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) M (3, 4) (1. 2) (2, 3)
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- In 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?Question 1 Consider the following game. Find all Nash equilibria, subgame perfect Nash equilibria, and weak perfect Bayesian equilibria in pure and mixed strategies. a P2 (12, 12) b (12,-8) (7.-3) P1 m d (-3,2) r P2 C (2,7) d (22,17)Q2 Consider the following game. (a) Find all pure-strategy Nash equilibria. (b) Find all mixed-strategy Nash equilibria. 2, 4 6, 0 5,1 1,9 A В
- 5,3 4,4 3,6 7,6 Find the pure strategy nash equilibriaConvert 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)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
- 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% OConsider the following game. Firm 1 can implement one of two actions, A or B. Firm 2 observes the action chosen by Firm 1 and then decides whether to fight it or not. (-10, 20) F2 Fight A Don't fight -(30, 10) Firm 1 (-10, 0) Fight B Don't fight -(20, 15) (a) Consider the following strategy profile: Firm 1 chooses A; Firm 2 chooses fight if A, and fight if B. • this strategy profile is [Select] (b) Consider the following strategy profile: Firm 1 chooses B; Firm 2 chooses fight if A, and don't fight if B. • this strategy profile is [Select] O (c) Consider the following strategy profile: Firm 1 chooses B; Firm 2 chooses don't fight if A and don't fight if B. • this strategy profile is [Select] 00 F2 ()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)
- In this game, (80, 50) 52% a) (R, N) b) (R, R) c) (S, N) d) (R, P) S is a Nash equilibrium First Player (20,68) 12% R P Second Player N (90,70) 36%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 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)