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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.
The caffeine is expected to lower reaction time by an average of 30 msec. Scores on the simulator task for the regular population (without caffeine) form a normal distribution with
Singer & Mcmann are partners in business. Singer''s original capital was $40,000 and Mcmann''s was $60.000. They agree to salaries of $12,000 and $18,00 respectively and 10% inte
concept of Depreciation briefly. The primary idea of the Depreciation is to create off the value of worried resources by a certain amount as per prescribed. Devaluation is incur
Individual Music scores Mathematics scores Angela 2 8 Arthur 6 3 Peter 4 9 Mike 5 7 Barbara 7 2 Jane 7 3 Jean 2 9 Ruth 3 8 Alan 5 6 Theresa 4 7 Assess the data using a Correlation
Define Aggressive Growth Fund: A mutual fund which is primary investment intention is substantial capital gains. The return & principal value of mutual funds fluctuate with changes
I) Introduction 1) Topic (s) 2) Survey Question 3) Type of Sampling 4) Why? II) Calculations 1) Data Analysis (Charts, sample mean, sample standard deviation) 2) Probability 3) E
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what are the funtions of quantitative techniques
explanation
The following are actual data showing the latitude of a sample of major cities in the northern hemisphere and their mean high annual temperature. latitude(X)
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