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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.
Continuous probability distributions: Procurement and working capital analysis – Normally distributed random variables and their transformation Procedures The data is measure
example for pure and impure spectrum
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Barker Company has a single product called a Zet. The company normally produces and sells 80,000 Zets each year at a selling price of $40 per unit. The company’s unit costs at this
3. In a management class of 100 students’ three languages are offered as an additional subject viz. Hindi, English and Kannada. There are 28 students taking Hindi, 26 taking Hindi
give an example for scaling technique
The following data shows marks obtained by 40 students in a Statistics test. 75 99 72 54 25 40 65 32 69 10 85 48 52 80 63 64 35 62 51 71 67 57 95 74 56 69 61 49 45 63 39
is about deductions
To study what fraction of houses for sale in Victoria has a finished basement, a researcher selected a random sample of 20 houses that were on the market. It was found that 11 of t
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