Reference no: EM131392194
Two software companies sell competing products. These products are substitutes, so that the number of units that either company sells is a decreasing function of its own price and an increasing function of the other product's price. Let P1 be the price and X1 the quantity sold of product 1 and let P2 and X2 be the price and quantity sold of product 2. Then X1 = 1,000(90- .5P1 + .25P2) and X2 = 1,000(90 - .5P2 + .25P1). Each company has incurred a fixed cosr for designing their software and writing the programs, but the cost of selling to an extra user is zero. Therefore each company will maximize its profits by choosing the price that maximizes its total revenue.
a) Write an expression for the toal revenue of company 1, as a function of the its price P1 and the other company's price P2. _____________________________
b) Assume that both companies movesimultaneously to set the price. That is, neither company can observe the other company's price before setting its own. Company 1's best response function BR1(.) is defined so that BR1(P2)is the price for product 1 that maximizes company 1's revenue given that the price of product 2 is P2. With the revenue functions we have specified, the best response function of company 1 is described by the formula _________________
c) Use a similar method to solve for company 2's best response function ___________________
d) Solve for the Nash equilibrium prices ___________________
e) Unlike in the previous questions, suppose that company 1 sets its price first. Company 2 knows the price P1 that company 1 has chosen and it knows that company 1 will not change this price. If company 2 sets its price so as to maximize its revenue given that company 1's price is P1, then what price will company 2 choose? _________________
If company 1 is aware of how company 2 will react to its own choice of price, what price will company 1 choose? ____________________
Given this price for company 1, what price will company 2 choose? ____________________
The minimum point of short-run average variable cost curve
: Briefly explain 2 ways moral hazard is welfare improving if there is price-ceiling in a competitive market. No diagram necessary. The short-run marginal cost curve passes through the minimum point of the short-run average variable cost curve.
|
Explain why consumption of particular energy source
: Which countries consume the most dung and how do the energy statistics in the BP Statistical Review account for it? Explain why consumption of a particular energy source typically ceases long before the stock of supply is exhausted. Factor demands ca..
|
Model likely change in terms of consumption-interest rates
: Why, in a model with no production but two periods does an increase in current taxes (without a concurrent change in government spending) not affect consumption? Explain graphically how such a change effects savings. How would the model likely change..
|
International migration for the migrants
: Draw diagrams to show the gains and losses from international migration for the migrants, and workers and consumers in the sending and receiving countries. Show the effects on producer and consumer surplus and total welfare in each country. Assume th..
|
Two software companies sell competing products
: Two software companies sell competing products. These products are substitutes, so that the number of units that either company sells is a decreasing function of its own price and an increasing function of the other product's price. Write an expressi..
|
What is the effect on economic efficiency
: Show how moving from a lump sum tax to a linear tax affects outcomes in terms of output and work effort. What is the effect on economic efficiency? How does your picture show this? You should use a linear PPF (so that the wage without distortions is ..
|
Economic sanctions
: When are economic sanctions likely to succeed? Why did sanctions succeed in convincing Iran to dismantle, at least for the next 10 years, its nuclear program? If Trump cancels the Iran nuclear agreement, is he likely to get a better deal? Explain.
|
Growth in excess of population growth increase well-being
: Certainly we can nod to the idea that economic growth needs to keep up with population growth to maintain our current standard of living. However, does growth in excess of population growth increase well-being. Others argue that the pursuit of growth..
|
Vertical distance between effective-nominal demand curves
: For a given quantity demanded, the vertical distance between the effective and nominal demand curves shows the amount paid by the individual out-of-pocket and the amount paid by the insurer as per the agreed coinsurance rate. What would happen to the..
|