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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.
Define best appraise To make and calculate of value of a resource, for example a good financial commitment or financial commitment resource, particularly of the value of property
t distribution has proportionately smaller areas in its tail than normal distribution. is it true?
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what is the largest coefficient of (1+3x)^4 is ?
Tension: When a sequence, place, cable or a man is presented tight, the ends of the sequence or place (or wire) pull on whatever systems are connected to them towards the sequence.
Isotopes Elements having same atomic number Z, but different A mass number for example 126C, 146C and 11H 21H, 31H are isotopes of carbon and hydrogen. Isotones Elements havi
the probability that you win a game is 0.3. if you play the game 20 times. what is the probability that you will win at least 8 times?
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Problem 1 . Let X 0 ;X 1 ;X 2 . . . be a Markov chain with state space f1; 2g and transition probabilities given as follows: p 11 = 0:3; p 12 = 0:7; p 21 = 0:5; p 22 = 0:5:
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