Chapter 4 Slide 1 a) How would an increase in the price of gasoline affect a consumer’s budget line? (twoo good gasoline and clothes) b) Think about consumers response to the rise in gasoline prices Chapter 4 Slide 2 Last time… nTheory of consumer behavior lHow rational consumers decide on the optimal combination of goods to consume with their limited budget in order to maximize their total utility at any given time. l l Chapter 4 Slide 3 Last time… lEvery consumer behaves rationally: Consumers try to get the "most for their money" to maximize their total utility l lEvery consumer has different preferences: Consumers have clear cut preferences and can determine how much marginal utility they get from consuming more units of a product l lEvery consumer is under a budget constraint: All consumers face a budget constraint, therefore must make decisions about what they buy based on their limited budget l lEvery product has a price: Every product has a price, so consumers must weigh their purchasing decisions based on their marginal utility from consumption and the price of the goods they consume l l Chapter 4 Slide 4 Exercise 2 lIC with perfect substitutes l Chapter 4 Slide 5 Exercise 3 lIC with perfect complements l Chapter 4 Slide 6 Exercise XY l nIncome of I $800 per month, the price of food is PX $20 per unit, and the price of clothing is PY $40 per unit. nBudget line? n Chapter 4 Slide 7 Exercise XY Chapter 4 Slide 8 Interior optimum l nThe optimum occurs at a point where the budget line is tangent to the indifference curve. In other words, at an interior optimal basket, the consumer chooses commodities so that the ratio of the marginal utilities (i.e., the marginal rate of substitution) n n n nat an interior optimal basket, the consumer chooses commodities so that the marginal utility per dollar spent on each commodity is the same. n Chapter 4 Slide 9 Corner point l nInterior optimum= consumer purchases positive amounts of both goods nHowever, in reality, though, a consumer might not purchase positive amounts of all available goods (some consumers may not spend money on tobacco or alcohol) nSolution= optimal basket at a corner point, that is, at a basket along an axis, where one or more of the goods is not purchased at all (the budget line may not be tangent to an indifference curve at the optimal basket). n n n Chapter 4 Slide 10 Corner point Chapter 4 Slide 11 Exercise XY l nutility function U(x, y)=xy +10x and income=10. Px = $1 and a price of clothing Py = $2. nOptimal basket? n Chapter 4 Slide 12 Exercise XY n Chapter 4 Slide 13 Individual Demand: Effect of a Price Change Food (units per month) Clothing (units per month) 4 5 6 U2 U3 A B D U1 4 12 20 Three separate indifference curves are tangent to each budget line. Assume: •I = $20 •PC = $2 •PF = $2, $1, $.50 10 Chapter 4 Slide 14 Price-Consumption Curve Individual Demand: Effect of a Price Change Food (units per month) Clothing (units per month) 4 5 6 U2 U3 A B D U1 4 12 20 The price-consumption curve connect all of the baskets that are optimal as the price of food changes (price of clothing and income are constant) Chapter 4 Slide 15 Chapter 4 Slide 16 Individual Demand: Effect of a Price Change n1) The level of utility that can be attained changes as we move along the curve. n2) At every point on the demand curve, the consumer is maximizing utility by satisfying the condition that the MRS of food for clothing equals the ratio of the prices of food and clothing. The Individual Demand Curve: 2 Important Properties Chapter 4 Slide 17 Individual Demand: Effect of a Price Change Food (units per month) Price of Food H E G $2.00 4 12 20 $1.00 $.50 Demand Curve •E: Pf /Pc = 2/2 = 1 = MRS •G: Pf /Pc = 1/2 = .5 = MRS •H:Pf /Pc = .5/2 = .25 = MRS When the price falls: Pf /Pc & MRS also fall Chapter 4 Slide 18 Individual Demand: Effect of Income Changes Food (units per month) Clothing (units per month) An increase in income, with the prices fixed, causes consumers to alter their choice of market basket. Income-Consumption Curve 3 4 A U1 5 10 B U2 D 7 16 U3 Assume: Pf = $1 Pc = $2 I = $10, $20, $30 Chapter 4 Slide 19 Individual Demand: Effect of Income Changes Food (units per month) Price of food An increase in income, from $10 to $20 to $30, with the prices fixed, shifts the consumer’s demand curve to the right. $1.00 4 D1 E 10 D2 G 16 D3 H Chapter 4 Slide 20 Chapter 4 Slide 21 Individual Demand: Effect of Income Changes nIncome Changes lWhen the income-consumption curve has a positive slope, the quantity demanded increases with income; the income elasticity of demand is positive. The good is a normal good. lWhen the income-consumption curve has a negative slope, the quantity demanded decreases with income; the income elasticity of demand is negative. The good is an inferior good. l Normal Good vs. Inferior Good Chapter 4 Slide 22 Individual Demand: Effect of Income Changes with an Inferior Good Hamburger (units per month) Steak (units per month) 15 30 U3 C Income-Consumption Curve …but hamburger becomes an inferior good when the income consumption curve bends backward between B and C. 10 5 20 5 10 A U1 B U2 Both hamburger and steak behave as a normal good, between A and B... Chapter 4 Slide 23 Individual Demand: Effect of Income Changes nEngel Curves lEngel curves relate the quantity of good consumed to income. lIf the good is a normal good, the Engel curve is upward sloping. lIf the good is an inferior good, the Engel curve is downward sloping. Chapter 4 Slide 24 Engel Curves: Normal Good Food (units per month) 30 4 8 12 10 Income ($ per month) 20 16 0 Engel curve slopes upward for a normal good. Chapter 4 Slide 25 Engel Curves: Inferior Good Engel curve is backward bending for inferior goods. Inferior Normal Food (units per month) 30 4 8 12 10 Income ($ per month) 20 16 0 Chapter 4 Slide 26 Individual Demand: Substitutes and Complements 1)Substitute goods: an increase (decrease) in the price of one leads to an increase (decrease) in the quantity demanded of the other. E.g. movie tickets and video rentals 2)Complements: an increase (decrease) in the price of one leads to a decrease (increase) in the quantity demanded of the other. E.g. gasoline and motor oil 3)Two goods are independent when a change in the price of one good has no effect on the quantity demanded of the other. Chapter 4 Slide 27 Income and Substitution Effects nA fall in the price of a good has two effects: nSubstitution Effect: consumers will tend to buy more of the good that has become relatively cheaper, and less of the good that is now relatively more expensive. nIncome Effect: consumers experience an increase in real purchasing power when the price of one good falls. Chapter 4 Slide 28 Substitution Effect lThe substitution effect is the change in an item’s consumption associated with a change in the price of the item, with the level of utility held constant. lWhen the price of an item declines, the substitution effect always leads to an increase in the quantity of the item demanded. Chapter 4 Slide 29 Income Effect lThe income effect is the change in an item’s consumption due to an increase in purchasing power, with the price of the item held constant. lIf income increases, the quantity demanded for the product may increase or decrease. Even with inferior goods, the income effect is rarely large enough to outweigh the substitution effect. Chapter 4 Slide 30 Income and Substitution Effects: Normal Good Food (units per month) O Clothing (units per month) R F1 S C1 A U1 The income effect, EF2, ( from D to B) keeps relative prices constant but increases purchasing power. Income Effect C2 F2 T U2 B When the price of food falls, consumption increases by F1F2 as the consumer moves from A to B. E Total Effect Substitution Effect D The substitution effect,F1E, (from point A to D), changes the relative prices but keeps utility (satisfaction) constant. Chapter 4 Slide 31 Food (units per month) O R Clothing (units per month) F1 S F2 T A U1 E Substitution Effect D Total Effect As food is an inferior good in this example, the income effect is negative. However, the substitution effect is larger than the income effect. B Income Effect U2 Income and Substitution Effects: Inferior Good Chapter 4 Slide 32 Exercise XY lSuppose a consumer’s preferences between two goods (x and y) can be represented by the utility function U=xy, Income is 72, Py=1, Px1=9 and Px2=4 lcompute MUx and MUy lFind the numerical values of the income and substitution effects on food consumption and graph the results l Chapter 4 Slide 33 Chapter 4 Slide 34 From Individual to Market Demand: Determining the Market Demand Curve n1 6 10 16 32 n2 4 8 13 25 n3 2 6 10 18 n4 0 4 7 11 n5 0 2 4 6 Price Individual A Individual B Individual C Market ($) (units) (units) (units) (units) Chapter 4 Slide 35 Summing to Obtain a Market Demand Curve Quantity 1 2 3 4 Price 0 5 5 10 15 20 25 30 DB DC Market Demand DA The market demand curve is obtained by summing the consumer’s demand curves Chapter 4 Slide 36 Market Demand: Elasticity nElasticity of Demand lRecall: Price elasticity of demand measures the percentage change in the quantity demanded resulting from a l 1% change in price. Chapter 4 Slide 37 Price Elasticity and Consumer Expenditure n Demand If Price Increases, If Price Decreases, n Expenditures: Expenditures: Inelastic (Ep <1) Increase Decrease Unit Elastic (Ep = 1) Are unchanged Are unchanged Elastic (Ep >1) Decrease Increase Chapter 4 Slide 38 Market Demand: Elasticity nPoint Elasticity of Demand lPoint elasticity measures elasticity at a point on the demand curve. lFor large price changes (e.g. 20%), the value of the elasticity will depend upon where the price and quantity lie on the demand curve. lProblem: we may need to calculate price elasticity over a portion of the demand curve rather than at a single point. The price and quantity used as the base will alter the price elasticity of demand. Chapter 4 Slide 39 Market Demand: Elasticity nAssume lAs price increases from $8 to $10, the quantity demanded falls from 6 to 4 lPercent change in price equals: $2/$8 = 25% or $2/$10 = 20% lPercent change in quantity equals: -2/6 = -33.33% or -2/4 = -50% nElasticity equals: -33.33/25 = -1.33 or -50/20 = -2.5 nWhich one is correct? l Point Elasticity of Demand (An Example) Chapter 4 Slide 40 Market Demand: Elasticity nArc Elasticity of Demand lArc elasticity calculates elasticity over a range of prices lIts formula is: Chapter 4 Slide 41 Market Demand: Elasticity nArc Elasticity of Demand (An Example) Chapter 4 Slide 42 An Example: Aggregate Demand For Wheat nThe demand for US wheat is comprised of domestic demand and export demand. nThe domestic demand for wheat is given by: lQDD = 1700 - 107P nThe export demand for wheat is given by: lQDE = 1544 - 176P nDomestic demand is relatively price inelastic (-0.2), while export demand is more price elastic (-0.4). l Chapter 4 Slide 43 C D Export Demand A B Domestic Demand Total world demand is the horizontal sum of the domestic demand AB and export demand CD. F Total Demand E The Aggregate Demand For Wheat Wheat(million bushels/yr.) Price ($/bushel) 0 2 4 6 8 10 12 14 16 18 20 1000 2000 3000 4000 Chapter 4 Slide 44 Consumer Surplus nConsumer Surplus: the difference between the maximum amount a consumer is willing to pay for a good and the amount actually paid. nCombining consumer surplus with the aggregate profits that producers obtain we can evaluate: n 1) Costs and benefits of different market structures n 2) Public policies that alter the behavior of consumers and firms Chapter 4 Slide 45 The consumer surplus of purchasing 6 concert tickets is the sum of the surplus derived from each one individually. Consumer Surplus 6 + 5 + 4 + 3 + 2 + 1 = 21 Consumer Surplus Rock Concert Tickets Price ($ per ticket) 2 3 4 5 6 13 0 1 14 15 16 17 18 19 20 Market Price Chapter 4 Slide 46 Demand Curve Consumer Surplus Actual Expenditure Consumer Surplus for the Market Demand Consumer Surplus Rock Concert Tickets Price ($ per ticket) 2 3 4 5 6 13 0 1 14 15 16 17 18 19 20 Market Price Chapter 4 Slide 47 Network Externalities nUp to this point we have assumed that people’s demands for a good are independent of one another. nIn fact, a person’s demand may be affected by the number of other people who have purchased the good. If this is the case, a network externality exists. Chapter 4 Slide 48 Positive Network Externalities nPositive network externality: the quantity of a good demanded by a consumer increases in response to an increase in purchases by other consumers. nThe Bandwagon Effect lThis is the desire to be in style, to have a good because almost everyone else has it, or to indulge in a fad. lThis is the major objective of marketing and advertising campaigns (e.g. toys, clothing). Chapter 4 Slide 49 Demand Positive Network Externality: Bandwagon Effect Quantity (thousands per month) Price ($ per unit) D20 20 40 60 80 100 D40 D60 D80 D100 The market demand curve is found by joining the points on the individual demand curves. It is relatively more elastic. Chapter 4 Slide 50 Demand Positive Network Externality: Bandwagon Effect Quantity (thousands per month) Price ($ per unit) D20 20 40 60 80 100 D40 D60 D80 D100 Pure Price Effect $20 Bandwagon Effect Suppose the price falls from $30 to $20. With no bandwagon effect, Qd would increase to 48,000 only. But as more people buy the good, it becomes stylish to own it and Qd increases further. $30 48 Chapter 4 Slide 51 Negative Network Externalities nIf the network externality is negative, a snob effect exists = the desire to own exclusive or unique goods. nThe quantity demanded of a “snob” good is higher the fewer the people who own it. Negative Network Externality: Snob Effect Quantity (thousands per month) Price ($ per unit) Demand 2 D2 $30,000 $15,000 14 Pure Price Effect Originally demand is D2, when consumers think 2000 people have bought a good. 4 6 8 D4 D6 D8 However, if consumers think 4,000 people have bought the good, demand shifts from D2 to D4 and its snob value has been reduced. Negative Network Externality: Snob Effect Quantity (thousands per month) 2 4 6 8 Demand is less elastic and as a snob good, its value is greatly reduced if more people own it. Sales decrease as a result. Examples: Rolex watches and long lines at the ski lift. Price ($ per unit) D2 $30,000 $15,000 14 D4 D6 D8 Demand Pure Price Effect Snob Effect Net Effect