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There are two firms competing in quantity. Firm 1 and 2 set their quantities supplied, q1 and q2, respectively. The production costs are zero. The market price is given by
where a ∈ (0,1/2) and b ≥0. Note that the inverse demand function is kinked at the point (1 - a, a).
This is a simple one-shot game. The firms simultaneously set their quantities. The objective of each firm is to maximize its profit, that is,
1. Derive the pure strategy Nash equilibrium and the equilibrium profits when b = 0.
Ans. 0.5 each
2. Derive the pure strategy Nash equilibrium and the equilibrium profits when b > 0. Note that two pure strategy Nash equilibria may exist.
Ans. All or nothing
3. Dose an increase in b benefit the two firms? This means that you should explain whether or not at increase in the demand size benefits the firm.
difference between histogram and historigram
what are its objectives and limitation?
a ball is projected so as to attain a maximum range. Find the maximum height attained if initial velocity is u
Unfortunately the 10 questions are timed and when I send them to you, I MUST have back in 3-1/2 to 4 hours. Can you help?
Why is an increase in inventory shown as a negative amount? A rise in stock indicates that a company has purchased more goods than it has sold. Increasing stock requires a money
Question 1: (a) 75 percent of all people in a population are vaccinated against a par-ticular disease. During an epidemic, the probability that a vaccinated person is infected
Accounting is an art of recording Yes, we recognize upon that declaration because if we evaluate the primary features of the accounting program we will find that primary three p
Precis worked examples
purpose?
Company hopes to improve customer satisfaction, setting a goal of no more than 5% negative comments. A random survey of 350 customers found only 14 with complaints. Does this provi
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