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Market Demand


Individual demand curves may be aggregated
(summed up) to form the market demand curve.

This process is known as horizontal summation.

Individual demand curves may also be aggregated
algebraically.



                                                  4-1
Figure 4-16: Generating Market
Demand from Individual Demands




                              4-2
Market Demand


What happens if all consumers are
identical?

Suppose there n consumers with the
demand curve given by P = a – bQi. What
will the market demand curve be?



                                          4-3
Figure 4-18: Market Demand with
      Identical Consumers




                              4-4
Price Elasticity of Demand


Price elasticity of demand is the percentage
change in quantity demanded as a result of a
1% change in price.

Price elasticity is always negative, why?




                                            4-5
Price Elasticity of Demand


ε < -1  elastic
ε > -1  inelastic
ε = -1  unit elastic

ε = ΔQ/Q
   ΔP/P



                              4-6
Figure 4-19: Three Categories
      of Price Elasticity




                                4-7
A Geometric Interpretation of Price
            Elasticity

   ε = ΔQ.P
        ΔP Q

   ΔP  slope of the demand curve.
   ΔQ

   Point slope method : ε = P.   1 1
                Q slope

                                       4-8
Figure 4-20: The Point-Slope Method




                                4-9
A Geometric Interpretation of Price
            Elasticity

   Linear market demand curve gives rise to 3
   important properties of elasticities :
     Price elasticity is different at every point along
     the demand curve
     Price elasticity is never positive
     Price elasticity is inversely related to the slope
     of the demand curve.



                                                          4-10
Figure 4-21: Two Important Polar
             Cases




                               4-11
Figure 4-22: Elasticity is Unit-Free




                                  4-12
Elasticity and Total Expenditure


 If the price of a product changes, how will
 the total amount spent on the product be
 affected?

 Use price elasticity of demand to answer
 this question.



                                               4-13
Figure 4-23: The Effect on Total
Expenditure of a Reduction in Price




                                4-14
Elasticity and Total Expenditure


 General rules for small price reductions :
   Total revenue increases if and only if the
   absolute value of price elasticity is more than 1.
   Total revenue decreases if and only if the
   absolute value of price elasticity is less than 1.




                                                    4-15
Figure 4-24: Demand and Total
         Expenditure




                                4-16
Determinants of Price Elasticity of
            Demand

  Factors that govern the size of the price
  elasticity of demand :
    Substitutability
    Budget share
    Direction of income effect
    Time




                                              4-17
Figure 4-26: Price Elasticity Is
Greater in the Long Run than in the
             Short Run




                                 4-18
The Dependence of Market Demand
           on Income

   The quantity of a good demanded depends
   not only on its price but also on the person’s
   income.

   Engel curves at the market level relate the
   quantity demanded to the average income
   level in the market.


                                                 4-19
Figure 4-27: The Engel Curve for
              Food
           of A and B




                               4-20
Figure 4-28: Market Demand
Sometimes Depends on the
   Distribution of Income




                             4-21
Figure 4-29: An Engel Curve
    at the Market Level




                              4-22
Figure 4-30: Engel Curves for
  Different Types of Goods




                                4-23
Income Elasticity of Demand


Income elasticity of demand measures the
degree to which consumers respond to a
change in their incomes by buying more or
less of a particular good.

η = ΔQ/Q
   ΔY/Y


                                            4-24
Income Elasticity of Demand


Necessities    :0<η<1
Luxuries       :η>1
Inferior Goods : η < 0

η = 1  straight Engel curve passing
        through the origin.



                                       4-25
Income Elasticity of Demand


An easier interpretation : η = Y.ΔQ
                 Q ΔY

When distinguishing between the Engel
curves for necessities and luxuries, one
needs to compare the slopes of the Engel
curves with the corresponding rays.


                                           4-26
Cross-Price Elasticities of Demand


  Cross-price elasticity of demand is the
  percentage change in quantity demanded of
  one good caused by a 1 percent change in
  the price of another good.

  єxz = ΔQx/Qx
      ΔPz/Pz

  Compliments : єxz < 0
  Substitutes : єxz > 0                       4-27

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Chapter 4 part_2_copy1

  • 1. Market Demand Individual demand curves may be aggregated (summed up) to form the market demand curve. This process is known as horizontal summation. Individual demand curves may also be aggregated algebraically. 4-1
  • 2. Figure 4-16: Generating Market Demand from Individual Demands 4-2
  • 3. Market Demand What happens if all consumers are identical? Suppose there n consumers with the demand curve given by P = a – bQi. What will the market demand curve be? 4-3
  • 4. Figure 4-18: Market Demand with Identical Consumers 4-4
  • 5. Price Elasticity of Demand Price elasticity of demand is the percentage change in quantity demanded as a result of a 1% change in price. Price elasticity is always negative, why? 4-5
  • 6. Price Elasticity of Demand ε < -1  elastic ε > -1  inelastic ε = -1  unit elastic ε = ΔQ/Q ΔP/P 4-6
  • 7. Figure 4-19: Three Categories of Price Elasticity 4-7
  • 8. A Geometric Interpretation of Price Elasticity ε = ΔQ.P ΔP Q ΔP  slope of the demand curve. ΔQ Point slope method : ε = P. 1 1 Q slope 4-8
  • 9. Figure 4-20: The Point-Slope Method 4-9
  • 10. A Geometric Interpretation of Price Elasticity Linear market demand curve gives rise to 3 important properties of elasticities : Price elasticity is different at every point along the demand curve Price elasticity is never positive Price elasticity is inversely related to the slope of the demand curve. 4-10
  • 11. Figure 4-21: Two Important Polar Cases 4-11
  • 12. Figure 4-22: Elasticity is Unit-Free 4-12
  • 13. Elasticity and Total Expenditure If the price of a product changes, how will the total amount spent on the product be affected? Use price elasticity of demand to answer this question. 4-13
  • 14. Figure 4-23: The Effect on Total Expenditure of a Reduction in Price 4-14
  • 15. Elasticity and Total Expenditure General rules for small price reductions : Total revenue increases if and only if the absolute value of price elasticity is more than 1. Total revenue decreases if and only if the absolute value of price elasticity is less than 1. 4-15
  • 16. Figure 4-24: Demand and Total Expenditure 4-16
  • 17. Determinants of Price Elasticity of Demand Factors that govern the size of the price elasticity of demand : Substitutability Budget share Direction of income effect Time 4-17
  • 18. Figure 4-26: Price Elasticity Is Greater in the Long Run than in the Short Run 4-18
  • 19. The Dependence of Market Demand on Income The quantity of a good demanded depends not only on its price but also on the person’s income. Engel curves at the market level relate the quantity demanded to the average income level in the market. 4-19
  • 20. Figure 4-27: The Engel Curve for Food of A and B 4-20
  • 21. Figure 4-28: Market Demand Sometimes Depends on the Distribution of Income 4-21
  • 22. Figure 4-29: An Engel Curve at the Market Level 4-22
  • 23. Figure 4-30: Engel Curves for Different Types of Goods 4-23
  • 24. Income Elasticity of Demand Income elasticity of demand measures the degree to which consumers respond to a change in their incomes by buying more or less of a particular good. η = ΔQ/Q ΔY/Y 4-24
  • 25. Income Elasticity of Demand Necessities :0<η<1 Luxuries :η>1 Inferior Goods : η < 0 η = 1  straight Engel curve passing through the origin. 4-25
  • 26. Income Elasticity of Demand An easier interpretation : η = Y.ΔQ Q ΔY When distinguishing between the Engel curves for necessities and luxuries, one needs to compare the slopes of the Engel curves with the corresponding rays. 4-26
  • 27. Cross-Price Elasticities of Demand Cross-price elasticity of demand is the percentage change in quantity demanded of one good caused by a 1 percent change in the price of another good. єxz = ΔQx/Qx ΔPz/Pz Compliments : єxz < 0 Substitutes : єxz > 0 4-27