Problem 1 Find all the mixed strategy Nash equilibria of the games shown below: Game 1: Payoff Matrix Game 2: Payoff Matrix L T B 2 2 L 1 0 0 1 R 1 2 T B 2 1 NI 2 0 0 2 R 1 0
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- Problem 3 Find the mixed-strategy Nash equilibria of the following game: Player 2 R 1, 4 4, 3 Player 1 C 2, 0 1, 2 1, 5 0, 6Problem 3 - The Perfect Subgame Find the set of pure strategy Nash equilibria and subgame perfect equilibria of the following game: Out In 0, 20 F A F A F A -5, -5 -1,8 8,5 10, 10Question 9 Player 1 Y Player 2 3,2 2 -0,1 1,3 -0,1 Which of the following is the Subgame Perfect Nash Equilbrium in this game?
- D Question 11 Consider the following Extended Form Game: O 1 02 O 3 A' 04 (9,5) A P2 P1 B' A' (5,2) (8,5) B x A (1,6) P2 B' According to backwards induction, in how many turn does the game end? P1 B (6,7)Refer to the game in the figure below. How many pure strategy Nash equilíbria does the game have? Player 2 Numerical answer Player 1 T M B U 3,3 2,5 3,2 D 2,6 4,1 4,2QUESTION 3 Up Down In the game above, what is/are the sub-game perfect Nash equilibrium? Ⓒ (up,up) (up,down) Player 1 (down, up) (down, down) No equilibrium exists Up Down Up Down Player 2 P1 gets $25 P2 gets $25 P1 gets $7 P2 gets $30 P1 gets $13 P2 gets $9 P1 gets $8 P2 gets $6
- Up Down Up Down Player 1 In the game above, what is/are the sub-game perfect Nash equilibrium? (up,up) (up,down) (down, up) (down, down) No equilibrium exists Up Down Player 2 eLearning Help P1 gets $45 P2 gets $155 P1 gets $100 P2 gets $10 P1 gets $85 P2 gets $85 P1 gets $95 P2 gets $95Aedri Quick Lesson in Game Theory A Nash Equilibrium is an outcome in which neither player is better off by changing their strategy. 2.7 Is a Dominant Strategy equilibrium also a Nash equilibrium? a) Yes b) No esc The Ice Cream Guys $3.99 $4.99 + Chucky's Chunky CCT: $20,000 $3.99 ICG: $20,000 CCT: $60,000 ICG: $10,000 tab Treats CCT: $10,000 $4.99 ICG: $60,000 CCT: $40,000 ICG: $40,000 The table above is the payoff matrix for the annual profit of the only two ice-cream-truck firms operating in Beach City. They are deciding the price of an ice cream cone. %3D caps lo 2.8 What is Chucky's dominant strategy? a) $3.99 b) $4.99 c) Not enough information hift 2.9 What is the dominant strategy equilibrium in this situation? a) Both charge $3.99 b) Both charge $4.99 c) CCT charges $3.99 and ICG charges $4.99 d) CCT charges $4.99 and ICG charges $3.99 2.10 Suppose these two firms engaged in collusion (which, of course, totally doesn't happen because it is against the law). Which outcome would…In the game presented in Table, what are the Nash equilibrium strategies for players A and B?
- a) Find the pure strategy Nash Equilibrium for the subgame starting at player l's second decision node. b) Find the Subgame Perfect Nash Equilibria for the entire game. 1 Withdraw Not 2 Withdraw Not Withdraw Not 10 2 6 2 10 Not Withdraw 2 Withdraw Not Withdraw Not 15 20 10 15 15 10 20 15 49Up Down Player 1 In the game above, what is/are the sub-game perfect Nash equilibrium? □ (up,up) Ⓒ (up,down) ☐ (down, up) O (down, down) No equilibrium exists Up Down Up Down Player 2 P1 gets $45 P2 gets $155 P1 gets $100 P2 gets $10 P1 gets $85 P2 gets $85 P1 gets $95 P2 gets $95• (1,0) (1,1) Player 2 G D H (2,0) Action Player 1 Player 1 Action B Player 1 (3,-1) E Player 2 (0,1) (-1,-1) (a) Find all the Subgame Perfect Nash equilibria in this game. (b) Find all the Nash equilibria in this game. (Hint: write the game in strategic form.)
