BUSI 300 - Chapter 2

(a)1 What three conditions must a market satisfy to be perfectly competitive, and why can demand and supply analysis still be useful when real estate markets do not satisfy these conditions perfectly?

(a)2 Why do firms in a perfectly competitive market earn only normal profits in the long run, and what does normal profit mean?

(a)3 What two types of information does a demand curve provide, and why does it generally slope downward?

(a)4 What is the difference between a change in quantity demanded and a change in demand? Explain how each appears graphically and what causes it.

(a)5 How does an increase in consumer income affect demand for normal and inferior goods, and why are demographic characteristics especially important in housing markets?

(a)1 A perfectly competitive market satisfies three conditions:

1. Homogeneous products: goods offered by different sellers are identical in consumers' eyes, so there is only one market price.

2. Many buyers and sellers: each participant is sufficiently small that no individual can influence the market price. All participants are price takers.

3. Free entry and exit: new firms can enter the market when profitable opportunities exist, preventing firms from earning more than normal profits in the long run.

Real estate markets rarely satisfy all these assumptions perfectly, but demand and supply analysis remains useful for identifying the main forces influencing prices, quantities, and market outcomes.

(a)2 Normal profit is the minimum level of profit necessary for a firm to remain in a market. It occurs when revenue equals total economic cost, including the required return to the firm's resources.

In a perfectly competitive market, unusually profitable opportunities attract new firms because entry is unrestricted.

Additional competition prevents existing firms from maintaining profits above the normal level in the long run.

(a)3 A demand curve provides two types of information:

1. Consumer behaviour: at a given price, it shows the quantity consumers are willing to purchase.

2. Marginal benefit: at a given quantity, it shows the maximum amount consumers are willing to pay for an additional unit.

Marginal benefit is the additional benefit obtained from consuming one more unit of a good.

Demand curves generally slope downward because marginal benefit tends to decline as consumption increases. Consumers therefore require progressively lower prices to purchase additional units.

(a)4 A change in quantity demanded is a movement along an existing demand curve caused by a change in the good's own price.

A lower price increases quantity demanded, while a higher price decreases it.

A change in demand is a shift of the entire demand curve caused by changes in underlying factors other than the good's own price.

These factors include consumer income, prices of other goods, and demographic characteristics.

An increase in demand shifts the curve outward or right, while a decrease shifts it inward or left.

(a)5 A normal good is a good for which an increase in consumer income increases demand, shifting the demand curve outward.

An inferior good is a good for which an increase in income decreases demand, shifting the demand curve inward.

Demographic characteristics, including age, marital status, and family size, influence the types and quantities of housing households require.

Changes in the composition of the population can therefore shift housing demand even when housing prices remain unchanged.

(b)1 How do changes in the prices of substitute and complementary goods affect demand? Explain using the examples of houses in neighbouring areas and products commonly used together.

(b)2 An investor has $500,000 and wants to purchase condominiums priced at $250,000 each. How would the investor's demand respond to (i) a reduction in the condominium price to $125,000 and (ii) an increase in the investor's available funds to $1,000,000 while the price remains $250,000? Distinguish between a change in demand and a change in quantity demanded.

(b)3 What is the principle of substitution in real estate appraisal, and how does it provide the foundation for the direct comparison, cost, and income approaches to valuation?

(b)4 Given the demand equation qD = 100 – 2p, determine the price-axis and quantity-axis intercepts. How would you use these intercepts to graph the demand curve, and what do they represent economically?

(b)5 Given the demand equation qD = 100 – 2p, rearrange it to express price as a function of quantity. What is the slope of the resulting equation, and what does the price calculated at any particular quantity represent?

(b)1 Substitutes are goods that can replace one another in satisfying consumers' needs.

An increase in the price of one good increases demand for its substitute. For example, if identical houses in one neighbourhood become more expensive, some buyers may shift toward comparable houses in a neighbouring area, increasing demand there.

Complements are goods that provide benefits when used together.

An increase in the price of one good decreases demand for its complement. For example, an increase in computer prices may reduce demand for printers.

(b)2 (i) If the condominium price decreases from $250,000 to $125,000, the investor can purchase four units instead of two with the original $500,000.

This is an increase in quantity demanded, represented by a movement along the existing demand curve, because only the price changed.

(ii) If the investor's available funds increase to $1,000,000 while the condominium price remains $250,000, the investor can purchase four units because of increased income.

This represents an increase in demand, shifting the demand curve outward, because the investor's willingness and ability to purchase additional units increased at the original price.

(b)3 The principle of substitution states that the cost of acquiring an equally desirable substitute property tends to establish a limit on a property's value.

Buyers generally have alternatives and can compare properties based on their use, physical characteristics, or income-generating capacity.

The principle underlies three appraisal approaches:

• Direct comparison: comparing the property with existing properties offering equivalent utility.

• Cost approach: considering the cost of acquiring a similar site and constructing a building with equivalent utility, assuming no undue delay costs.

• Income approach: comparing the property with alternative investments offering equivalent returns and risk.

An equally desirable substitute provides a benchmark for determining what a rational buyer would be willing to pay.

(b)4 Given qD = 100 – 2p:

At the price-axis intercept, quantity demanded is zero.

0 = 100 – 2p, so p = $50.

At the quantity-axis intercept, price is zero.

qD = 100 – 2(0) = 100 units.

The demand curve is a straight line connecting (q = 0, p = 50) and (q = 100, p = 0).

The price intercept represents the price at which quantity demanded falls to zero, while the quantity intercept represents the amount consumers would demand if the product were free.

(b)5 Starting with qD = 100 – 2p:

Rearranging gives p = 50 – ½qD.

In the general linear equation Y = b + mX, b represents the vertical intercept and m represents the slope.

The price-axis intercept is 50, and the slope is –½. This means that price decreases by $0.50 for each additional unit of quantity.

At any given quantity, the demand equation gives the consumer's marginal benefit, or willingness to pay for the next unit.

For example, at qD = 50, the marginal benefit is p = 50 – ½(50) = $25.

(c)1 The demand equation is qD = 50 + I – 2p, where I represents consumer income. Rearrange the equation to express price as a function of quantity and income. Explain how an increase in income changes the demand curve and identify the type of good.

(c)2 How is the market demand curve derived from individual demand curves, and why must the curves be added horizontally rather than vertically?

(c)3 What two types of information does a supply curve provide, and how does its relationship with marginal cost differ from the demand curve's relationship with marginal benefit?

(c)4 Why does a competitive firm's supply curve represent its marginal cost of production, and why does the supply curve generally slope upward?

(c)5 What is the difference between a change in quantity supplied and a change in supply? Explain how changes in input prices, productivity, technology, and taxes affect the supply curve.

(c)1 Starting with qD = 50 + I – 2p:

Rearranging gives p = 25 + ½I – ½qD.

The price-axis intercept is 25 + ½I.

An increase in income raises the intercept, shifting the entire demand curve upward or outward. At any given price, the consumer demands a greater quantity.

The good is therefore a normal good because demand increases when income increases.

(c)2 The market demand curve represents the combined demand of all consumers in a market.

To construct it, add the quantities demanded by individual consumers at each possible price.

For example, if one consumer demands 5 units at $10 and another demands 8 units at $10, market demand at that price is 13 units.

The curves are added horizontally because quantities are combined while holding price constant.

(c)3 A supply curve shows:

1. Producer behaviour: the quantity a producer is willing to supply at a given price.

2. Marginal cost: the minimum price a producer is willing to accept to supply an additional unit.

Marginal cost is the increase in total production cost resulting from producing one more unit.

The demand curve represents consumers' marginal benefit, while the supply curve represents producers' marginal cost.

(c)4 A competitive firm maximizes profit by producing the quantity at which price equals marginal cost: p = MC.

If the additional revenue from selling a unit exceeds its marginal cost, producing that unit increases profit.

The firm's supply curve therefore describes the marginal cost associated with supplying different quantities.

Supply curves generally slope upward because marginal production costs tend to increase as output expands. Higher prices make it worthwhile to produce additional units with higher marginal costs.

(c)5 A change in quantity supplied is a movement along the existing supply curve caused by a change in the good's own price.

A change in supply is a shift of the entire curve caused by a change in an underlying production condition.

• Higher input prices or taxes increase production costs and decrease supply, shifting the curve inward or left.

• Lower input prices decrease production costs and increase supply, shifting the curve outward or right.

• Improved technology or input productivity increases supply because producers can supply more output at a given price.

(d)1 Under what circumstances might a supply curve be vertical, and why does the supply of real estate generally become more responsive to price over longer periods?

(d)2 Given the supply equation qS = –50 + 2p, determine the price-axis intercept, rearrange the equation to express price as a function of quantity, and explain what the resulting slope means.

(d)3 A firm's supply equation is qS = 100 – W + 2p, where W represents the price of an input. How does a decrease in W affect the supply curve, its price-axis intercept, and the quantity supplied at any given price?

(d)4 How is the market supply curve derived from individual firms' supply curves, and how does this process compare with the construction of the market demand curve?

(d)5 What conditions characterize market equilibrium, and what adjustments occur when the market price is above or below the equilibrium price?

(d)1 A vertical supply curve represents a situation in which the quantity supplied is fixed regardless of price.

This can occur when suppliers cannot adjust production over a very short period or when the available quantity of a resource is essentially fixed.

For example, the existing stock of real estate cannot be increased immediately in response to higher prices.

Over longer periods, developers have more time to construct additional buildings or otherwise expand supply.

Consequently, real estate supply generally becomes more responsive to price over longer time horizons, making the supply curve flatter.

(d)2 Given qS = –50 + 2p:

At the price-axis intercept, qS = 0.

0 = –50 + 2p, so p = $25.

Rearranging the original equation gives p = 25 + ½qS.

The vertical intercept is $25, and the slope is ½.

The slope means that price must increase by $0.50 for the quantity supplied to increase by one unit, or equivalently, that a $1 increase in price increases quantity supplied by two units.

(d)3 Given qS = 100 – W + 2p:

Rearranging gives p = ½W – 50 + ½qS.

The price-axis intercept is therefore ½W – 50.

A decrease in W lowers the intercept and shifts the supply curve downward or outward.

Because production inputs become less expensive, the firm is willing to supply more units at every given price.

For example, reducing W from $150 to $100 lowers the price-axis intercept from $25 to $0.

(d)4 The market supply curve represents the combined supply of all firms participating in a market.

It is constructed by horizontally adding the quantities supplied by individual firms at each price.

For example, if two firms are willing to supply 10 and 15 units at a price of $20, total market supply at that price is 25 units.

This is the same procedure used to construct market demand, except that individual producers' quantities are added instead of individual consumers' quantities.

(d)5 Market equilibrium occurs when quantity demanded equals quantity supplied: qD = qS.

At the equilibrium price, there is neither a shortage nor a surplus, so there is no inherent pressure for the price to change.

If price is below equilibrium, quantity demanded exceeds quantity supplied, creating a shortage. Competition among buyers puts upward pressure on price.

If price is above equilibrium, quantity supplied exceeds quantity demanded, creating a surplus. Competition among sellers puts downward pressure on price.

These adjustments tend to move the market toward equilibrium.

(e)1 A market has demand qD = 100 – 2p and supply qS = –50 + 2p. Calculate the equilibrium price and quantity, and explain the procedure for solving this type of problem.

(e)2 What is comparative statics, and how would an increase in income, population, or the price of a substitute good affect equilibrium price and quantity in a competitive market?

(e)3 How do an increase in production input costs and an improvement in production technology affect market equilibrium? Explain the direction of the supply shift and the resulting changes in equilibrium price and quantity.

(e)4 How can demographic changes influence housing market equilibrium? Apply demand and supply analysis to explain the potential effects of an increase or decrease in the population of households seeking single-family residences.

(e)5 What is price elasticity of demand, how is it calculated, and how would you interpret a situation in which a 10% increase in price causes a 20% decrease in quantity demanded?

(e)1 At equilibrium, qD = qS.

Substitute the two equations:

100 – 2p = –50 + 2p.

Rearranging gives 150 = 4p.

Therefore, the equilibrium price is p* = $37.50.

Substitute this price into either equation:

q* = 100 – 2(37.50) = 25 units.

The equilibrium is a price of $37.50 and a quantity of 25 units.

The general procedure is to equate demand and supply, solve for price, and substitute that price into either equation to determine quantity.

(e)2 Comparative statics examines how equilibrium price and quantity change when an underlying economic factor changes.

For a normal good, an increase in income raises demand. Population growth or an increase in the price of a substitute can also increase demand.

An increase in demand shifts the demand curve outward or right.

Assuming supply remains unchanged, the new equilibrium has a higher price and a higher quantity.

A decrease in demand produces the opposite effects: lower equilibrium price and quantity.

(e)3 An increase in production input costs makes supplying a given quantity more expensive.

Supply shifts inward or left, resulting in a higher equilibrium price and lower equilibrium quantity, assuming demand remains unchanged.

An improvement in production technology increases productivity, allowing producers to supply more output at a given price.

Supply shifts outward or right, resulting in a lower equilibrium price and higher equilibrium quantity.

(e)4 Demographic changes can alter the number and characteristics of households seeking particular types of housing.

An increase in the population of households seeking single-family residences shifts demand for these properties outward.

Assuming supply remains unchanged, equilibrium prices and quantities increase.

Conversely, a decline in the number of households seeking single-family residences shifts demand inward, reducing equilibrium prices and quantities.

The chapter uses the baby boom generation's movement into prime home-buying years as an example of how demographic changes can influence housing demand.

(e)5 Price elasticity of demand measures the responsiveness of quantity demanded to a change in price.

Price elasticity of demand = Percentage change in quantity demanded ÷ Percentage change in price.

In the example:

Price elasticity = –20% ÷ 10% = –2.

The negative sign reflects the inverse relationship between price and quantity demanded.

The absolute elasticity is 2, meaning that a 1% increase in price is associated with a 2% decrease in quantity demanded in this example.

Demand is elastic because the percentage change in quantity is greater than the percentage change in price.

(f)1 How are elastic, inelastic, and unit-elastic demand distinguished, and why is the absolute value used when interpreting price elasticity of demand?

(f)2 What is price elasticity of supply, and why is it generally greater over longer periods than over shorter periods? How would you interpret a 10% increase in price that causes a 5% increase in quantity supplied?

(f)3 How does the elasticity of supply influence the changes in equilibrium price and quantity caused by an increase in demand? Compare the outcomes under relatively steep and relatively flat supply curves.

(f)4 Why is understanding price elasticity important for a residential developer deciding how to price new units and plan future construction phases?

(f)5 What is consumer surplus, and how can it be identified and calculated using a demand curve and the market price?

(f)1 Demand is elastic when the absolute value of price elasticity is greater than 1. Quantity demanded changes by a greater percentage than price.

Demand is inelastic when the absolute value is less than 1. Quantity demanded changes by a smaller percentage than price.

Demand is unit elastic when the absolute value equals 1. Quantity demanded and price change by equal percentages.

The absolute value is used because demand elasticity is normally negative due to the inverse relationship between price and quantity. Classification depends on the magnitude of responsiveness rather than its direction.

(f)2 Price elasticity of supply measures the responsiveness of quantity supplied to a change in price.

Price elasticity of supply = Percentage change in quantity supplied ÷ Percentage change in price.

For the example:

Price elasticity of supply = 5% ÷ 10% = 0.5.

Supply is inelastic because quantity supplied changes by a smaller percentage than price.

Supply is generally more elastic over longer periods because producers have additional time to expand production capacity and adjust the quantity supplied.

(f)3 When supply is relatively steep or inelastic, producers have limited ability to increase output in response to higher prices.

An increase in demand therefore produces a relatively large increase in equilibrium price and a relatively small increase in equilibrium quantity.

When supply is relatively flat or elastic, producers can respond more substantially to higher demand.

The same demand increase therefore produces a relatively small price increase and a relatively large quantity increase.

This distinction is particularly relevant when comparing the short-run and long-run responses of real estate markets.

(f)4 A residential developer must estimate absorption rates, or how quickly new units will sell, to prepare cash flow projections and plan future construction phases.

Price elasticity helps the developer understand how different selling prices affect the quantity of housing demanded and the speed at which units may be absorbed.

A developer must also consider competing properties, expected future supply, demographic changes, macroeconomic conditions, and changing consumer preferences.

These factors can affect demand and its responsiveness to price, influencing both pricing decisions and construction schedules.

(f)5 Consumer surplus is the difference between the maximum amount consumers are willing to pay for a good and the amount they actually pay.

For an individual unit:

Consumer surplus = Willingness to pay – Actual price.

Total consumer surplus is the sum of this difference across all units purchased.

Graphically, consumer surplus is the area beneath the demand curve and above the market price, extending to the quantity purchased.

For a linear demand curve, this area is usually a triangle:

Consumer surplus = ½ × Triangle height × Triangle width.

(g)1 What is producer surplus, how is it represented graphically, and how does it differ from consumer surplus? How are the two combined to measure aggregate economic welfare?

(g)2 A competitive market has demand p = 100 – q and supply p = q. Calculate the equilibrium price and quantity, consumer surplus, producer surplus, and aggregate welfare.

(g)3 A consumer's weekly transit demand is qD = 5 – p. The normal fare is $2 per trip, but a card costing $5 would reduce the fare to $1. Using consumer surplus, determine whether purchasing the card is economically worthwhile.

(g)4 What does it mean for a market outcome to be economically efficient, and why does the competitive equilibrium maximize aggregate economic welfare under the assumptions of perfect competition?

(g)5 What is a binding rent control policy, and why does establishing a maximum rent below the equilibrium level create a housing shortage?

(g)1 Producer surplus is the difference between the price a producer receives for a unit and the minimum amount the producer is willing to accept to supply it.

Producer surplus = Actual price received – Minimum acceptable price.

Graphically, total producer surplus is the area above the supply curve and below the market price, extending to the quantity sold.

Consumer surplus measures the benefits consumers receive beyond what they pay, while producer surplus measures the benefits producers receive beyond their minimum acceptable compensation.

Aggregate economic welfare is the sum of consumer and producer surplus:

Aggregate welfare = Consumer surplus + Producer surplus.

(g)2 Given demand p = 100 – q and supply p = q:

At equilibrium, 100 – q = q.

Therefore, q* = 50 and p* = $50.

Consumer surplus is the triangle below the demand curve and above the equilibrium price:

CS = ½ × (100 – 50) × 50 = $1,250.

Producer surplus is the triangle above the supply curve and below the equilibrium price:

PS = ½ × (50 – 0) × 50 = $1,250.

Aggregate welfare = $1,250 + $1,250 = $2,500.

(g)3 Given qD = 5 – p:

At the original $2 fare, the consumer takes 3 trips.

Consumer surplus = ½ × (5 – 2) × 3 = $4.50.

At the reduced $1 fare, the consumer takes 4 trips.

Consumer surplus = ½ × (5 – 1) × 4 = $8.

The additional consumer surplus from the reduced fare is $8 – $4.50 = $3.50.

Because the card costs $5, its cost exceeds the additional benefit by $1.50.

The consumer should not purchase the card under the model's assumptions.

(g)4 An allocation is economically efficient if it is impossible to improve one person's well-being without reducing another person's well-being.

In the chapter's competitive market analysis, efficiency requires maximizing aggregate welfare, the sum of consumer and producer surplus.

At the competitive equilibrium, marginal benefit equals marginal cost: MB = MC.

Producing additional units beyond equilibrium would cost more than the benefits they generate. Producing fewer units would eliminate transactions for which benefits exceed costs.

Therefore, competitive equilibrium maximizes aggregate welfare.

The fundamental theorem of welfare economics states that under perfect competition, individuals pursuing their own interests can achieve an efficient allocation through the coordinating mechanism of market prices.

(g)5 Rent control places an upper limit on the rent landlords may charge tenants.

A rent ceiling is binding when it is below the competitive equilibrium rent.

At the controlled rent, more households want to rent accommodation because housing is cheaper.

However, landlords and investors are willing to supply fewer rental units because the rental return is lower.

Consequently, quantity demanded exceeds quantity supplied, creating a housing shortage.

A rent ceiling above the equilibrium rent is not binding because the market can reach its equilibrium without exceeding the ceiling.

(h)1 Using a demand and supply diagram, explain how binding rent control affects consumer surplus, producer surplus, and aggregate welfare. Why might some tenants benefit while other potential tenants are made worse off?

(h)2 Housing demand is qD = 1,000 – p and housing supply is qS = p. A rent control policy establishes a maximum rent of $300. Calculate the original equilibrium, the shortage under rent control, consumer surplus, producer surplus, and the deadweight loss caused by the policy.

(h)3 How does a per-unit tax imposed on buyers affect the demand curve, the equilibrium quantity, and the prices paid by buyers and received by sellers?

(h)4 How does a per-unit tax imposed on sellers affect the supply curve, the equilibrium quantity, and the prices paid by buyers and received by sellers?

(h)5 Why does the economic incidence of a tax not depend on whether the government collects it from buyers or sellers? What determines how the tax burden is distributed between the two groups?

(h)1 A binding rent ceiling reduces the quantity of housing supplied below the competitive equilibrium quantity.

Tenants who obtain housing at the controlled rent may benefit because they pay less than the original market rent.

However, some potential tenants cannot obtain accommodation because the reduced supply is insufficient to satisfy demand.

Landlords receive lower rents and supply fewer units, reducing producer surplus.

In the chapter's Figure 2.20, consumer surplus changes from a + b + c to a + b + d, while producer surplus changes from d + e + f to f.

Area d is transferred from producers to consumers. Areas c and e represent deadweight loss because potentially beneficial rental transactions no longer occur.

Aggregate welfare therefore decreases by c + e in the model.

(h)2 Given qD = 1,000 – p and qS = p:

At equilibrium, 1,000 – p = p.

The equilibrium price is $500, and the equilibrium quantity is 500 units.

Before rent control:

CS = ½ × 500 × 500 = $125,000.

PS = ½ × 500 × 500 = $125,000.

Aggregate welfare = $250,000.

At the controlled rent of $300:

Quantity demanded = 1,000 – 300 = 700 units.

Quantity supplied = 300 units.

Housing shortage = 700 – 300 = 400 units.

Only 300 units are traded.

The chapter calculates consumer surplus using the area beneath demand and above the controlled rent for the 300 units supplied:

CS = ½ × 300 × 300 + 300 × (700 – 300) = $165,000.

PS = ½ × 300 × 300 = $45,000.

Aggregate welfare after rent control = $210,000.

Deadweight loss = $250,000 – $210,000 = $40,000.

Under the chapter's model, consumers as a group gain $40,000 in surplus, producers lose $80,000, and aggregate welfare declines by $40,000.

(h)3 A per-unit tax collected from buyers increases the total amount buyers must pay to acquire each unit.

If the tax is t per unit, consumers reduce the maximum amount they are willing to pay sellers by t.

This produces a parallel downward shift in the demand curve.

The equilibrium quantity decreases, and the price received by sellers falls.

However, buyers must pay the tax in addition to the price received by sellers.

Therefore:

Price paid by buyers = Price received by sellers + Tax.

Or pB = pS + t.

The difference between the two prices is the tax wedge, pB – pS = t.

(h)4 A per-unit tax collected from sellers increases the marginal cost of supplying each unit by the amount of the tax.

The supply curve shifts upward or inward by t.

The equilibrium quantity decreases, and the price paid by buyers increases.

However, sellers must pay the tax out of the price they receive from buyers.

Therefore:

Price received by sellers = Price paid by buyers – Tax.

Or pS = pB – t.

The difference between the two prices is again the tax wedge, pB – pS = t.

(h)5 The economic incidence of a tax describes how its actual economic burden is distributed between buyers and sellers.

Whether the tax is formally collected from buyers or sellers, it creates the same difference between the price buyers pay and the price sellers receive.

The resulting equilibrium prices and quantities are the same under the chapter's competitive market model.

The distribution of the burden depends on the relative responsiveness of demand and supply to price changes.

The side of the market that is less responsive to price changes bears a greater share of the tax burden.

(i)1 How does a per-unit tax affect consumer surplus, producer surplus, government revenue, and aggregate welfare? Explain why the tax generates a deadweight loss when it reduces the quantity traded.

(i)2 What is the difference between a transfer of surplus and a deadweight loss? Explain using the effects of taxes and rent control.

(i)3 Why does a tax on land with perfectly inelastic supply fall entirely on landowners, even when the government formally imposes the tax on buyers? Explain why this tax creates no deadweight loss under the model's assumptions.

(i)4 What is the single tax or site value tax proposal associated with Henry George, and how does the fixed-supply characteristic of land support its economic rationale? What limitation of the fixed-supply assumption does the chapter identify?

(i)5 What is market failure, and how can monopoly, asymmetric information, and public goods prevent markets from achieving an efficient allocation of resources?

(i)1 A per-unit tax creates a difference between the price buyers pay and the price sellers receive.

Buyers pay more, reducing consumer surplus, while sellers receive less, reducing producer surplus.

The government collects revenue equal to the tax per unit multiplied by the quantity traded:

Government revenue = t × q1.

Some of the lost consumer and producer surplus becomes government revenue.

However, the tax also reduces the equilibrium quantity, eliminating transactions for which consumers' marginal benefits exceeded producers' marginal costs.

The surplus lost from these transactions is the deadweight loss of the tax.

In Figure 2.23, consumer surplus falls from a + b + c to a, producer surplus falls from d + e + f to f, government revenue equals b + d, and deadweight loss equals c + e.

(i)2 A transfer of surplus changes who receives an economic benefit without necessarily reducing the total benefit available to society.

For example, tax revenue transfers some surplus from buyers and sellers to the government.

Similarly, rent control transfers some surplus from landlords to tenants who obtain accommodation at the controlled price.

Deadweight loss is different: it is a reduction in aggregate welfare resulting from transactions that no longer occur.

When a tax or binding rent ceiling reduces the number of beneficial transactions, the surplus associated with those transactions disappears rather than being transferred to another participant.

(i)3 When land supply is perfectly inelastic, the quantity of land supplied cannot change in response to price.

A tax on buyers shifts the demand curve downward by the amount of the tax.

Because the supply curve is vertical, the equilibrium quantity remains unchanged.

The total price paid by buyers also remains at its original level. Instead, the price received by landowners falls by the full amount of the tax.

Thus, landowners bear the entire economic burden, regardless of who is legally required to pay.

Because the quantity traded does not decline, no mutually beneficial transactions disappear.

The land tax therefore creates no deadweight loss under the fixed-supply model. It transfers surplus from landowners to the government without reducing aggregate economic welfare.

(i)4 The single tax or site value tax proposal, associated with Henry George, proposes financing government activities through a tax on the unimproved value of land.

Its economic rationale rests on the assumption that land is in fixed supply.

If the quantity of land cannot respond to taxation, taxing its value does not reduce the quantity supplied or create a deadweight loss.

Under this model, land rent could be taxed without changing the allocation of resources.

However, the chapter recognizes that usable land is not always completely fixed in supply. Developers can increase the amount of usable land by draining swamps, modifying terrain, or reclaiming land from water.

Consequently, the perfectly inelastic supply assumption may not apply in every circumstance.

(i)5 Market failure occurs when a market does not produce an efficient allocation of resources or maximize aggregate economic welfare.

Three sources include:

• Monopoly: a firm with market power can influence price and may produce too little while charging a price above the competitive level.

• Asymmetric information and adverse selection: some participants possess information unavailable to others. For example, if buyers cannot distinguish high-quality from low-quality products, they may be unwilling to pay prices that adequately compensate high-quality sellers, potentially leaving mainly lower-quality products in the market.

• Public goods: some goods are difficult or impossible to provide efficiently through ordinary markets because users cannot easily be charged for their consumption. Examples include lighthouses and national defence.

(j)1 What is an externality, why are externalities particularly important in urban economics, and how do positive and negative externalities differ?

(j)2 For a negative externality, distinguish between private costs, external costs, and social costs. How are marginal private cost, marginal external cost, and marginal social cost related?

(j)3 Why does an unregulated competitive market produce more than the socially efficient quantity of a good that generates a negative externality? Explain using the relationships between marginal benefit, marginal cost, and marginal social cost.

(j)4 How can a corrective tax address a negative externality, and why can such a tax increase aggregate social welfare even though it reduces consumer and producer surplus?

(j)5 For a positive externality, distinguish between private benefits, external benefits, and social benefits. Why does an unregulated competitive market produce less than the socially efficient quantity of an activity generating positive externalities?

(j)1 An externality occurs when an individual's or firm's actions impose costs or provide benefits to other parties that are not accounted for by the market price system.

A negative externality imposes a detrimental effect on others, such as pollution or congestion.

A positive externality provides benefits to others, such as research that benefits other businesses or property improvements that increase neighbouring property values.

Externalities are especially important in urban economics because concentrating people and firms in relatively small geographic areas increases the frequency and significance of interactions between them.

(j)2 Private costs are costs incurred directly by the individual or firm undertaking an activity.

External costs are costs imposed on other individuals or firms that are not reflected in the decision-maker's private costs.

Social costs are the sum of private and external costs.

For example, a firm polluting a river incurs its own production costs, while other river users may incur water-treatment costs or lose recreational opportunities.

At the margin:

Marginal social cost (MSC) = Marginal private cost (MC) + Marginal external cost (MEC).

The private supply curve reflects MC, while the MSC curve also includes the additional costs imposed on society.

(j)3 An unregulated competitive firm considers its own marginal production costs but does not account for costs imposed on third parties.

It therefore produces where marginal benefit equals marginal private cost: MB = MC.

However, the socially efficient quantity occurs where marginal benefit equals marginal social cost:

MB = MSC = MC + MEC.

Because MSC exceeds private MC when a negative externality exists, the socially efficient quantity is lower than the unregulated market quantity.

In Figure 2.25, market output is q*, while the socially efficient output is q**, with q* greater than q**.

The market produces too much because decision-makers do not bear the full social cost of their activities.

(j)4 A corrective tax increases the private cost of producing or consuming an activity that generates a negative externality.

A per-unit tax equal to marginal external cost at the socially efficient output can bring private incentives into alignment with social costs.

The tax encourages decision-makers to reduce activity until marginal benefit equals marginal social cost.

This process is called internalizing the externality because the external cost becomes part of the decision-maker's private cost.

Although the tax reduces consumer and producer surplus, it also reduces harmful overproduction and the associated external costs.

The reduction in external costs can exceed the loss of private surplus, increasing aggregate social welfare.

For example, reducing polluting production may lower the costs of cleaning contaminated rivers or prevent the destruction of farmland and greenspace.

(j)5 Private benefits are benefits received directly by the individual or firm undertaking an activity.

External benefits are benefits received by others who are not directly compensated for those benefits.

Social benefits are the sum of private and external benefits.

At the margin:

Marginal social benefit (MSB) = Marginal private benefit (MB) + Marginal external benefit (MEB).

An unregulated decision-maker produces where MB = MC because only private benefits are considered.

However, the socially efficient quantity occurs where MSB = MC.

Because MSB exceeds private MB when a positive externality exists, the socially efficient quantity exceeds the unregulated market quantity.

Markets therefore tend to provide too little of activities that generate positive externalities.

(k)1 How can a corrective subsidy address a positive externality? Explain how the appropriate subsidy is determined and why it can increase aggregate social welfare.

(k)2 Why must real estate appraisers consider externalities in addition to a property's physical characteristics? Explain how neighbouring properties and public infrastructure can affect property values.

(k)3 How can zoning regulations address negative externalities arising from incompatible land uses? Explain using the chapter's example of an industrial activity located near residential properties.

(k)4 How can a developer internalize a positive externality by providing shared amenities in a residential building? Explain the relationship between amenities, tenant preferences, and property value.

(k)5 Why might a shopping mall owner offer a popular anchor tenant subsidized rent while charging neighbouring stores higher rents? Explain how this arrangement internalizes a positive externality and influences the amount of commercial activity.

(k)1 A corrective subsidy provides additional compensation to individuals or firms undertaking activities that generate positive externalities.

A per-unit subsidy equal to the marginal external benefit at the socially efficient quantity can encourage production or consumption to increase toward that quantity.

The subsidy raises the private benefit received by decision-makers, allowing them to account for benefits their activities provide to others.

Production increases until marginal social benefit equals marginal cost:

MSB = MC.

The increase in activity generates additional social benefits that would not have been realized under the unregulated market outcome.

In Figure 2.26, the subsidy moves production from q* toward the higher socially efficient quantity q**.

(k)2 A property's market value depends on both its internal characteristics and factors external to the property.

Internal characteristics include lot size, topography, views, building size, construction quality, and physical condition.

Externalities arise when surrounding properties, infrastructure, services, or economic conditions affect the property's value.

Positive externalities may include improved transportation infrastructure, police and fire protection, and improvements to neighbouring properties.

Negative externalities may include pollution, undesirable neighbouring land uses, or the construction of a landfill next to a residential property.

Appraisers must consider these effects because a property's value can change substantially even when its own physical characteristics remain unchanged.

(k)3 Zoning regulations can restrict incompatible land uses to prevent or reduce negative externalities.

For example, a lard-rendering facility located beside residential properties may generate unpleasant odours that reduce neighbouring residents' well-being and property values.

The facility's private operating costs may not account for these external effects.

Prohibiting such an industrial use near residential areas can prevent the external costs from being imposed on neighbouring households.

Zoning therefore provides one method of addressing market failures associated with incompatible land uses.

(k)4 A developer may provide amenities such as a swimming pool or tennis court to attract tenants who value those facilities.

Tenants are willing to pay higher rents for access to the amenities and may also benefit from living near neighbours with similar interests.

These interactions can create positive externalities within the residential development.

By providing the amenities and charging rents that reflect their value, the developer captures some of the benefits that might otherwise remain external to individual property decisions.

This allows the developer to internalize the positive externality and increase the property's attractiveness and potential rental value.

(k)5 A popular anchor tenant attracts customers not only to its own store but also to neighbouring businesses.

These additional customers generate positive external benefits for other tenants, even though the anchor tenant may not receive direct compensation for them.

Without compensation, the anchor tenant may establish fewer locations than would be justified by the total benefits its presence generates.

A shopping mall owner can internalize this positive externality by offering the anchor tenant subsidized rent.

Neighbouring stores may pay higher rents because they benefit from the additional customer traffic.

The mall owner can therefore use rental arrangements to compensate the anchor tenant for benefits it provides to other businesses, encouraging commercial activity that would otherwise be underprovided.