at this point? Player 2 RA Lett Riyht B Playard Lett Pight Lett Riht 14, 10 6,8 10,4 of O Both Left and Right are best responses O Right O Left 2 There is no best response
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- Question 28 Suppose the following game: I Player 1 nice nice Player 2 50, 50 mean 90,20 Which of the following is true? mean 20,90 30, 30 O Both players play "mean" with a 70 % chance, and "nice" with a 30% chance. O There is no Nash Equilibrium in pure strategies, there is only one Nash Equilibrium in mixed strategies. Both players play "nice" with a 70% chance, and "mean" with a 30% chance. There is no Nash Equilibrium in mixed strategies, there is only one Nash Equilibrium in pure strategies.learn.canterbury.ac.nz Clasarsom Nov 15-ICO EUC LEARN | AKO See the game below and answer the questions 8 to 11: Player-1 C Player-2 X, Y Y Player-1 9 14 8. Player-2 16 17 16 Nash Equilibrium in this game: Select one: O a. Playert: C; Player2: X O b. Playert: C; Player2: Y Oc. Playert: L; Player2: X Od. Playert: L; Player2: Y e. None4. Consider a two player game with Fred and Barney, who tal turns removing matchsticks from a pile. They start with 33 matchsticks, and Fred goes first. On each turn, ecach player may remove either one, two, three, four, or five matchsticks. The player to remove the last matchstick wins the game. What are the optimal strategies for each player? Who will win? b. Suppose now that they can remove up to six matchsticks, how will the optimal strategies change for- each player? a.
- GAME 5 Player B B2 B1 Player A A1 7, 3 5, 10 A2 3, 8 9, 6 In Game 5 above, O there are no Nash equilibria in pure strategies. Player A choosing A1 and Player B choosing B2 is a Nash equilibrium. O Player A choosing A1 and Player B choosing B1 is a Nash equilibrium. O Player A choosing A2 and Player B choosing B1 is a Nash equilibrium.Consider a repeated game with the following stage game: Player 1 O O O Cooperate Not Cooperate This game is repeated T-120 times, and t each period both players must choose their actions simultaneously. The players are deciding whether or not to cooperate specifically, whether or not to follow this cooperation strategy: r≤ 3 S|S|AW|N N|H "Each player will play cooperate as long as no one has played Not Cooperate before. If someone has played Not Cooperate before, then each player will play Not Cooperate forever." rs 5 rs Player 2 In this case, cooperation will be possible if the interest rate r is Not Cooperate 5,15 10, 10 None of the above Cooperate 12, 12 15,5pls solve this ques within 10-20 minutes in clear handwriting I'll give you multiple upvotes.
- Consider the following game: Player 2 In Out Player 1 In -2,-2 2, 0 Out 0, 2 0, 0 (a) What is the Nash equilibrium of this game, or what are the Nash equilibriaof this game? (b) Does either firm have a dominate strategy (a strategy that is always abest response)? Which? (c) Suppose Player 1 could move before Player 2 and Player 2 could observe Player 1’s move. What do you think would happen?Question 1 Saue Answe Consider a 2-player game with strategy sets S1-(a,b}for player 1 and Sz =(c,d) for player 2. Which statement is true if player 1 has no dominant strategy? O Strategy b guaranteos playor 1 the best possible payaff, no matter what strategy player 2 choosos. O Depending on what strategy player 2 chooses, sometimes strategy a leads to a (weakly) higher payoff for player 1 than strategy b, and sometimes strategy b leads to a (weakiy) higher payoff for player 1 than strategy a. O We cannot say whether any of the other 3 alternatives is true. O Strategy a guarantees player 1 the best possible payoff, no matter whhat strategy player 2 chooses.Ans both Otherwise dont ans
- A Nash equilibrium occurs when O no player has an incentive to unilaterally change strategies. each player has an incentive to unilaterally change strategies. O both players can cooperate to increase their payoffs. O no player can earn a higher payoff from any other strategy.5 Suppose two players play one of the two normal-form games shown in Figure 1. L U 0,-1 D 2,4 R 2,0 6,0 L U | 4,-1 D 2,-2 R 2,0Now suppose that Player 2 knows which game is being played, but Player 1 does not. Find the pure strategy Bayesian Nash equilibrium of this game.Player 2 C D A Player 1 2,3 В 6, —2 | 4, 3 7,8 Select the value corresponding to the probability with which player 2 plays C in the mixed strategy Nash equilibrium: O 1/8 O 1/6 1/5 O 1/4 1/3 1/2 2/3 O 3/4 4/5 O 5/6