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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.
Question: (a) Suppose that 100 tires made by Bridgestone last on average 21,819 miles with a standard deviation of 1,295 miles. Test the null hypothesis µ = 22, 000 miles again
How to solve problems of index number fixed based method
Two components, A and B, are used as follows: normal usage - 50 per week each minimum usage - 25 per week each maximum usage - 75 per week re-order quantity - A:300; B:500 re-order
Consider the two events A and B with P(A) = 0.4 and P(B) = 0.3. (a) If A and B are independent then compute the probability that Both A and B happen
One measure of the risk or volatility of an individual stock is the standard deviation of the total return (capital appreciation plus dividends) over several periods of time. Altho
#question.d.
A researcher is interested in comparing tastiness of different parts of cheese in grilled cheese sandwiches. The researcher expects that Cheddar cheese grilled sandwiches are rate
LO.1 (Activity analysis) The Raleigh plant manager of Allentown Corp. has noticed the plant frequently changes the schedule on its production line. He has gathered the following in
If the mean of first 5 no. is 60 and mean of last 5 no. is 55 then what is the 5th no.
when the closing inventory is understated, the profit for the period will
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