ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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Plz answer a and b 

= 10 – q. There are infinitely many firms that could enter
Consider a market with demand p(g)
this market, numbered i = 1, 2,..., o. The game proceeds in two stages.
1 The firms simultaneously decide whether to enter the market or not. At the end of this
stage, all firms observe which firms entered.
2 The firms that entered simultaneously choose their quantities.
Each firm that enters must pay a fixed entry cost of F = 2. Each firm that enters then may produce
any quantity at zero cost. The firms' products are all identical.
We will find a subgame perfect equilibrium in this game using backward induction.
a) Suppose that a finite number N< o has entered, and now stage 2 starts. Firm i is one of
the firms that has entered. If it knows that the other firms that have entered will produce
q-i (a vector of N-1 quantities), what is its best response?
b) Considering only stage 2, find a symmetric Nash equilibrium among the N firms that en-
tered.
c) In the Nash equilibrium you found above, what are the post-entry profits of each individual
firm that entered, as a function of N?
d) Now consider stage 1. Suppose every firm knows that if N firms enter in stage 1, then in
stage 2 those firms will play the Nash equilibrium you characterized above. Also suppose
every firm knows that Firms 1 through N* will enter, and Firms N* +1 through oo will not
enter. If every firm is making an optimal entry decision, what is N*?
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Transcribed Image Text:= 10 – q. There are infinitely many firms that could enter Consider a market with demand p(g) this market, numbered i = 1, 2,..., o. The game proceeds in two stages. 1 The firms simultaneously decide whether to enter the market or not. At the end of this stage, all firms observe which firms entered. 2 The firms that entered simultaneously choose their quantities. Each firm that enters must pay a fixed entry cost of F = 2. Each firm that enters then may produce any quantity at zero cost. The firms' products are all identical. We will find a subgame perfect equilibrium in this game using backward induction. a) Suppose that a finite number N< o has entered, and now stage 2 starts. Firm i is one of the firms that has entered. If it knows that the other firms that have entered will produce q-i (a vector of N-1 quantities), what is its best response? b) Considering only stage 2, find a symmetric Nash equilibrium among the N firms that en- tered. c) In the Nash equilibrium you found above, what are the post-entry profits of each individual firm that entered, as a function of N? d) Now consider stage 1. Suppose every firm knows that if N firms enter in stage 1, then in stage 2 those firms will play the Nash equilibrium you characterized above. Also suppose every firm knows that Firms 1 through N* will enter, and Firms N* +1 through oo will not enter. If every firm is making an optimal entry decision, what is N*?
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