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Inelastic Demand

A condition in which quantity demanded changes proportionally less than a given price change, indicating consumers are relatively insensitive to price.

Last reviewedDarrin Baines IP Ltd

Concept Architecture

Concept

Theoretically, Inelastic Demand describes a situation in which the quantity demanded of a good or service changes proportionately less than the change in its price. It is a fundamental concept in consumer demand theory and reflects relatively weak consumer responsiveness to price changes. In health economics, demand is frequently inelastic for essential healthcare services, emergency care, life-saving medicines, and treatments with few or no substitutes.

Mathematically, inelastic demand is defined by the own-price elasticity of demand being less than one in absolute value. The elasticity coefficient measures the percentage change in quantity demanded resulting from a one per cent change in price. Inelastic demand is represented by a relatively steep demand curve, indicating that price changes have comparatively small effects on utilisation.

In practice, inelastic demand is estimated using healthcare utilisation, prescribing, insurance claims, or survey data through econometric demand models. Estimates of inelastic demand are used to evaluate copayment policies, pharmaceutical pricing, taxation, reimbursement reforms, and the likely impact of price changes on healthcare expenditure and access.


Purpose

Used to quantify limited consumer responsiveness to price changes, supporting pricing policy, reimbursement analysis, demand forecasting, and economic evaluation.


Mathematical Formulae

Primary Formula

E_d = |%?Q_d / %?P|

Inelastic demand occurs when:

E_d < 1

where:

  • E_d = own-price elasticity of demand
  • %?Q_d = percentage change in quantity demanded
  • %?P = percentage change in price

Supporting Formulae

Arc price elasticity:

E_d = |[(Q? ? Q?) / ((Q? + Q?) / 2)] � [(P? ? P?) / ((P? + P?) / 2)]|

Related Mathematical Methods

  • Price elasticity estimation
  • Demand modelling
  • Econometric regression
  • Consumer demand analysis
  • Demand forecasting

Example

The price of an essential medicine increases from �50 to �55, a 10% increase. Demand decreases from 10,000 prescriptions to 9,600 prescriptions, a 4% decrease.

E_d = |-4% / 10%| = 0.40

Since the elasticity is less than one, demand is inelastic.


Excel Implementation

FunctionExample FormulaHealth Economics Application
=((New-Old)/Old)=(C2-B2)/B2Calculates the percentage change in quantity demanded.
=((New-Old)/Old)=(E2-D2)/D2Calculates the percentage change in price.
ABS=ABS(((C2-B2)/B2)/((E2-D2)/D2))Calculates the absolute value of own-price elasticity.
LINEST=LINEST(LN(Quantity),LN(Price),TRUE,TRUE)Estimates price elasticity from observed healthcare demand data.

VBA (Optional)

Automate estimation of own-price elasticities across healthcare services and classify demand as inelastic, unit elastic, or elastic.


Sources

  • Varian HR. Intermediate Microeconomics: A Modern Approach.
  • Pindyck RS, Rubinfeld DL. Microeconomics.
  • Folland S, Goodman AC, Stano M. The Economics of Health and Health Care.
  • Zweifel P, Breyer F, Kifmann M. Health Economics.
  • 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 inelastic demand?

    A condition in which quantity demanded changes proportionally less than a given price change, indicating consumers are relatively insensitive to price.

    Source: Varian 2014

  • What is an example of inelastic demand in health?

    Demand is inelastic where a good has few substitutes and its purchase cannot easily be delayed, so buyers keep buying much the same amount even when the price rises. Life-sustaining treatment illustrates this, since a patient needing insulin or emergency surgery has little scope to cut back or shop elsewhere when the price changes. The absence of an alternative, and the urgency of the need, are what make demand insensitive to price. Ringel and colleagues (2002) review low price responsiveness in health care.

    Source: Ringel et al. 2002

  • What makes demand inelastic?

    Demand tends to be inelastic when the good is a necessity with few substitutes, so buyers cannot readily do without it or switch away; when it takes a small share of the budget, so a price change matters little; and when buyers have little time to adjust. Habitual or urgent purchases are also inelastic. Each of these limits the buyer's ability or inclination to change quantity in response to price, producing an elasticity less than one.

    Source: Varian 2014

  • How does inelastic demand affect revenue?

    When demand is inelastic, a price rise reduces quantity proportionally less than the price increases, so total revenue rises, while a price cut lowers revenue. Revenue therefore moves in the same direction as price under inelastic demand. This is why sellers of goods with inelastic demand can raise revenue by increasing price, and it underlies the effectiveness of taxes on inelastic goods, which raise revenue without greatly reducing the quantity bought.

    Source: Varian 2014

  • Why is much health care demand inelastic?

    Much health care demand is inelastic because care is often a necessity with few substitutes, especially when illness is serious, so patients continue to seek it even as its price rises. Insurance further weakens the response to price by shielding patients from the full cost at the point of use, and limited information leaves patients reliant on providers. These features make the quantity of care demanded relatively insensitive to price, though some discretionary care is more elastic.

    Source: Varian 2014

  • How does inelastic demand affect health policy?

    Inelastic demand affects health policy because patients respond weakly to price, so co-payments and price signals have limited power to reduce use of necessary care, and may deter needed as well as unnecessary care. It also means providers or manufacturers with market power over goods in inelastic demand can raise prices with little loss of sales, strengthening the case for price regulation. Recognising where demand is inelastic helps predict the effect of pricing measures on the use of care.

    Source: Varian 2014

Trust Record

Verified by Dr Darrin Baines

British health economist

Professional identity: darrinbaines.org

Verification date: 10 Sep 2025

Content version: 1.0.0

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Term code
HE-EE-ME-029

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