Two passengers sit side by side on the same flight. One paid four times what the other did. A supermarket sells bread below cost on its opening week and quietly raises the price a year later. A large brewer changes its prices and every rival follows within days. None of this fits the simple picture of a firm that sets one price where marginal cost equals marginal revenue. Firms pursue more than one objective, and they have more pricing tools than a single price, and both are examinable.
What firms are trying to achieve
The traditional assumption is profit maximisation: the firm produces where marginal cost equals marginal revenue, with MC rising, because at any lower output one more unit would add more to revenue than to cost, and at any higher output it would add more to cost. It is the right starting point, but firms have other objectives. Survival comes first for a new firm or one in a downturn, and may mean accepting losses or cutting prices to hold on to customers. Profit satisficing means aiming for a satisfactory level of profit rather than the maximum, which happens when managers, who run the firm, have different interests from shareholders, who own it: managers make enough profit to keep shareholders content and pursue their own goals with the rest. This is the principal-agent problem.
Two objectives are defined precisely and appear on diagrams. Revenue maximisation means producing where total revenue is as large as possible, which is where marginal revenue is zero: one more unit would add nothing to revenue. Managers may prefer it because their pay, status or bonuses are linked to sales revenue. Sales maximisation means producing the largest output possible without making a loss, which is where average revenue equals average cost, so the firm earns only normal profit. A firm might choose it to win market share, gain economies of scale or deter entrants. The order is always the same: the profit-maximising output is the smallest, the revenue-maximising output is larger, and the sales-maximising output is largest of all.
Three objectives on one demand curve
A firm faces the demand curve P = 100 - Q, so its marginal revenue is MR = 100 - 2Q. Its marginal cost and average cost are both constant at $20. Find the output, price and profit under profit maximisation, revenue maximisation and sales maximisation.
Draw a downward-sloping AR curve, its MR curve, and U-shaped MC and AC curves. Mark three outputs: the profit-maximising output where MC = MR, the revenue-maximising output where MR = 0, and the sales-maximising output where AR = AC. Mark the price at each by reading up to the AR curve.
MR = 0 is where the MR curve crosses the horizontal axis, which is the midpoint of a straight-line demand curve, where PED is exactly 1.
Price discrimination
Price discrimination
Charging different prices to different consumers for the same good or service, where the difference is not explained by differences in cost.
There are three degrees. First-degree, or perfect, price discrimination charges every consumer the maximum they are willing to pay, so the firm captures all the consumer surplus; it is approached by auctions and by individually negotiated prices. Second-degree price discrimination charges different prices according to the quantity bought, as with bulk discounts, lower rates for units above a threshold, or 'buy two, get one free'. Third-degree price discrimination charges different prices to different groups of consumers, separated by age, time, location or status, such as student and pensioner discounts, peak and off-peak fares, or different prices in different countries. It is the most common form and the one most often examined.
Three conditions must hold. The firm must have some price-setting power, since a price taker cannot charge anyone above the market price. It must be able to separate consumers into groups with different price elasticities of demand. And it must be able to stop resale between the groups, or those who buy cheaply would sell to those charged more. The firm then sets the higher price where demand is less elastic and the lower price where it is more elastic, and maximises profit by making marginal revenue equal to marginal cost in each market.
Third-degree price discrimination between two markets
An airline sells seats on a route to business travellers, with demand P = 200 - Q, and to leisure travellers, with demand P = 100 - Q. Marginal cost is constant at $20 per seat. Find the profit-maximising price and number of seats in each market.
The consequences are mixed, which is why questions ask candidates to assess them. Consumers in the higher-price market lose consumer surplus, which becomes profit. But some consumers in the lower-price market, such as students, off-peak travellers or buyers in poorer countries, can now afford a good they could not buy at a single price, so total output may rise and some people gain access. Higher profit may fund investment and innovation, or may simply be distributed to owners. And price discrimination can keep a service running that would not cover its costs at any single price, as with some rural transport, which benefits everyone who uses it.
Other pricing policies
Limit pricing means setting a price low enough to deter new firms from entering, at or just below the average cost a new entrant would face. The incumbent, which usually has lower costs because of economies of scale, gives up some short-run profit to protect its market in the long run. Predatory pricing goes further: a firm cuts price below its own average variable cost, making deliberate losses, to force a rival out of the market, and then raises prices once the rival has gone. It is illegal in most countries, but proving it is difficult, because a low price can also be fierce but legitimate competition. Price leadership occurs in oligopoly when one firm sets the price and the others follow, either because the leader is dominant or because it is trusted to read market conditions well. It lets firms coordinate prices without any formal agreement, a form of tacit collusion.
How predatory pricing works, and why it may fail
- A large firm faces a smaller rival in one of its markets.
- It cuts its price below average variable cost, knowing it will make a loss on every unit sold in that market.
- It can fund the losses from profits made in its other markets, or from its larger reserves.
- The smaller rival cannot match the price for long without running out of money, so it exits.
- With the rival gone, the large firm raises its price above the original level and recovers its losses.
- The strategy only pays if new firms cannot enter once prices rise, so it depends on high barriers to entry.
- Where entry is easy, the higher price attracts new rivals and the losses are never recovered, which is why genuine predatory pricing is rarer than accusations of it.
The last two steps are the evaluation. Contestability is what makes predatory pricing irrational, so it links this topic to market structures.
Practise this chain →Price elasticity of demand links pricing to revenue. On a normal downward-sloping demand curve, demand is elastic above the midpoint and inelastic below it, so a firm raises revenue by cutting price in the elastic range and by raising it in the inelastic range, and revenue is maximised at the midpoint, where MR is zero. A profit-maximising firm with market power always produces in the elastic range, since MR must be positive to equal a positive MC. In the kinked demand curve model of oligopoly, demand is elastic above the current price, because rivals will not follow a price rise, and inelastic below it, because rivals will match a cut. A price rise therefore loses a lot of revenue and a price cut gains very little, so the firm keeps its price where it is. The kink creates a vertical gap in the MR curve, and marginal cost can move up and down within that gap without the profit-maximising price changing.
Draw a kinked demand curve with the kink at the current price, relatively elastic above it and relatively inelastic below it. Draw the MR curve with its vertical gap at the output of the kink. Draw two MC curves, both passing through the gap, and show that the profit-maximising price and output are the same for both.
The gap in MR is the explanation for price rigidity. Without it, the model only describes stable prices; with it, the model explains why cost changes do not change the price.
Which condition is NOT necessary for a firm to practise third-degree price discrimination?
A firm produces where marginal revenue is zero. Which objective is it pursuing?
Applied context
Rail and air travel are the clearest everyday cases of price discrimination. Peak and off-peak fares separate travellers by time, since commuters and business travellers must travel at particular times and have inelastic demand, while leisure travellers can choose. Advance-purchase fares separate them by how early they book, and railcards for students and older people separate them by age. Each device works because it is hard to resell: tickets are named or tied to a specific train or flight. The same pricing that charges commuters more is what fills seats that would otherwise travel empty at quieter times.
Use this to support a two-sided judgement: the commuter pays more than under a single price, but the off-peak traveller may not travel at all without the lower fare.
This note applies the cost and revenue curves to decisions the simple model leaves out. The MC = MR rule and the definitions of normal and supernormal profit come from the costs and revenue topic. Price discrimination and limit and predatory pricing depend on market power and barriers to entry from market structures, and price leadership and the kinked demand curve are part of oligopoly. The principal-agent problem connects to the growth of firms. And every pricing decision rests on price elasticity of demand.
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Assess whether price discrimination is always against the interests of consumers. (13 marks)
- Define and frameDefine price discrimination and the three degrees, and state the three conditions. Identify 'always' as the claim under test, and 'consumers' as a group that is not uniform: those in the high-price and low-price markets are affected differently.
- Analysis: the case that it harms consumersShow third-degree discrimination on a two-market diagram. Consumers with inelastic demand pay more than they would at a single price, and consumer surplus is converted into producer surplus. Under first-degree discrimination all consumer surplus goes to the firm.
- Analysis: the case that it benefits someConsumers in the elastic market pay less and some buy who would not buy at all at a single price, so output and access may rise. A service that could not cover its costs at one price may run only because of discrimination. Profit may fund investment and better products.
- EvaluationWeigh rather than list. The net effect on consumers depends on whether output rises: if discrimination only redistributes surplus, consumers as a whole lose; if it opens new markets, some gain substantially. Equity matters: discounts for students and pensioners transfer from better-off to worse-off groups. The use of the extra profit, reinvested or distributed, decides the long-run effect.
- JudgementReject 'always'. Price discrimination harms consumers in the inelastic market and benefits those in the elastic market; it is most defensible where it raises output and access, and least where it simply extracts surplus from customers with no alternative. Name the case in the question and say which applies.
The strongest move is to treat consumers as two groups from the first paragraph. An answer that asks only whether 'consumers' gain or lose has missed the distributional point the question is testing.
Do alternative objectives change the analysis?
- Profit maximisation remains the best single prediction of how firms behave in competitive markets, because firms that do not maximise profit there are undercut or taken over.
- Where ownership is separated from control and competition is weak, managers have room to pursue revenue, growth or an easy life, so output and price can differ substantially from the profit-maximising level.
- Several apparent alternatives, such as limit pricing or chasing market share, are profit maximisation over a longer horizon rather than a departure from it.
- Information limits all of them. Firms rarely know their MC and MR curves precisely, and many set prices by adding a mark-up to average cost, which may approximate any of the objectives.
- The strongest answers identify who controls the firm, how competitive its market is, and over what time horizon, and use those three to decide which objective best describes its behaviour.
Pricing questions reward precise conditions. For each objective, state the rule: MC = MR for profit, MR = 0 for revenue, AR = AC for sales. For price discrimination, state all three conditions and the degree. For predatory pricing, say below average variable cost and with the intention of driving out a rival. Candidates who describe these in general terms without the precise condition consistently lose the knowledge marks.
Test yourself on the objectives and pricing of firms
define · explain · analyse · discuss · assess · evaluate