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- 05. Solve the following game. Player A 1 0 5 732 Player B 276 4 8 10What is the SPNE of the following game, where Player 1 moves first and can play A or B, and player 2 moves second and can play X or Y? Player 1 A B Player 2 Y 3,1 2, 3 1, 2 1, 2 >3. Find the saddle point, if it exists, for the following game. (b) Solve the following game by using the principle of dominance and find the probabilities of strategies for each player and the value of the game. Player B Player A II III IV V 3 4 4 II 2 4 III 4 4 IV 4 4 20 2420 8760
- A R1 R2 C1 5,4 6,4 B C2 11,5 9, 2 In this game between players A and B, Only A has a dominant strategy O Only B has a dominant strategy Both players have a dominant strategy O Neither player has a dominant strategy2. Consider the normal form game a b с d e f 9 h A B C E F 1,0 2,1 1,0 1,1 2,2 0,1 3,2 0,1 0,0 0,1 0,10 0,3 10, 2 0,0 0,1 20,1 5,4 20,3 5,20 5,0 0,4 0,5 1,5 0, 10 1,0 4,6 15,5 4,7 5,6 10,5 100, 5 4,5 4,0 4,1 5,5 3,0 0,1 100,5 4,8 0,7 100,7 4,10 4,5 D 2,0 0,1 0,2 5,3 1, 10 1. Find all pure strategy Nash equilibria. 2. Find all strictly dominated strategies. 3. After removing all strictly dominated strategies, find all strictly dominated strategies in the game with the strategies you found in part b. eliminated. 4. Continue the process until you can no longer find any more (iteratively) undominated 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. None
- b 500,0 -10, 30 B 6,-1 0,0 C -1, 20 -20, 100 What is the Nash Equilibrium of this game? A a a. (C, c) O b. (C, b) O c. (A, a) O d. (B, b) C 20, 12 8, -2 7,8005/ Solve the following payoff matrix to find the best strategies and the value of game: BI B2 Al 8 A2 3 5 A3 10 2.QUESTION 9 y a 3, 5 4, 2 4, 1 2, 3 b 2, 4 6, 6 5, 1 1, 2 1,3 7,3 4, 2 3, 7 d 1, 2 5, 2 3, 4 4, 1 How many rationalizable outcomes are there in this game? Give your answer as a whole number. C.
- Consider the following normal form game Player 2 L C R Player 1 5,4 4, 5 3,8 8,3 8,0 8,8 5,5 6,3 0,8 UMDQuestion 30 Consider the following Extended Form Game: O True A O False (2,3) P1 A' (5,5) A' (3,8) B A P2 B' P2 B' P1 B (1,9) Player 2 threatens to play (A',B') no matter what. Is this threat credible? (9,1)Reduce the matrix into 2x2 and compute for the value of the game. B STRATEGY STRATEGY A B₁ B₂ STRATEGY A₁ -10 STRATEGY A₂ 20 STRATEGY A, 6 STRATEGY A -13 STRATEGY A -30 STRATEGY A 16 5 2 2 -10 0 -20 STRATEGY B₂ 15 -20 6 44 45 6