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Monopoly and Price Discrimination in Microeconomics, Ejercicios de Microeconomía

An in-depth analysis of monopolies, their causes, and the profit maximization strategies of monopolists. It also explores the concept of price discrimination and its various forms, including first, second, and third-degree price discrimination. Equations and explanations of key concepts such as the lerner index and social welfare cost.

Tipo: Ejercicios

2017/2018

Subido el 30/05/2018

inahmat
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Microeconomics unit 3 MONOPOLY AND PRICE
DISCRIMINATION
MONOPOLY AND PRICE DISCRIMINATION
1 MONOPOLY: CONCEPT AND CAUSES
A monopoly is a market structure where the unique seller of commodity with no substitute
provides the entire market.
Market:
- Monopolist: price-decider (it has market power and it’s able to affect prices)
- Competitive firms; price-takers
Why does a monopoly appear?
- Ownership: 1 firm has the control of the resources
- Scale economies: 1 firm can supply the whole market at a lower cost
- Patents: It prevents others from using an invention without the consent of the owner
- Network economies: the products value increases with the nuum consumers
- An exclusive franchise serves the market: public utility services
2 THE MONOPOLIST PROFIT MAXIMIZATION
Notation:
- P(q): inverse demand curve
- TC(q): monopolist’s total cost
- MC(q): Marginal cost MC(q)= (q)
δq
δT C
- R(q): Monopolist’s revenue R(q)=P(q)·q
- MR(q): Marginal revenue (q)
δq
δR
PROFIT MAXIMIZATION Π (q) (q)C(q) Π = RTδq
δΠ = 0
The price elasticity ( ) of demand shows the responsiveness of the quantity demanded of a ε
good or service to a change in tits price.
(q)ε = δq/q
δp//p
3 LERNER INDEX
The Lerner Index reflects market power
IL =P(q)
P(q)−MC (q)
- LI=0 No market power
- LI=1 Maximum market power
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DISCRIMINATION

MONOPOLY AND PRICE DISCRIMINATION

1 MONOPOLY: CONCEPT AND CAUSES

A monopoly is a market structure where the unique seller of commodity with no substitute provides the entire market.

Market:

  • Monopolist: price-decider (it has market power and it’s able to affect prices)
  • Competitive firms; price-takers

Why does a monopoly appear?

  • Ownership: 1 firm has the control of the resources
  • Scale economies: 1 firm can supply the whole market at a lower cost
  • Patents: It prevents others from using an invention without the consent of the owner
  • Network economies: the products value increases with the nuum consumers
  • An exclusive franchise serves the market: public utility services

2 THE MONOPOLIST PROFIT MAXIMIZATION

Notation:

  • P(q): inverse demand curve
  • TC(q): monopolist’s total cost
  • MC(q): Marginal cost → MC(q)=^ δδ T Cq ( q )
  • R(q): Monopolist’s revenue →R(q)=P(q)·q
  • MR(q): Marginal revenue → δδ Rq ( q )

Π PROFIT MAXIMIZATION Π( q ) = R ( q ) − T C ( q ) → δΠδ q^ = 0

The price elasticity ( ε) of demand shows the responsiveness of the quantity demanded of a

good or service to a change in tits price.

ε ( q )= (^) δδ pq /// qp

3 LERNER INDEX

The Lerner Index reflects market power

L I =^ P^ ( qP )− ( M Cq )( q )

  • LI=0 →No market power
  • LI=1 →Maximum market power

DISCRIMINATION

4 RESULTS

Monopolists never operate in the inelastic part of the demand curve

If ε ε [0, 1 ], M R = P ( q )·(1 − (^) ε(^1 q ))Will be negative, so it can’t equal MC

In general, a monopolist charges a price that exceeds the marginal cost.

5 SOCIAL WELFARE COST

The main difference between a competitive industry and a monopoly is market power

  • Given the same demand and costs, the monopolist profits exceed the profits in competitive markets by less quantity produced and high prices

7 PRICE DISCRIMINATION

A monopoly engages in price discrimination if it sells identical units of output at different prices

  • It refers to price differences in identical units of a commodity

Conditions for price discrimination:

  • A firm must have market power (be able to decide the prices
  • No arbitrage
  • Market segmentation
    • Characteristics
    • Location
    • Home use us industry use

First-degree price discrimination (perfect price discrimination)

The monopolist sells different units of output at different price and these way differ from person to person

  • The monopolist can distinguish perfectly between consumers, and charges the max price the consumer is willing to pay

Consumers (from + to - willingness to pay)

  • First consumer →willing to pay p1 for q1 units. Monopolist, charges p1 and gets revenue q1·p
  • Second consumer →willing to pay p2 for q2-q1 units. Monopolist charges p2 and gets revenue = p2·(q2-q1)
  • The monopolist will produce until the marginal cost is no longer willing to pay (at least) the marginal cost.

The monopolist obtains the entire consumer surplus and 1st price discrimination maximizes the social welfare.