4. Find all pure-strategy and mixed-strategy Nash equilibria of the following two-player simultan...
6. Consider the following game: a. Identify all Nash Equilibria (Pure Strategy and Mixed) of this simultaneous game. b. Draw the two extensive form games that arise from each firm moving first. What are the Subgame Perfect Equilibria of these games? c. Identify a trigger strategy for each player that sustains (B,B) as an equilibrium. For what interest (discount) rates will this outcome be sustainable?
Determine ALL of the Nash equilibria (pure-strategy and mixed-strategy equilibria) of the following 3 games: Player 1 H T Player 2 HT (1, -1) (-1,1) | (-1,1) (1, -1) | Н Player 1 H D Player 2 D (2, 2) (3,1) | (3,1) |(2,2) | Player 2 A (2, 2) (0,0) Player 1 A B B (0,0) | (3,4)
a.) Find all pure-strategy Nash equilibria. b.) *Find all mixed-strategy Nash equilibria. c.) Explain why, in any mixed-strategy equilibrium, each player must be indifferent between the pure strategies that she randomizes over. Consider the following game: - 2 LR 2
Consider the following extensive-form game with two players, 1 and 2. a). Find the pure-strategy Nash equilibria of the game. [8 Marks] b). Find the pure-strategy subgame-perfect equilibria of the game. [6 Marks] c). Derive the mixed strategy Nash equilibrium of the subgame. If players play this mixed Nash equilibrium in the subgame, would 1 player In or Out at the initial mode? [6 Marks] [Hint: Write down the normal-form of the subgame and derive the mixed Nash equilibrium of...
Find all pure strategy Nash Equilibria in the following games a.) Player 2 b1 b2 b3 a1 1,3 2,2 1,2 a2 2,3 2,3 2,1 a3 1,1 1,2 3,2 a4 1,2 3,1 2,3 Player 1 b.) Player 2 A B C D A 1,3 3,1 0,2 1,1 B 1,2 1,2 2,3 1,1 C 3,2 2,1 1,3 0,3 D 2,0 3,0 1,1 2,2 Player 1 c.) Player 2 S B S 3,2 1,1 B 0,0 2,3
Consider the following game: a) Identify all Nash Equilibria (Pure Strategy and Mixed) of this simultaneous game. b) Identify a trigger strategy for each player that sustains (B,B) as an equilibrium in an infinitely repeated game. For what interest(discount) rates will this outcome be sustainable? Firm 2 А B A -5,-5 195,-50 Firm 1 -50,215 45,75
Find all of the pure and mixed strategy Nash equilibrium of the following game: Top 2 Center Right 2,1 8,8 6,5 2,7 2.2 Left 5,10 3,7 2,5 1 Middle Bottom Figure 1: A Random Game
Find the pure and mixed strategy Nash equilibriums for the following game. Show computation. Find the pure and mixed strategy Nash equilibriums for the following game. Show computation. Player 2 RIGHT Player 1 UP DOWN LEFT 11, 12 12,1 15,10 6,0
#2. Find all pure and mixed strategy Nash equilibria (if any) in the following game. U 1,1 0,0 0, -1 S 0,0 1,1 0, -1 D.0.0 0,-1
Find all Nash equilibria, including mixed strategy equilibria: U D LCR | 1,0 | 1, 2 0,1 0,3 0,1 | 2, 0