1.3.4 - Price determination

Syllabus
2018
Topic
1.3.4
Level
AS

Learning objectives

1.3.41a - Equilibrium price and quantity, and how they are determined. marketEquilibrium price and quantity, and how they are determined. market1.3.41b - Causes of changes in the equilibrium price and quantity as a equilibrium result ofCauses of changes in the equilibrium price and quantity as a equilibrium result of shifts in demand and supply curves.1.3.41c - operation of market forces to eliminate excess demand and excess supplyThe operation of market forces to eliminate excess demand and excess supply.1.3.42a - distinction between consumer and producer surplus. producer surplusThe distinction between consumer and producer surplus. producer surplus1.3.42b - changes in demand or supply might affect consumer and producer surplusHow changes in demand or supply might affect consumer and producer surplus.1.3.43a - rationing, incentive and signalling functions of the price price mechanism mechanismThe rationing, incentive and signalling functions of the price price mechanism mechanism for allocating scarce resources.1.3.43b - price mechanism in the context of different types of markets, including local, nationalThe price mechanism in the context of different types of markets, including local, national and global markets.1.3.44a - impact of indirect taxes on consumers, producers and the subsidies governmentThe impact of indirect taxes on consumers, producers and the subsidies government.1.3.44b - incidence of indirect taxes on consumers and producersThe incidence of indirect taxes on consumers and producers.1.3.44c - impact of subsidies on consumers, producers and the governmentThe impact of subsidies on consumers, producers and the government.1.3.44d - incidence of subsidies on consumers and producersThe incidence of subsidies on consumers and producers.

How market equilibrium is determined

Market equilibrium occurs at the price where quantity demanded equals quantity supplied. At this price, buyers' planned purchases exactly match sellers' planned sales, determining the equilibrium price and quantity.

Price Quantity demanded Quantity supplied Market position
$4 80 40 excess demand
$6 60 60 equilibrium
$8 40 80 excess supply

On a standard diagram, equilibrium is the intersection of the downward-sloping demand curve and upward-sloping supply curve. Read the price horizontally to the price axis and the quantity vertically to the quantity axis.

Equilibrium means planned demand and supply balance; it does not mean the outcome is fair, socially optimal or permanent. A determinant change can create a new equilibrium.

How shifts change equilibrium

Shift, other curve fixed Equilibrium price Equilibrium quantity
demand right rises rises
demand left falls falls
supply right falls rises
supply left rises falls

Identify the non-price determinant, shift the correct curve, keep the other curve fixed unless evidence says it also changes, and locate the new intersection. Then compare both equilibrium price and quantity with their original values.

When demand and supply shift together, one outcome may be certain while the other is ambiguous. Demand right plus supply left must raise price, but quantity may rise, fall or stay unchanged depending on the relative shift sizes. Demand left plus supply right must lower price, while quantity is ambiguous.

Do not infer both outcomes from the direction of one curve when both curves shift. The larger relative shift determines the ambiguous variable.

How markets remove shortages and surpluses

Disequilibrium Condition Price pressure Adjustment toward equilibrium
excess demand (shortage) Qd>QsQ_d>Q_s buyers compete and price rises quantity demanded contracts and quantity supplied extends
excess supply (surplus) Qs>QdQ_s>Q_d sellers cut price to clear unsold output quantity demanded extends and quantity supplied contracts

Price changes create movements along the existing demand and supply curves. Adjustment continues until planned quantity demanded again equals planned quantity supplied.

If a price is below equilibrium, buyers want 90 units but firms offer 50, leaving excess demand of 40. A rising price reduces purchases and encourages sales until the gap closes.

This mechanism assumes prices can adjust and participants respond. Price controls, slow information, contracts or adjustment costs can delay or prevent market clearing.

Consumer surplus and producer surplus

Surplus Meaning for one unit Area in a market diagram
consumer surplus maximum willingness to pay minus the market price actually paid below demand and above market price, up to equilibrium quantity
producer surplus market price received minus the minimum price required to supply above supply and below market price, up to equilibrium quantity

A buyer willing to pay 10whopays10 who pays7 receives 3consumersurplus.Asellerwillingtosupplyaunitforatleast3 consumer surplus. A seller willing to supply a unit for at least4 who receives 7receives7 receives3 producer surplus.

Demand represents marginal willingness to pay and supply represents the minimum acceptable price linked to marginal cost. Adding the unit-by-unit gaps gives the total surplus areas.

Producer surplus is not the same as profit: producer surplus subtracts variable production costs represented by supply, whereas profit also accounts for fixed costs.

How market shifts change surplus

Change, other curve fixed Price/quantity effect Usual surplus effect
demand right price and quantity rise producer surplus rises; consumer surplus is not determined by price alone because willingness to pay also shifted
demand left price and quantity fall producer surplus falls; consumer-surplus change needs the new demand area
supply right price falls, quantity rises consumer surplus rises; producer-surplus change needs the new supply area
supply left price rises, quantity falls consumer surplus falls; producer-surplus change needs the new supply area

Draw the original and new curves, mark both equilibria, then compare the complete areas bounded by demand or supply, the relevant price and the traded quantity. Do not compare price alone when the curve defining willingness to pay or minimum supply price has moved.

A good harvest shifts supply right, lowers price and expands quantity, increasing consumer surplus. A fall in demand for hotel rooms shifts demand left and normally reduces producer surplus.

A lower price does not automatically prove total consumer surplus rose if demand also shifted left. Surplus is an area, so both the curve and equilibrium must be considered.

Three functions of the price mechanism

Function What a price change does
signalling communicates changes in relative scarcity and consumer preferences to buyers and sellers
incentive a higher potential return encourages producers to extend supply or move resources into production; a lower return discourages them
rationing when a good is scarce, a higher price contracts quantity demanded and allocates available output to buyers willing and able to pay

If demand rises, excess demand pushes price upward. The higher price signals stronger scarcity, gives firms an incentive to increase output, and rations the limited current supply. These responses help reallocate scarce resources.

Rationing by price reflects willingness and ability to pay, not need or fairness. Signals and incentives can also be weakened by poor information, market power or barriers that prevent resources moving.

The price mechanism across market scales

Market scale Participants and price formation Important connection
local nearby buyers and sellers; local conditions strongly affect price transport limits, local capacity and local preferences
national buyers and sellers across one country national regulation, taxes, infrastructure and income
global participants and supply chains across countries exchange rates, trade costs, weather, geopolitics and world demand/supply

The same signalling, incentive and rationing functions operate at each scale. A higher world cocoa price signals scarcity to producers internationally, while a local hotel price mainly coordinates rooms and visitors in that location.

Markets can overlap: a global commodity-price change alters national import costs and then local retail prices. The relevant market is defined by the product, geography and participants able to substitute or trade.

A market's label does not guarantee one uniform price. Quality, transport, taxes, exchange rates and imperfect information can create price differences within and across scales.

Impacts of an indirect tax

Tax type Charge Supply representation
specific fixed amount per unit parallel upward/left shift by the tax per unit
ad valorem percentage of selling price upward/left pivot because tax per unit grows with price

An indirect tax raises producers' cost of supplying each unit. The consumer price rises, the net price producers receive falls, and equilibrium quantity falls. The vertical wedge between the two prices is the tax per unit; multiplying it by post-tax quantity gives government tax revenue.

Stakeholder Likely impact
consumers higher price, lower quantity and lower consumer surplus
producers lower net receipt, lower sales and lower producer surplus
government tax revenue, but administration and opportunity costs
third parties possible reduction in external costs if harmful consumption/production falls

The tax does not normally shift demand. Its effectiveness and stakeholder effects depend on tax size, PED, PES, substitutes, enforcement and time; tax revenue is not automatically a net social benefit.

Who bears an indirect tax?

Tax incidence is the division of the tax burden between consumers and producers. Consumer incidence is the rise in the price paid; producer incidence is the fall in the net price received. Together they equal the tax per unit.

Relative responsiveness Larger tax burden
demand less elastic than supply consumers
supply less elastic than demand producers
perfectly inelastic demand consumers bear all
perfectly inelastic supply producers bear all

The side less able to change quantity after the tax has fewer avoidance options, so bears more of the wedge. Statutory responsibility—who sends the payment to government—does not determine economic incidence.

Do not measure incidence from the tax-revenue rectangle alone. Compare the pre-tax equilibrium price with the post-tax consumer price and producer receipt, using the same per-unit vertical wedge.

Impacts of a government subsidy

A production subsidy is a government payment that lowers producers' effective cost and encourages production. Supply shifts right/down; the price consumers pay falls, the price producers receive including subsidy rises, and equilibrium quantity increases.

The vertical difference between the producer receipt and consumer price is the subsidy per unit. Multiplying this wedge by the post-subsidy quantity gives government expenditure.

Stakeholder Likely impact
consumers lower price, higher quantity and higher consumer surplus
producers higher effective receipt, larger sales and higher producer surplus
government expenditure and an opportunity cost
third parties possible external benefits, or external costs if extra output is harmful

The effect depends on subsidy size, PED, PES, time lags and whether firms pass benefits through. Support may build capacity or correct underconsumption, but can cause dependency, overproduction or government failure.

Removing a subsidy reverses the direction: supply shifts left, consumer price rises and quantity falls. A subsidy is not free resources; taxpayers or foregone public spending finance it.

Who gains from a subsidy?

Subsidy incidence divides the per-unit subsidy between consumers and producers. Consumer incidence is the fall in the price consumers pay; producer incidence is the rise in the effective price producers receive. Together they equal the subsidy per unit.

Relative responsiveness Larger share of subsidy benefit
demand less elastic than supply consumers gain more through a lower price
supply less elastic than demand producers gain more through a higher effective receipt
perfectly inelastic demand consumers receive the full price benefit
perfectly inelastic supply producers receive the full benefit

As with tax incidence, the less responsive side captures more because it changes quantity less and has fewer alternatives. Legal payment to producers does not imply producers retain the full benefit.

Incidence is not the same as total government spending. Government expenditure is subsidy per unit multiplied by post-subsidy quantity; incidence divides each unit's wedge between the two sides.