In the following normal-form game, what strategies survive iterated elimination of strictly dominated strategies? What are the pure-strategy Nash equilibria? L R T 2,0 1,1 4,2 M 3,4 1,2 2,3 1,3 0,2 3,0
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- Apply the EIE algorithm, and determine the solution set of the game in normal form. Clearly indicate the eliminated dominated strategies. Assuming that each player would not choose strategies that are strictly dominated, determine the Nash equilibria of the reduced game J2 (1, 5) (3,0) (1, 3) (2, 2) (4, 1) (2,6) (0,4) (2, 5) (5,2) (3, 1) (4, 2) (2, 0) a J1In the following game, find the dominated strategies for each player and the reduced game and solve the pure equilibrium strategy. Also solve the mixed equilibrium strategy, if it doesn't exist, explain Y1 Y2 Y3 |(10,-10) (2,-2) X1 |(4,-4) (5,-5) X2 (3,-3) (4,-4) X3 (8,-8) (6,-6) (9,-9)Consider again the normal form of the Prisoner's dilemma game. Determine any Nash Equilibrium. Player 2 R (-10,-10) (-1,-25) (-25,-1) (-3,-3) C Player 1 R
- Which is false for the following game? C R. T. 3, 2 0,3 3, 3 M 5,0 4, 1 3, 1 B 2, 2 4, 5 1, 1 A. (M,C) and (B,C) are the only pure strategy Nash Equilibria OB. There is a Nash cquilibrium in which R is played with positive probability C. There is no Nash equilibrium in which L is played with positive probability OD. There is no Nash equilibrium in which both players choose two of their actions with positive probabilityIn the following symmetric general sum game (2, 2) (0,0) (0,0) (0,0) (0,0) (2, 2) (0,0) (2,2) (0,0) (i) Find all pure Nash equilibria. (ii) Find all mixed Nash equilibria in which all probabilities are positive. (vi) Which of these are evolutionary stable strategies?Two network TV channels compete in the same market. They can broadcast a sitcom or a game show in prime time. Their objective is to maximize viewership in their local market. The outcomes corresponding to each of their strategies is shown below. Use your mouse to point and click on the Nash equilibrium outcome(s). [There may be more than one so make sure you work out all the best response strategies]. Network 1 Sitcom O Game show O Sitcom Network 2 55%,45% 50%,50% Game show 52%,48% O 45%,55% O
- Convert into Normal-Form Game and Find out the subgame-Nash Equi- libria? OUT (0, 2) Small Entrant Small IN Entrant Incumbent Large Large Small Large (−6, −6) (−1,1) (1,−1) What does the Information set imply in this game? (-3,-3)Refer to Table Left-Right-ZigZag. How many pure strategy Nash equilibria does this game have? Table: Left-Right-ZigZag Player 1 Drive left Driver right Zigzag 1) 1 2) 2 3) 3 4) 4 5) None of the above. Drive left (1,1) (-1,-1) (0,0) Player 2 Driver right (-1,-1) (1,1) (0,0) Zigzag (0,0) (0,0) (0,0)In the following normal form game, perform iterated elimination of strictly dominated strategies. What are the pure- strategy Nash equilibria? LCR T (2, 0) (1, 1) (4, 2) М (3, 4) (1, 2) (2, 3) В (1, 3) (0, 2) (3, 0)
- Can you help me with the question below? What is [are] the Nash Equilibrium [Equilibria] of this game? A) (10;10) and (20;20) B) (30;30) C) (10;20) and (20;10) D) (20;20) E) (30;30)Consider a two-player game in which the players take turns, with player 1 moving first. When it is a player's turn, she must announce a number between 1 and 3. The announced number is added to the previously announced numbers. The player who announces the number such that the sum of all announced numbers is 6 wins (receives 1) and the other loses (receives 0). Please indicate whether or not each of the following sequences of announcements is a Nash equilibrium of the game. Hint: Think about how one verifies whether or not a pair of strategies is a Nash equilibrium. P1 says 3, then P2 says 2, then P1 says 1 P1 says 1, then P2 says 3, then P1 says 2 P1 says 2, then P2 says 3, then P1 says 1 P1 says 3, then P2 says 1, then P1 says 2Find the mixed-strategy Nash equilibrium of the following normal-form game(Gibbons exercise 1.12) L R T 2,1 0,2 B 1,2 3,0