Instead of choosing Game A or Game B in the first stage, player 1 chooses either game B or directly which action to play in game A. Game L U (10,5) D (5,10) R (0,0) (0,0) Game B: L R U (6,6) (0,0) D (0,0) (0,0) (a) Write the game in extensive form. (b) Solve for all SPNES of the modified game. (c) Do all the SPNEs give intuitively reasonable predictions? Why or why not? (Hint: think about what the modification of the payoff to game A entail for player 2 in that game and how the predictions contrast with the case where the game is chosen first, then the action.)

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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5. Instead of choosing Game A or Game B in the first stage, player 1 chooses either game B or directly which action to
play in game A.
Game
U
D
L
(10,5)
(5,10)
R
(0,0)
(0,0)
:Game B:
L
R
U
(6,6)
(0,0)
D (0,0) (0,0)
(a) Write the game in extensive form.
(b) Solve for all SPNEs of the modified game.
(c) Do all the SPNEs give intuitively reasonable predictions? Why or why not? (Hint: think about what the
modification of the payoff to game A entail for player 2 in that game and how the predictions contrast with the
case where the game is chosen first, then the action.)
Transcribed Image Text:5. Instead of choosing Game A or Game B in the first stage, player 1 chooses either game B or directly which action to play in game A. Game U D L (10,5) (5,10) R (0,0) (0,0) :Game B: L R U (6,6) (0,0) D (0,0) (0,0) (a) Write the game in extensive form. (b) Solve for all SPNEs of the modified game. (c) Do all the SPNEs give intuitively reasonable predictions? Why or why not? (Hint: think about what the modification of the payoff to game A entail for player 2 in that game and how the predictions contrast with the case where the game is chosen first, then the action.)
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