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Monopoly Pricing

The pricing behaviour of a firm with monopoly power, setting price above marginal cost to maximise profit and reduce quantity supplied.

Last reviewedDarrin Baines IP Ltd

Concept Architecture

Concept

Theoretically, Monopoly Pricing is the pricing strategy adopted by a monopolist that possesses sufficient market power to influence the market price by controlling output. Under monopoly, the firm maximises profit by selecting the quantity at which marginal revenue equals marginal cost and then charging the highest price consumers are willing to pay according to the demand curve. In health economics, monopoly pricing is particularly relevant to patented pharmaceuticals, proprietary medical technologies, and healthcare providers with substantial market power.

Mathematically, monopoly pricing is determined by solving the firm's profit maximisation problem. Because the monopolist faces the market demand curve, marginal revenue lies below price. The profit-maximising output occurs where marginal revenue equals marginal cost, and the corresponding price is obtained from the demand function.

In practice, monopoly pricing is analysed using demand estimation, cost functions, and market data to evaluate pricing behaviour, market power, and welfare effects. Health economists apply monopoly pricing models when assessing pharmaceutical regulation, patent protection, price negotiations, reimbursement policies, and competition law within healthcare markets.


Purpose

Used to determine the profit-maximising price and output for firms with market power, supporting analyses of pharmaceutical pricing, market regulation, reimbursement policy, and welfare.


Mathematical Formulae

Primary Formula

Profit-maximising condition:

MR = MC

where:

  • MR = marginal revenue
  • MC = marginal cost

For a linear demand function:

P = a ? bQ

the corresponding marginal revenue is:

MR = a ? 2bQ

Supporting Formulae

Profit:

� = PQ ? C(Q)

where:

  • = profit
  • P = price
  • Q = quantity
  • C(Q) = total cost

Lerner Index:

L = (P ? MC) / P = ?1 / E_d

where:

  • L = Lerner Index
  • E_d = price elasticity of demand

Related Mathematical Methods

  • Profit maximisation
  • Marginal analysis
  • Demand estimation
  • Elasticity analysis
  • Welfare analysis
  • Optimisation

Example

A patented medicine has the demand function:

P = 200 ? 2Q

Marginal revenue is:

MR = 200 ? 4Q

Marginal cost is constant at �40.

Setting:

MR = MC

200 ? 4Q = 40

Q = 40

The monopoly price is:

P = 200 ? 2(40) = �120

The monopolist supplies 40 units at a price of �120.


Excel Implementation

FunctionExample FormulaHealth Economics Application
Goal SeekGoal SeekDetermines the output where marginal revenue equals marginal cost.
=a-(2*b*Q)=200-(4*B2)Calculates marginal revenue from a linear demand function.
=a-(b*Q)=200-(2*B2)Calculates the monopoly price from the demand curve.
SolverSolverMaximises profit subject to demand and cost constraints.

VBA (Optional)

Automate monopoly pricing analysis by solving for profit-maximising output, price, profit, and welfare under alternative demand and cost assumptions.


Sources

  • Varian HR. Intermediate Microeconomics: A Modern Approach.
  • Pindyck RS, Rubinfeld DL. Microeconomics.
  • Tirole J. The Theory of Industrial Organization.
  • Folland S, Goodman AC, Stano M. The Economics of Health and Health Care.
  • Drummond MF, et al. Methods for the Economic Evaluation of Health Care Programmes. Oxford University Press.

Library

Publications

1
  • Book

    The Economics of Health and Health Care — Folland, Goodman, Stano & Danagoulian, 9th Edition ed., 2024 (Routledge)

    The market-leading general health economics textbook, giving comprehensive coverage of health economics through core economic themes and balancing theory, empirical evidence and public policy. The ninth edition adds chapters on health disparities and pandemic economics.

Frequently Asked Questions (6)

  • What is monopoly pricing?

    The pricing behaviour of a firm with monopoly power, setting price above marginal cost to maximise profit and reduce quantity supplied.

    Source: Varian 2014

  • What is the deadweight loss from monopoly pricing?

    By holding output below the competitive level to keep the price high, a monopolist prevents some trades that would have benefited both buyer and seller, since there are customers willing to pay more than the cost of serving them who go unserved. The value of those forgone trades is lost to no one's gain, a deadweight loss to society. This loss, rather than the transfer from buyers to the firm, is the efficiency cost of monopoly pricing. Gravelle and Rees (2004) set out this welfare loss.

    Source: Gravelle & Rees 2004

  • How does a monopolist set its price?

    A monopolist sets its price by choosing the output at which marginal revenue equals marginal cost, then charging the price the demand curve allows for that output. Because selling an extra unit requires lowering the price on all units, the monopolist's marginal revenue is below the price, so the profit-maximising output falls short of the competitive level and the corresponding price exceeds marginal cost. The firm balances the gain from a higher price against the sales lost as price rises.

    Source: Varian 2014

  • Why does monopoly pricing reduce output?

    Monopoly pricing reduces output because the firm maximises profit by keeping the price high, and a higher price means fewer units are bought along the demand curve. Since the monopolist gains from restricting supply to sustain a high price, it produces less than the quantity at which price equals marginal cost, the competitive level. Some buyers willing to pay more than the cost of production are therefore not served, which is the reduction in output that monopoly pricing entails.

    Source: Varian 2014

  • What is price discrimination under monopoly?

    Price discrimination is the practice by which a monopolist charges different prices to different buyers for the same good, according to their willingness to pay, rather than a single price to all. By doing so, the firm can capture more of the surplus and, in some forms, sell to buyers who would not pay the single price, raising output. It requires the ability to separate buyers and prevent resale. Price discrimination changes both the profit and the welfare effects of monopoly pricing.

    Source: Varian 2014

  • How does monopoly pricing apply to pharmaceuticals?

    Monopoly pricing applies clearly to patent-protected pharmaceuticals, where the patent grants a temporary monopoly and the firm sets price well above the marginal cost of manufacture to recover research costs and maximise profit. Because demand for effective medicines is often inelastic, prices can be high, raising spending and limiting access. This is why many systems regulate drug prices, negotiate them, or assess value, and why patents expire, after which competition from generics drives prices toward cost.

    Source: Varian 2014

Trust Record

Verified by Dr Darrin Baines

British health economist

Professional identity: darrinbaines.org

Verification date: 11 Sep 2025

Content version: 1.0.0

Canonical Identity

Term code
HE-EE-ME-041

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