R. GLENN HUBBARD ANTHONY PATRICK O’BRIEN MICROECONOMICS FIFTH EDITION GLOBAL EDITION © Pearson Education Limited 2015 CHAPTER CHAPTER 10 Consumer Choice and Behavioral Economics Chapter Outline and Learning Objectives 10.1 Utility and Consumer Decision Making 10.2 Where Demand Comes From 10.3 Social Influences on Decision Making 10.4 Behavioral Economics: Do People Make Their Choices Rationally? Appendix: Using Indifference Curves and Budget Lines to Understand Consumer Behavior © Pearson Education Limited 2015 2 of 59 Consumer Decision Making In our study of consumers so far, we have looked at what they do, but not why they do what they do. Economics is all about the choices that people make; a better understanding of those choices furthers our understanding of economic behavior. At the same time, we need to know the limits of our understanding. This chapter will examine what we know, and what we can’t explain, about how consumers behave. © Pearson Education Limited 2015 3 of 59 Utility and Consumer Decision Making 10.1 LEARNING OBJECTIVE Define utility and explain how consumers choose goods and services to maximize their utility. © Pearson Education Limited 2015 4 of 59 Rationality and Its Implications As a starting point, economists assume that consumers are rational: making choices intended to make themselves as well-off as possible. We examine these choices when consumers make their decisions about how much of various items to buy, given their scarce resources (income). Facing this budget constraint, how do people choose? Budget constraint: The limited amount of income available to consumers to spend on goods and services. © Pearson Education Limited 2015 5 of 59 Measuring Happiness Economists refer to the enjoyment or satisfaction that people obtain from consuming goods and services as utility. Utility cannot be directly measured; but for now, suppose that it could. What would we see? • As people consumed more of an item (say, pizza) their total utility would change: • The amount by which it would change when consuming an extra unit of a good or service is called the marginal utility. • Generally expect to see the first items consumed produce the most marginal utility, so that subsequent items gave diminishing marginal utility. Law of diminishing marginal utility: The principle that consumers experience diminishing additional satisfaction as they consume more of a good or service during a given period of time. © Pearson Education Limited 2015 6 of 59 Pizza on Super Bowl Sunday The table shows the total utility you might derive from eating pizza on Super Bowl Sunday. The numbers, in utils, represent happiness: higher is better. A graph of this utility is initially rising quickly, then more slowly; and eventually, it turns downward (as you get sick of pizza). Figure 10.1 © Pearson Education Limited 2015 Total and marginal utility from eating pizza on Super Bowl Sunday 7 of 59 Pizza on Super Bowl Sunday—continued The increase in utility from one slice to the next is the marginal utility of a slice of pizza. We can calculate marginal utility for every slice of pizza… … then graph the results. The graph of marginal utility is decreasing, showing the Law of Diminishing Marginal Utility directly. Figure 10.1 © Pearson Education Limited 2015 Total and marginal utility from eating pizza on Super Bowl Sunday 8 of 59 Allocating Your Resources Given unlimited resources, a consumer would consume every good and service up until the maximum total utility. But resources are scarce; consumers have a budget constraint. The concept of utility can help us figure out how much of each item to purchase. Each item purchased gives some (possibly negative) marginal utility; by dividing by the price of the item, we obtain the marginal utility per dollar spent; that is, the rate at which that item allows the consumer to transform money into utility. © Pearson Education Limited 2015 9 of 59 Utility from Pizza and Coke Suppose you can now obtain utility by eating pizza and drinking Coke. The table gives the total and marginal utility derived from each activity. Number of Slices of Pizza Total Utility from Eating Pizza Marginal Utility from the Last Slice Number of Cups of Coke 0 0 — 0 0 — 1 20 20 1 20 20 2 36 16 2 35 15 3 46 10 3 45 10 4 52 6 4 50 5 5 54 2 5 53 3 6 51 −3 6 52 −1 Table 10.1 © Pearson Education Limited 2015 Total Marginal Utility from Utility from Drinking Coke the Last Cup Total utility and marginal utility from eating pizza and drinking Coke 10 of 59 Marginal Utility from Pizza and Coke Suppose that pizza costs $2 per slice, and Coke $1 per cup. Marginal utility of pizza per dollar is just marginal utility of pizza divided by the price, $2. Similarly for Coke: divide by $1. (1) Slices of Pizza (2) Marginal Utility (MUPizza) (4) Cups of Coke (5) Marginal Utility (MUCoke) 1 20 10 1 20 20 2 16 8 2 15 15 3 10 5 3 10 10 4 6 3 4 5 5 5 2 1 5 3 3 6 −3 −1.5 6 −1 −1 Table 10.2 © Pearson Education Limited 2015 Converting marginal utility to marginal utility per dollar 11 of 59 Rule of Equal Marginal Utility per Dollar Spent Suppose the marginal utility per dollar obtained from pizza was greater than that obtained from Coke. Then you should eat more pizza, and drink less Coke. This implies the Rule of Equal Marginal Utility per Dollar Spent: consumers should seek to equalize the “bang for the buck”. Some combinations satisfying this rule are given below. Combinations of Pizza and Coke with Equal Marginal Utilities per Dollar Marginal Utility Per Dollar (MU/P) Total Spending Total Utility 1 slice of pizza and 3 cups of Coke 10 $2 + $3 = $5 20 + 45 = 65 3 slices of pizza and 4 cups of Coke 5 $6 + $4 = $10 46 + 50 = 96 4 slices of pizza and 5 cups of Coke 3 $8 + $5 = $13 52 + 53 = 105 Table 10.3 © Pearson Education Limited 2015 Equalizing marginal utility per dollar spent 12 of 59 Optimizing Your Consumption of Pizza and Coke The actual combination to purchase would depend on your budget constraint: • With $5 to spend, you would purchase 1 slice of pizza and 3 cups of Coke. • With $10 to spend, you would purchase 3 slices of pizza and 4 cups of Coke. In each case, you seek to exhaust your budget, since spending additional money gives more utility. Combinations of Pizza and Coke with Equal Marginal Utilities per Dollar Marginal Utility Per Dollar (MU/P) Total Spending Total Utility 1 slice of pizza and 3 cups of Coke 10 $2 + $3 = $5 20 + 45 = 65 3 slices of pizza and 4 cups of Coke 5 $6 + $4 = $10 46 + 50 = 96 4 slices of pizza and 5 cups of Coke 3 $8 + $5 = $13 52 + 53 = 105 Table 10.3 © Pearson Education Limited 2015 Equalizing marginal utility per dollar spent 13 of 59 Conditions for Maximizing Utility This gives us two conditions for maximizing utility: 1. Satisfy the Rule of Equal Marginal Utility per Dollar Spent: MU Pizza MU Coke PPizza PCoke 2. Exhaust your budget: Spending on pizza + Spending on Coke = Amount available © Pearson Education Limited 2015 14 of 59 What If We “Disobey” the Rule? It should be clear that failing to spend all your money will result in less utility—each item you buy increases our utility. But what if you buy a combination which doesn’t satisfy the Rule of Equal Marginal Utility per Dollar? For example, you could buy 4 slices of pizza and 2 cups of Coke for $10. From Table 10.1, this would give you 52 + 35 = 87 utils, less than the 96 utils that you get from 3 slices and 4 cups. Marginal utility per dollar from 4th slice: 3 utils per dollar Marginal utility per dollar from 2nd cup: 15 utils per dollar Since you get so much more marginal utility per dollar from Coke, you ought to drink more Coke—and indeed, that would increase utility. © Pearson Education Limited 2015 15 of 59 What If Prices Change? If the price of pizza changes from $2 to $1.50, then the Rule of Equal Marginal Utility per Dollar Spent will no longer be satisfied. You must adjust your purchasing decision. We can think of this adjustment in two ways: 1. You can afford more than before; this is like having a higher income. 2. Pizza has become cheaper relative to Coke. We refer to the effect from 1. as the income effect, and the effect from 2. as the substitution effect. © Pearson Education Limited 2015 16 of 59 1. Income Effect The income effect of a price change refers to the change in the quantity demanded of a good that results from the effect of the change in price on consumer purchasing power, holding all other factors constant. We know that some goods are normal (goods that we consume more of as our income rises) and some are inferior (goods that we consume less of as our income rises). If pizza is a normal good, the income effect of its price decreasing will cause you to consume more pizza. If pizza is an inferior good, the income effect of its price decreasing will cause you to consume less pizza. © Pearson Education Limited 2015 17 of 59 2. Substitution Effect The substitution effect of a price change refers to the change in the quantity demanded of a good that results from a change in price making the good more or less expensive relative to other goods, holding constant the effect of the price change on consumer purchasing power. To isolate the substitution effect, we can think of your income decreasing so you can just afford your previous combination. If you had $10 before, you bought 3 slices of pizza (3 x $2.00) and 4 cups of Coke (4 x $1.00). If pizza cost $1.50, $8.50 would allow you to purchase the same combination of items: 3 x $1.50 + 4 x $1.00. © Pearson Education Limited 2015 18 of 59 2. Substitution Effect—continued But this would no longer maximize utility, since the Rule of Equal Marginal Utility per Dollar Spent is not satisfied: 𝑴𝑼𝑷𝒊𝒛𝒛𝒂 𝑶𝒍𝒅 𝑷𝒓𝒊𝒄𝒆𝑷𝒊𝒛𝒛𝒂 𝟏𝟎 𝟐 𝟏𝟎 𝟏. 𝟓𝟎 𝑴𝑼𝑷𝒊𝒛𝒛𝒂 𝑵𝒆𝒘 𝑷𝒓𝒊𝒄𝒆𝑷𝒊𝒛𝒛𝒂 𝑴𝑼𝑪𝒐𝒌𝒆 = 𝑶𝒍𝒅 𝑷𝒓𝒊𝒄𝒆𝑪𝒐𝒌𝒆 𝟓 = 𝟏 𝟓 > 𝟏 𝑴𝑼𝑪𝒐𝒌𝒆 > 𝑶𝒍𝒅 𝑷𝒓𝒊𝒄𝒆𝑪𝒐𝒌𝒆 To restore equality, consumption of pizza should rise (decreasing the marginal utility of pizza), and/or consumption of Coke should fall (increasing the marginal utility of pizza) Consuming more pizza and less Coke is the substitution effect. © Pearson Education Limited 2015 19 of 59 New Optimal Consumption A possible new combination of items is 4 slices of pizza and 4 cups of Coke, costing 4 x $1.50 + 4 x $1.00 = $10.00. The marginal utility per dollar is not quite equal, but it is as close as we can get without allowing fractional goods. Number of Slices of Pizza Marginal Utility from Last Slice (Mupizza) 1 20 13.33 1 20 20 2 16 10.67 2 15 15 3 10 6.67 3 10 10 4 6 4 4 5 5 5 2 1.33 5 3 3 6 −3 — 6 −1 — Number of Cups of Coke Table 10.5 © Pearson Education Limited 2015 Marginal Utility from Last Cup (Mucoke) Adjusting optimal consumption to a lower price of pizza 20 of 59 Summarizing the Income and Substitution Effects When price . . . consumer purchasing power . . . The income effect causes quantity demanded to . . . The substitution effect causes the opportunity cost of consuming a good to . . . decreases, increases. increase, if a normal good, and decrease, if an inferior good. decrease when the price decreases, which causes the quantity of the good demanded to increase. increases, decreases. decrease, if a normal good, and increase, if an inferior good. increase when the price increases, which causes the quantity of the good demanded to decrease. Table 10.4 © Pearson Education Limited 2015 Income effect and substitution effect of a price change 21 of 59 Where Demand Curves Come From 10.2 LEARNING OBJECTIVE Use the concept of utility to explain the law of demand. © Pearson Education Limited 2015 22 of 59 Deriving Your Demand Curve for Pizza We can use our two observations of consumer behavior (with pizza prices of $2.00 and $1.50) to trace out your demand curve for pizza: Figure 10.2 © Pearson Education Limited 2015 Deriving the demand curve for pizza 23 of 59 Deriving the Market Demand Curve for Pizza Each individual has a demand curve for pizza. By adding the individual demand at each price, we obtain the market demand for pizza. © Pearson Education Limited 2015 Figure 10.3 Deriving the market demand curve from individual demand 24 of 59 curves Making the Connection Could a Demand Curve Slope Upward? For a demand curve to be upward sloping, the good would have to be an inferior good making up a very large portion of consumers’ budgets with a greater income effect than substitution effect. A 2006 economic experiment revealed that for poor regions in China, decreases in the price of rice led to some very poor people consuming less rice. A good with an upward-sloping demand curve is known as a Giffen good. © Pearson Education Limited 2015 25 of 59 Social Influences on Decision Making 10.3 LEARNING OBJECTIVE Explain how social influences can affect consumption choices. © Pearson Education Limited 2015 26 of 59 Why Would Social Influences Matter for Consumption? In most standard economic models, people are assumed to make choices independently of others. Such models sometimes incorrectly predict consumer behavior, by ignoring the social aspects of decision-making. “The utility from drugs, crime, going bowling… depends on whether friends and neighbors take drugs, commit crime, go bowling…” Gary Becker and Kevin Murphy in Social Economics: Market Behavior in a Social Environment © Pearson Education Limited 2015 27 of 59 Examples of Social Influences on Demand Celebrity endorsements Firms use celebrity endorsements regularly. They work. Consumers might believe: • “The celebrity knows more about the product than I do”; or • “By buying this product, I will become more like the celebrity.” Network externalities Network externalities are situations in which the usefulness of a product increases with the number of consumers who use it. Examples: Facebook; Blu-ray discs; AT&T cell phone service Network externalities might result in market failure, if enough people become locked into inferior products. Example: QWERTY keyboards are designed to be slower to use than alternatives, but almost all keyboards are QWERTY now. © Pearson Education Limited 2015 28 of 59 Examples of Social Influences on Demand—cont. Fairness People like to be treated fairly, and prefer to treat each other fairly even if it is bad for them financially. Example: People tend to tip their servers, even if they never plan to go back to the restaurant. Businesses learn from this, and attempt to appear fair even when it will cost them profits. Example: The NFL sells tickets to the Super Bowl at $850-$1250 (2013 prices); but these tickets get resold for much more. Surveys reveal that NFL fans would consider it unfair if the NFL raised ticket prices; instead, fans believe the current system of randomly distributing tickets to applicants is fairer. The NFL forgoes potential profit to avoid alienating fans. © Pearson Education Limited 2015 29 of 59 Testing Fairness in the Laboratory Ultimatum game Pairs are given $100. Person A proposes a split of the money, say $75 for him, and $25 for person B. If B accepts, each get the money. If B rejects, neither gets any. “Optimal” play: B should accept any split, hence A should offer B very little. Actual play: Non-even splits are often rejected; and people anticipate this, tending to offer 50/50 splits. Dictator game Same game, except B cannot reject. “Optimal” play: give B nothing! Actual play: 50/50 splits are still common! © Pearson Education Limited 2015 30 of 59 Testing Fairness in the Laboratory—conclusions The results from these laboratory games suggest that people strongly value fairness. However it may be the perception of fairness that people value: • Subjects might be concerned about the experimenter or other subjects thinking they were selfish, if they kept a large proportion for themselves. • When subjects are asked to perform tasks to earn the money, they are more likely to keep as much as they believe they earned. Conclusion: Care needs to be taken in interpreting artificial laboratory experiments. © Pearson Education Limited 2015 31 of 59 Making the Connection What’s Up with “Fuel Surcharges”? As oil prices rose in 2008, many firms introduced “fuel surcharges” to make their cost-related price increases appear fair to consumers. In 2011, demand for air travel was starting to rise. This would suggest prices would also rise. But decreases in the price of oil allowed supply to expand. The unnecessary “fuel surcharges” remained, as companies would not want to explain why prices didn’t fall when the “fuel surcharges” were removed. © Pearson Education Limited 2015 32 of 59 Behavioral Economics: Do People Make Their Choices Rationally? 10.4 LEARNING OBJECTIVE Describe the behavioral economics approach to understanding decision making. © Pearson Education Limited 2015 33 of 59 Behavioral Economics In recent years, some economists have started studying situations in which people make choices that do not appear to be economically rational. This field of study is known as behavioral economics. Three common mistakes made by consumers are: 1. Taking into account monetary costs but ignoring nonmonetary opportunity costs 2. Failing to ignore sunk costs 3. Being unrealistic about their own future behavior © Pearson Education Limited 2015 34 of 59 1. Ignoring Nonmonetary Opportunity Costs People often treat monetary and non-monetary costs differently, even though they are both opportunity costs. Example: People who won the NFL lottery for Super Bowl tickets were asked the following two questions: 1. If you had not won the lottery, would you have been willing to pay $3000 for the ticket? 2. If, after winning the lottery, someone had offered you $3000 for your ticket, would you have sold it? Traditional economists believe that if you answer “no” to the first question, you should answer “yes” to the second; both questions rely on whether you value the ticket at $3000 or more. © Pearson Education Limited 2015 35 of 59 Super Bowl Ticket Question Results People did not answer those questions similarly; far from it: • 94% said they would not have bought the ticket for $3000; but • 92% said they would not sell the ticket for $3000 either! Behavioral economists refer to this difference to the endowment effect: the tendency of people to be unwilling to sell a good they already own even if they are offered a price that is greater than the price they would be willing to pay to buy the good if they didn’t already own it. In simpler terms, people don’t like losing what they have; they consider losing an object to hurt them more than gaining a similar object would help them. © Pearson Education Limited 2015 36 of 59 2. Failing to Ignore Sunk Costs A sunk cost is a cost that has already been paid, and cannot be recovered. Once you have paid money and can’t get it back, you should ignore that money in any future decisions you make. But people often allow past costs to influence future decisions. Example: NFL teams persist with first-round-pick quarterbacks much longer than later-round picks with similar performance, because they have “paid” more for the first-rounder. Admitting mistakes and moving on is crucial, but people often find that difficult to do. © Pearson Education Limited 2015 37 of 59 Making the A blogger Who Understands Sunk Costs Connection In 2000, Arnold Kim began blogging about Apple products. By 2008, Kim’s site had become very successfully, and he was earning more than $100,000 per year from paid advertising. Sounds good, right? The “problem” was, Kim was a medical doctor who had invested over $200,000 in his education. What should Kim do? He believed he would ultimately make more as a blogger than as a doctor, but committing to blogging full-time would mean “wasting” his education. Kim realized his education costs were sunk—unrecoverable regardless of what career choice he made. So he went with what he wanted to do: blogging full time. • Could you have made the same choice? © Pearson Education Limited 2015 38 of 59 3. Being Unrealistic about Future Behavior People often make decisions that are inconsistent with their long-run intentions. Example: In 2010, 69% of smokers reported wanting to quit, and 52% actually attempted to quit. But despite their intentions, few actually quit; they found it hard to control their future behavior. Have you ever intended to quit a bad behavior or start a new good behavior, and failed? You likely believed that you would be able to carry through with your intentions. © Pearson Education Limited 2015 39 of 59 Is Our Theory Useless? Our theory of utility maximization suggests we should compare the marginal utility per dollar spent on every item we buy. But when you go grocery shopping, buying dozens of items, would you really do this? Likely, no. Does this invalidate our theory? Traditional economists often answer “no”, because: 1. Unrealistic assumptions are necessary to simplify complex decision making problems, in order to focus on the most important factors. 2. Models are best judged by the success of their predictions, rather than the accuracy of their assumptions. Indeed, models like our standard one are quite successful in predicting many types of consumer behavior. © Pearson Education Limited 2015 40 of 59 The Behavioral Economics of Shopping Behavioral economists say that it does matter that consumers do not usually make “optimal” consumption choices. • They believe modeling how people actually make decisions is important. Some important “irrational” consumption behaviors include: Rules of Thumb • Making general rules that often, but not always, produce optimal results • This can save on decision-making time Anchoring • “Irrelevant” information can often influence behavior. • Example: posting “limit 10 items per customer” will often induce people to buy 10 items, even they would have bought fewer without the sign © Pearson Education Limited 2015 41 of 59 Making the J.C. Penney Meets Behavioral Economics Connection When Ron Johnson became CEO of J.C. Penney, he instituted a new pricing strategy of “everyday low prices”, instead of artificially high “regular” prices, and normal “sale” prices. It turns out that consumers buy much more when told an item is on sale, even if the sale price is the same as the “everyday low price”. • This is an example of “anchoring”; the “regular” price acts as an anchor, making people believe they are getting a good deal. Johnson thought people were smart enough to see through this common department store ploy. But he was wrong, and he paid for his mistake with his job when he was fired after only 17 months. © Pearson Education Limited 2015 42 of 59 Common Misconceptions to Avoid Economists do not assume people maximize utility; but they commonly assume people behave as if they maximized utility. To maximize utility, do not seek to equalize the utility gained from each unit of a good, but instead from each dollar spent on each good. Take care interpreting economic experiments; the lessons sometimes don’t carry over to the “real world”. © Pearson Education Limited 2015 43 of 59 Appendix: Using Indifference Curves and Budget Lines to Understand Consumer Behavior LEARNING OBJECTIVE Use indifference curves and budget lines to understand consumer behavior. © Pearson Education Limited 2015 44 of 59 Two Competing Consumption Bundles Consumption Bundle B 3 slices of pizza and 4 cans of Coke Consumption Bundle F 5 slices of pizza and 2 cans of Coke Suppose Dave is faced with the choice of the above two weekly “consumption bundles”. It seems reasonable to assume that either: • Dave prefers bundle B to bundle F • Dave prefers bundle F to bundle B • Dave is indifferent between bundles B and F; that is, Dave would be equally happy with either B or F. In the first situation, we would say Dave gets higher utility from B than from F; in the third, that the utility from B and F was the same. © Pearson Education Limited 2015 45 of 59 Building an Indifference Curve Consumption Bundle B 3 slices of pizza and 4 cans of Coke Consumption Bundle F 5 slices of pizza and 2 cans of Coke Suppose Dave is indeed indifferent between B and F, and suppose we could find all of the bundles that Dave liked exactly as much. Perhaps bundle E: 2 slices of pizza and 8 cans of Coke would make Dave just as happy. The curve marked I3 is an indifference curve for Dave: a curve showing the combinations of consumption bundles that give the consumer the same utility. Figure 10A.1 © Pearson Education Limited 2015 Plotting Dave’s preferences for pizza and Coke 46 of 59 Comparing Utility Lower indifference curves represent lower levels of utility; higher indifference curves represent higher levels of utility. Bundle A is on I1, a lower indifference curve; and it is clearly worse than E, B, or F, since it has less pizza and Coke than any of those bundles. Bundle C is on a higher indifference curve, and is clearly better than B (more pizza and Coke). Figure 10A.1 © Pearson Education Limited 2015 Plotting Dave’s preferences for pizza and Coke 47 of 59 The Slope of an Indifference Curve Along an indifference curve, the slope tells us the rate at which the consumer is willing to trade off one product for another, while keeping the consumer’s utility constant. The rate is known as the Marginal Rate of Substitution (MRS). From E to B, Dave is willing to trade 4 cans of Coke for 1 slice of pizza; the MRS is 4 between E and B. From B to F, Dave is willing to trade 2 cans of Coke for 2 slices of pizza; the MRS is 1 between B and F. It is typical for the MRS to decrease, producing this convex shape for indifference curves. © Pearson Education Limited 2015 Figure 10A.1 Plotting Dave’s preferences for pizza and Coke 48 of 59 Can Indifference Curves Ever Cross? Bundles X and Z are on the same indifference curve, so Dave is indifferent between them. Similarly for bundles X and Y. We generally assume that preferences are transitive, so that if a consumer is indifferent between X and Z, and X and Y, then he must also be indifferent between Y and Z. But Dave will prefer Y to Z, since Y has more pizza and Coke. Since transitivity is such a sensible assumption, we conclude that indifference curves will never cross. Figure 10A.2 © Pearson Education Limited 2015 Indifference curves cannot cross 49 of 59 The Budget Constraint A consumer’s budget constraint is the amount of income he or she has available to spend on goods and services. If Dave has $10, and pizza costs $2 per slice and Coke costs $1 per can… Figure 10A.3 Dave’s budget constraint The slope of the budget constraint is the (negative of the) ratio of prices; it represents the rate at which Dave is allowed to trade Coke for pizza: 2 cans of Coke per 1 slice of pizza. © Pearson Education Limited 2015 50 of 59 Finding the Optimal Consumption Bundle Dave would like to reach the highest indifference curve that he can. He cannot reach I4; no bundle on I4 is within his budget constraint. The highest indifference curve he can reach is I3; bundle B is Dave’s best choice, given his budget constraint. Notice that at this point, the indifference curve is just tangent to the budget line. To maximize utility, a consumer needs to be on the highest indifference curve, given his budget constraint. © Pearson Education Limited 2015 Figure 10A.4 Finding optimal consumption 51 of 59 How a Price Decrease Affects the Budget Constraint When the price of pizza falls, Dave can buy more pizza than before. If pizza falls to $1.00 per slice, Dave can buy 10 slices of pizza per week; he can still afford 10 cans of Coke per week. The budget constraint rotates out along the pizza-axis to reflect this increase in purchasing power. © Pearson Education Limited 2015 Figure 10A.5 How a price decrease affects the budget constraint 52 of 59 Deriving the Demand Curve for Pizza As the price of pizza falls and the budget constraint rotates out, Dave’s optimal bundle will change. When pizza cost $2.00 per slice, Dave bought 3 slices. Now that pizza costs $1.00 per slice, Dave buys 7 slices. These are two points on Dave’s demand curve for pizza (when he has $10 to spend, and Coke costs $1.00 per can). Figure 10A.6 © Pearson Education Limited 2015 How a price change affects optimal consumption 53 of 59 Income and Substitution Effects of Price Changes When the price of pizza falls, Dave changes his consumption from A to C. We can think of this as two separate effects: • A change in relative price keeping utility constant, causing a movement along indifference curve I1; this is the substitution effect. Figure 10A.7 Income and substitution effects of a price change • An increase in purchasing power, causing a movement from B to C; this is the income effect. © Pearson Education Limited 2015 54 of 59 Change in Income: Effect on Budget Constraint When the income Dave has to spend on pizza and Coke increases from $10 to $20, his budget constraint shifts outward. With $10, Dave could buy a maximum of 5 slices of pizza or 10 cans of Coke. With $20, he can buy a maximum of 10 slices of pizza or 20 cans of Coke. Figure 10A.8 © Pearson Education Limited 2015 How a change in income affects the budget constraint 55 of 59 Change in Income: Effect on Optimal Consumption An increase in income leads Dave to consume more Coke… … and more pizza. For Dave, both Coke and pizza are normal goods. A different consumer might have different preferences, and an increase in income might decrease the demand for Coke, for example; in this case, Coke would be an inferior good. © Pearson Education Limited 2015 Figure 10A.9 How a change in income affects optimal consumption 56 of 59 At Optimality, MRS = Ratio of Prices At the point of optimal consumption, the indifference curve is just tangent to the budget line; their slopes are equal. The slope of the indifference curve is the (negative of the) marginal rate of substitution. The slope of the budget line is the (negative of the) ratio of the price of the horizontal axis good to the price of the vertical axis good. So at the optimum, MRS = PPizza/PCoke © Pearson Education Limited 2015 Figure 10A.10 At the optimum point, the slopes of the indifference curve and budget constraint are the same 57 of 59 Relating MRS and Marginal Utility Suppose Dave is indifferent between two bundles, A and B. A has more Coke than B, so B must have more pizza than A. As Dave moves from A to B, the loss (in utility) from consuming less coke must be just offset by the gain (in utility) from consuming more pizza. We can write: (Change in the quantity of Coke MU Coke ) (Change in the quantity of pizza MU Pizza) Rearranging terms gives: Change in the quantity of Coke MU Pizza Change in the quantity of pizza MU Coke And this first term is slope of the indifference curve, so it is equal to the MRS: MU Pizza Change in the quantity of Coke MRS Change in the quantity of pizza MU Coke © Pearson Education Limited 2015 58 of 59 The Rule of Equal Marginal Utility per Dollar Spent Combining the results from the previous two slides, we have: PPizza MU Pizza MRS PCoke MU Coke Dropping the MRS term from the middle, we can rewrite this as: MU Coke MU Pizza PCoke PPizza This means we have derived the Rule of Equal Marginal Utility per Dollar Spent. © Pearson Education Limited 2015 59 of 59
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