NOTE

Elasticity Theory

English translation of the original VNote “Elasticity Theory”, preserving its structure and content.

EconomicsCreated Updated 3 min readhistorical

This is a historical learning note and may contain outdated or incomplete understanding.

1. Demand

1.1. Price Elasticity of Demand

1.1.1. What It Is

1.1.1.1. Elasticity Coefficient

1.1.1.2. Price Elasticity of Demand

    • The numerator is the rate of change in quantity demanded.
    • The denominator is the rate of change in price.

1.1.2. Calculation Methods

1.1.2.1. Point Elasticity

  • Directly substitute the two points.
  • The calculated results differ because different calculation bases are used.

1.1.2.2. Arc Elasticity

  • Calculate using the average of the two points.

1.1.2.3. Arc Elasticity vs. Point Elasticity

  • When the price change is very small, point elasticity is more accurate.

1.1.3. Types

  • There are mainly two types: elastic and inelastic.
    • e > 1: elastic
    • e < 1: inelastic
    • e = 1: unit elastic
    • e = 0: perfectly inelastic
    • e = infinity: perfectly elastic
  • For the same good, demand is elastic at a high price level and inelastic at a low price level.

1.1.4. Factors Affecting Price Elasticity of Demand

  • How necessary the good itself is
    • The more necessary it is, the smaller the elasticity.
  • Degree of substitutability
    • The greater the substitutability, the greater the elasticity.
  • The proportion of total expenditure or total income accounted for by the good
    • The higher the proportion, the greater the elasticity.
  • Uses of the good
    • The more uses it has, the greater the elasticity.
  • Breadth of the category
    • The broader the category, the smaller the elasticity.
  • Length of time
    • In the short term, elasticity is small.

1.1.5. Use

  • The more a purchase requires careful consideration, the greater its elasticity.
  • Pricing
    • Elastic: set a low price.
    • Inelastic: set a high price.

1.2. Income Elasticity of Demand

1.2.1. What It Is

  • The percentage change in quantity demanded caused by a 1% change in consumer income.
  • e > 0: normal goods
    • 0 < e < 1: necessities
    • e > 1: luxury goods
  • e < 0: inferior goods

1.2.2. Use

  • Determine the nature of a good
    • Whether it is a normal good or an inferior good.
  • Compare differences in living standards between two different social groups
    • Both rural and urban households have washing machines. If rural e > 1 while urban 0 < e < 1, this indicates that urban living standards are higher than rural living standards.
  • Adjust the export structure
    • If a country’s economy is prosperous, export goods with a large e.
    • Otherwise, export goods with a small e.
  • Adjust the product structure in a timely manner
    • Same as above.

1.3. Cross Elasticity of Demand

1.3.1. What It Is

    • exy: the change in demand for x caused by a change in the price of y.
    • eyx: the change in demand for y caused by a change in the price of x.

1.3.2. Use

  • Classify goods
    • exy > 0: substitutes
    • exy < 0: complements
    • exy = 0: independent goods
  • Help firms adjust industrial structure and product structure
      • First case: all are substitutes; do not build.
      • Second case: all are complements; build.
      • Third case: two substitute relationships > one complementary relationship; decide according to the situation.
      • Fourth case: two complementary relationships > one substitute relationship; decide according to the situation.
  • Set prices correctly
    • For example, if the elasticity of a razor handle is large, set a low price; if the elasticity of razor blades is small, set a high price.

2. Supply

2.1. Elasticity of Supply

2.1.1. What It Is

  • The change in quantity supplied caused by a change in the price of a good.

2.1.2. Calculation Methods

2.1.2.1. Point Elasticity

2.1.2.2. Arc Elasticity

2.1.3. Types

  • e = infinity: perfectly elastic
  • e = 0: perfectly inelastic
  • e = 1: unit elastic
  • e < 1: inelastic
  • e > 1: elastic

2.1.4. Factors Affecting Elasticity of Supply

  • Difficulty of producing the product
    • Products that are harder to produce have smaller supply elasticity.
  • Magnitude of increases in production cost
    • If production costs increase substantially, supply elasticity is small.
  • Scale of production
    • Large-scale production has smaller supply elasticity.
  • Difficulty of derived supply
    • Derived supply: the supply of intermediate products such as raw materials, machinery and equipment, semi-finished products, and fuel used to produce final products. Put simply, it means raw materials.
    • The harder it is to obtain derived supply, the smaller the supply elasticity.
  • Time factor
    • In the immediate period, supply elasticity is small.

2.1.5. Use

  • A small boat is easier to turn -> e is large.

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