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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.
Allocation surrounding to accounts An aspect of a lump-sum appropriation that is specific for expenses by particular government models and/or for particular requirements, actions,
The national demand and price for a certain type of energy-efficient exhaust fan are related by p=441-3/7q, where p is the price and q the demand. The price and supply of the exhau
formula for calculating paasches quantity index
Suppose an individual has a lifetime earnings profile and expects to live for 4 Periods: Earnings in Period 1: $30 Earnings in Period 2: $60
1. What type of correlation coefficient would you use to examine the relationship between the following variables? Explain why you have selected the correlation coefficients. A.
October Transactions Date Transaction Description Oct. 1 Began business by making a deposit in a company bank account of $12,000, in exchange for 1,200 shares of $10 par value com
If in a hall there are 18 persons then how many handshakes are possible?
when testing hypothesis is the level of significanc the type error I?
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:
A cognitive psychologists knows that concrete words, which easily evoke images (.e.g. "sunset", "truck") are easier to remember than abstract words, but she would like to know if t
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