Consider a Centipede game below. Player 1 moves first and he can choose either L or R. If player 1 chooses R; then Player 2 moves choosing either L or R and if he chooses R then Player 1 moves choosing either L or R and then finally player 2 moves. 1 R 2 R 1 R 2 9,9 L L L 2,0 0,4 6,2 4,8 a. Represent this game in a normal form b. Find all the Pure Strategy Nash equilibrium or equilibria c. Find all the Sub-game Perfect Nash Equilibrium of this game

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Consider a Centipede game below. Player 1 moves first and he can choose either L or R. If player
1 chooses R; then Player 2 moves choosing either L or R and if he chooses R then Player 1 moves
choosing either L or R and then finally player 2 moves.
1 R 2
R 1 R 2
R 9,9
L
2,0
0,4
6,2
4,8
a. Represent this game in a normal form
b. Find all the Pure Strategy Nash equilibrium or equilibria
c. Find all the Sub-game Perfect Nash Equilibrium of this game
Transcribed Image Text:Consider a Centipede game below. Player 1 moves first and he can choose either L or R. If player 1 chooses R; then Player 2 moves choosing either L or R and if he chooses R then Player 1 moves choosing either L or R and then finally player 2 moves. 1 R 2 R 1 R 2 R 9,9 L 2,0 0,4 6,2 4,8 a. Represent this game in a normal form b. Find all the Pure Strategy Nash equilibrium or equilibria c. Find all the Sub-game Perfect Nash Equilibrium of this game
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