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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.
A. Complete the correlation matrix table. B. Which variable (s) has the highest correlation coeffieient which is not a perfect correlation? C. Which variable (s) has the lowest cor
It is a numerical average, as equal to the sum of terms in a given series divided by the number of terms in that series is the mean which is also called the expected value.
Characteristics of index number
Accounting Standards in Europe countries: Europe has seen the maximum progress in having developed its accounting standards. In 2000, a document was published by the Europe
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Momentum and Energy Statement 1: If there is a definite force there is a definite displacement, which means that work is done definitely by the force. And Statement 2: The wor
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a millemeter ammeter of resistance 5m amp is to be used to measure a potential difference of 50volt.calculate the multiplier resistance
Limitation of time series analysis
19. Welnor Industrial Gas Corporation supplies acetylene and other compressed gases to industry. Data regarding the store''s operations follow: • Sales are budgeted at $320,000 fo
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