Problem 3. Consider the following game with three firms. First, firms 1 and 2 si- multaneously...
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Problem 3. Consider the following game with three firms. First, firms 1 and 2 si- multaneously choose quantities 9₁ and 92 respectively. After observing firm 1 and 2's quantities, firm 3 chooses its quantity 93. There is no production cost and the inverse demand function is p = 12 (91 +92 +93). (a) Compute the SPNE of this game. (b) Give an example of Nash equilibrium s* with s = 4 and s₂ = 6, that is not subgame perfect. Problem 3. Consider the following game with three firms. First, firms 1 and 2 si- multaneously choose quantities 9₁ and 92 respectively. After observing firm 1 and 2's quantities, firm 3 chooses its quantity 93. There is no production cost and the inverse demand function is p = 12 (91 +92 +93). (a) Compute the SPNE of this game. (b) Give an example of Nash equilibrium s* with s = 4 and s₂ = 6, that is not subgame perfect.
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Related Book For
Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba
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