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NotesEconomicsTopic 2.5Income and cross-price elasticity
Back to Economics Topics
2.5.32 min read

Income and cross-price elasticity

IB Economics โ€ข Unit 2

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Contents

  • Income elasticity of demand (YED)
  • Cross-price elasticity of demand (XED)
  • Practical applications

๐Ÿ’ต Income Elasticity of Demand (YED)

Definition: YED = % change in quantity demanded รท % change in income. It measures how demand responds to income changes.

The sign tells you the type of good

  • YED > 0 (positive) โ†’ Normal good (demand rises with income)
  • YED > 1 โ†’ Luxury (demand rises MORE than income โ€” e.g. designer clothes)
  • 0 < YED < 1 โ†’ Necessity (demand rises LESS than income โ€” e.g. bread)
  • YED < 0 (negative) โ†’ Inferior good (demand FALLS with income โ€” e.g. instant noodles)
The sign matters for YED (unlike PED). A positive YED = normal good. A negative YED = inferior good. Luxuries have a high positive YED (>1). Necessities have a low positive YED (0-1).

๐Ÿ”— Cross-Price Elasticity of Demand (XED)

Definition: XED = % change in quantity demanded of Good A รท % change in price of Good B. It measures the relationship between two goods.

The sign tells you the relationship

  • XED > 0 (positive) โ†’ Substitutes (price of B up โ†’ demand for A up โ€” consumers switch)
  • XED < 0 (negative) โ†’ Complements (price of B up โ†’ demand for A down โ€” used together)
  • XED โ‰ˆ 0 โ†’ Unrelated goods (no meaningful relationship)

The size of the XED tells you how CLOSELY related the goods are. A high positive XED means very close substitutes (e.g. Coke and Pepsi). A small positive XED means weak substitutes.

If the price of PlayStation rises by 10% and demand for Xbox rises by 15%, XED = +15%/10% = +1.5. This is positive, so they are substitutes. The high value shows they are close substitutes.

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๐Ÿข Why YED and XED Matter

YED applications

  • Firms predict how demand will change as the ECONOMY grows or shrinks
  • Luxury goods firms benefit more from economic growth (high YED)
  • Necessity firms are more stable during recessions (low YED)
  • Developing countries: as income grows, demand shifts from inferior goods to normal goods

XED applications

  • Firms monitor competitors' prices (high XED = close substitutes = price war risk)
  • Complementary pricing โ€” printers are cheap, ink is expensive (XED is negative between them)
  • Competition regulators use XED to define markets (closer substitutes = same market)
In evaluation questions, link elasticity to stakeholders: How does this affect consumers? Producers? Government? And consider short-run vs long-run elasticity differences.

Related Economics Topics

Continue learning with these related topics from the same unit:

2.1.1The law of demand
2.1.2Determinants of demand
2.1.3Movements vs shifts of demand
2.2.1The law of supply
View all Economics topics

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IB Exam Questions on Income and cross-price elasticity

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How Income and cross-price elasticity Appears in IB Exams

Examiners use specific command terms when asking about this topic. Here's what to expect:

Define

Give the precise meaning of key terms related to Income and cross-price elasticity.

AO1
Describe

Give a detailed account of processes or features in Income and cross-price elasticity.

AO2
Explain

Give reasons WHY โ€” cause and effect within Income and cross-price elasticity.

AO3
Evaluate

Weigh strengths AND limitations of approaches in Income and cross-price elasticity.

AO3
Discuss

Present arguments FOR and AGAINST with a balanced conclusion.

AO3

See the full IB Command Terms guide โ†’

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2.5.2PED and total revenue
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Price elasticity of supply (PES)2.6.1

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