Consider the following sequential game. We want to find subgame perfect Nash equilibrium (SPNE) by using backward induction. Tasty Pizza Veggie BBQ Prawn Pizza Jazz Pizza Jazz Pizza Jazz 7 meats Seabod Jazz 7 meats Seafood Jazz 7 meats Seafbod Jazz (18,11) (8,8) (9,9) (20,12) (16,13) (5,1) (17,17) (16,19) (18,17) (a) Find the equilibrium strategy of Pizza Jazz: • the optimal action of Pizza Jazz at its left node is 7 meats • the optimal action of Pizza Jazz at its middle node is Seafood • the optimal action of Pizza Jazz at its right node is Seafood (b) The equilibrium strategy of Tasty Pizza is Veggie Therefore, SPNE is: • Tasty Pizza plays Veggie • Pizza Jazz plays ( 7 meats Seafood Seafood

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
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Problem 8.1P
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E1
Consider the following sequential game. We want to find subgame perfect Nash equilibrium (SPNE)
by using backward induction.
Tasty Pizza
Veggie
BBQ
Prawn
Pizza Jazz
Pizza Jazz
Pizza Jazz
7 meats Seafpod
Jazz
7 meats Seapod
Jaz
7 meats Seafood
Jazz
(18,11)
(8,8)
(9,9)
(20.12) (16.13)
(5,1)
(17,17) (16,19)
(18,17)
(a) Find the equilibrium strategy of Pizza Jazz:
• the optimal action of Pizza Jazz at its left node is 7 meats
• the optimal action of Pizza Jazz at its middle node is Seafood
• the optimal action of Pizza Jazz at its right node is
Seafood
(b) The equilibrium strategy of Tasty Pizza is Veggie
Therefore, SPNE is:
• Tasty Pizza plays Veggie
• Pizza Jazz plays (7 meats
Seafood
Seafood
Transcribed Image Text:Consider the following sequential game. We want to find subgame perfect Nash equilibrium (SPNE) by using backward induction. Tasty Pizza Veggie BBQ Prawn Pizza Jazz Pizza Jazz Pizza Jazz 7 meats Seafpod Jazz 7 meats Seapod Jaz 7 meats Seafood Jazz (18,11) (8,8) (9,9) (20.12) (16.13) (5,1) (17,17) (16,19) (18,17) (a) Find the equilibrium strategy of Pizza Jazz: • the optimal action of Pizza Jazz at its left node is 7 meats • the optimal action of Pizza Jazz at its middle node is Seafood • the optimal action of Pizza Jazz at its right node is Seafood (b) The equilibrium strategy of Tasty Pizza is Veggie Therefore, SPNE is: • Tasty Pizza plays Veggie • Pizza Jazz plays (7 meats Seafood Seafood
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