T2 1.1: Monopoly Flashcards
Define a monopoly?
An industry structure where there is only one firm in the market, a monopolist
2 points on how a monopolist can set prices?
- price setter, not price taker
- price they set is constrained by the demand curve
What is a monopolists profit function?
Max(wrt y): r(y)-c(y)
What is the optimality condition?
at the optimal level of output, marginal cost (MC) equals marginal revenue (MR)
What happens to revenue if output increases?
β’ Sells more -> gains the price multiplied by the new units of output: pΞπ¦
β’ Increasing output REDUCES the price -> loses the difference in price multiplied by the units of output that were already being sold: yΞp (with Ξπ < 0)
β’ Unlike the competitive case, there is no gain in market share from reducing price.
tf: Ξπ = pΞπ¦ +π¦Ξπ
Using Ξπ = pΞπ¦ +π¦Ξπ, what is marginal revenue?
Ξπ/Ξπ¦ = pΞπ¦/Ξπ¦ + π¦Ξπ/Ξπ¦ = π+π¦Ξπ/Ξπ¦
What is PED?
A measure of the responsiveness of demand for a good when its price changes
See my notes and show i can prove optimality condition in term of elasticity
NOW
Where will a monopolist operate in terms of demand elasticity?
They will operate only where demand is elastic tf absolute value of it>1
What is the markup price and how is it determined?
Firms set output so MC=MR, then charge the maximum possible price for that output level
How do we know a monopolist will always charge a price above MC?
Since they operate where absolute value of elasticity is greater than 1, tf 1/value is less than one; using equation in notes for markup, we see that must be tf greater than 1 so when multiplied by MC for price, shows price also must be greater than MC
See diagram
Bottom of my notes p1
Where is the profit maximising output level? (see diagram)
The profit maximising output level is found where the mark-up adjusted MC curve crosses the demand curve.
What is the Lerner index?
An index measuring the degree of a firmβs monopoly power
Prove the lerner index is equal to 1/|Ξ΅(y)|
see slides