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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.
For a normal distribution why do we calculate the probability of a range of numbers instead of the probability of a single number?
Importance
The skewness is a measure of asymmetry and it is positive at 0.15 meaning that it is greater than zero which reveals that the tail extends to the right slightly indicating the dist
Your division has been allocated $15M for capital projects for the coming year. You've been able to identify five potential projects, as outlined in the table below, each of which
In a quaternaryphase shift keying (QPSK) communications system, one of four equally probable symbols s0,...,s3 is transmitted in T seconds. If symbol si is sent, a waveform x(t,si)
At a tennis tournament a statistician keeps track of every serve. The statistician reported that the mean serve speed of a particular player was 102 miles per hour (mph) and the st
explain different types of assets..
Ask question #Minim um 100 words accepted#
conceptof probality, theoretical, distribution, normal,binomial and poisson
what is the Texas state gemstone
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