WEEK 1: Monopoly and Monopsony Flashcards
What are Monopolies?
Only supplier of a good for which there’s no close substitute
If monopolies are price makers then what does this mean for the overall market and the monopolist?
- Monopoly output is the market output
- Monopoly demand curve is the market demand curve
- Monopolists given market demand can set own price
- Monopolists set price above MC to maximise profit since demand downward sloping
How do monopolies maximise profit?
Set price of the good or total amount of quantity to produce (output) so the MR = MC
What the profit function of a monopolist?
Chosing Q at:
π(Q) = TR (Q) - TC(Q) where:
- TR (Q) revenue function
- TC(Q) cost function
What are the necessary conditions for profit maximisation (1st and 2nd order)?
1ST ORDER CONDITION:
dπ (Q)/dQ = dR(Q)/dQ - dC(Q*)/dQ = 0
2ND ORDER CONDITION:
d2π(Q)/dQ2 = d2R(Q)/dQ2 - d2C(Q*)/dQ2 <0
SEE NOTES FOR CLEARER VIEW
What does a firm’s MR curve depend on?
Depends on its demand curve
MR also downward sloping and lies below D
What is the MR function if p(Q) is the inverse demand function?
Inverse demand function shows: Price received for selling Q
Function is:
MR(Q) = dR(Q)/dQ = dp(Q)Q/ dQ = p(Q) dQ?dQ + dp (Q)/dQ Q = P(Q) + dp(Q)/dQ Q
SEE NOTES FOR CLEARER VIEW
What does the marginal revenue depend on?
Inverse demand curve’s height (price) and elasticity of demand
What is the derivation of the elasticity of demand?
ε = dQ/dp x P/Q <0
How do you calculate the MR function in terms of elasticity?
MR = p + dp/dQ Q = p + p dp/dQ Q/p = p (1 + 1/ (dQ/dp)(p/Q)) = P (1 + 1/ε)
EXAMPLE IN NOTES
SEE IN NOTES
Where is the Monopolist’s profit of maximising choice of output?
Found where MR = MC
At the profit maximising output set P according to inverse demand
What is Market Power?
The ability of a firm to charge a price above MC and earn a positive profit
How do you calculate market power?
As market power is related to PED:
MR = p(1 + 1/ε) = MC
Rewrite as: P/MC = 1/1+ (1/ε)
Thus ratio of price to MC depends only on elasticity of demand at the profit maximising quantity
What is the Lerner Index
Index of firm’s market power. Also another way to examine how elasticity affects monopoly price relative to MC
Ranges from 0-1
As it gets closer to 1 firm has more market power (and less elastic demand)