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Business Economics · Profit maximisation under perfect competition and monopoly

Comparing Perfect Competition and Monopoly: Price, Output and Deadweight Loss

Updated 11 October 2026 · Fact-checked

Perfect competition has many price-taking firms, so price equals marginal cost and output is efficient. A monopoly is the sole seller, sets MR = MC and charges a price above MC. It produces less, charges more and creates deadweight loss. Price discrimination and regulation change this outcome.

Understand Comparing Perfect Competition and Monopoly

Start with the two extremes. In perfect competition there are many small firms, an identical product, free entry and exit, and full information. Each firm is a price taker. It cannot affect the market price, so its demand curve is flat and MR = P.

A monopoly is the only seller, with barriers to entry. It faces the whole market demand curve, which slopes down. To sell more, it must cut the price on all units. So its marginal revenue is below price: MR < P.

Both types of firm maximise profit where MR = MC. The difference is what happens next. The competitive firm has MR = P, so it produces where P = MC. The monopolist finds the output where MR = MC, then reads the price from the demand curve. That price is above MC. So the monopoly charges a higher price and sells a lower quantity than a competitive industry would, assuming the same cost curves.

This matters for welfare. At P = MC, the value of the last unit to buyers equals its cost to produce. This is allocative efficiency. Under monopoly, P > MC, so some units that buyers value more than they cost are never made. The lost surplus is the deadweight loss. Part of consumer surplus also moves to the monopolist as extra profit. That is a transfer, not a loss.

Policy follows from this. A monopolist may practise price discrimination: charging different prices to different buyers for the same product. It may also be regulated, especially a natural monopoly, where average cost keeps falling over the relevant output, so one firm is cheapest.

Key rules to remember

Profit-maximising rule
MR = MC (with MC cutting MR from below)
Applies to every firm. Only MR differs between the two structures.
Perfect competition condition
P = MR = MC
Price taker. Long-run equilibrium also has P = minimum AC and zero economic profit.
Monopoly condition
MR = MC, then P from demand, so P > MC
Output is set by MR = MC, price is read off the demand curve above that output.
Linear demand and MR
If P = a − bQ, then TR = aQ − bQ² and MR = a − 2bQ
MR has the same intercept and twice the slope. Valid for straight-line demand.
Deadweight loss (linear case)
DWL = ½ × (Q_c − Q_m) × (P_m − MC)
Valid for linear demand and constant MC. Q_c is the competitive output where P = MC. Q_m is the monopoly output.
Monopoly profit
π = (P − AC) × Q
Use AC at the monopoly output.
Perfect price discrimination
Each unit sold at the buyer's maximum willingness to pay; output where P = MC
Output equals the competitive level. The firm takes all surplus and DWL is zero.
Third-degree discrimination
MR₁ = MR₂ = MC
Set across separate markets. The market with less elastic demand gets the higher price.
Regulation benchmarks
Marginal cost price: P = MC. Average cost price: P = AC
For a natural monopoly, P = MC may give a loss, since MC < AC when AC is falling.

How to solve Comparing Perfect Competition and Monopoly questions

Use this order for any question that compares the two structures or asks about discrimination and regulation.

  1. 1Identify the market structure and write down what the firm faces: a flat demand line for a price taker, a downward-sloping demand curve for a monopolist.
  2. 2Write the revenue side. For a price taker, MR = P. For a monopolist, find TR = P × Q and differentiate to get MR, or use MR = a − 2bQ for linear demand.
  3. 3Apply MR = MC and solve for output.
  4. 4Find price. A price taker uses the market price. A monopolist substitutes the output into the demand curve, not into MR.
  5. 5Compute profit as (P − AC) × Q, if cost data are given.
  6. 6For comparisons, find the competitive outcome by setting P = MC. Then compare price, output, consumer surplus, producer surplus and deadweight loss.
  7. 7For discrimination or regulation questions, state the type or rule, apply the condition (MR = MC in each market, or P = MC or P = AC), and say who gains and loses.
  8. 8Finish with a one-line conclusion on efficiency and welfare.

Quickest way: Linear demand, constant MC shortcut

When to use it: Use this when demand is a straight line and MC is constant. It is common in MCQs and short calculations.

  1. Competitive output: solve a − bQ = MC. Q_c = (a − MC) ÷ b.
  2. Monopoly output: solve a − 2bQ = MC. Q_m = (a − MC) ÷ 2b. This is exactly half of Q_c.
  3. Monopoly price: P_m = a − bQ_m. It is halfway between a and MC.
  4. Deadweight loss: ½ × (Q_c − Q_m) × (P_m − MC).
  5. Check: DWL equals one quarter of the maximum total surplus, which is the area ½ × Q_c × (a − MC).

Common mistakes in Comparing Perfect Competition and Monopoly

  • Setting a monopolist's price equal to MR or reading price from the MR curve.

    MR = MC gives output, and students forget the next step.

    Fix: After finding Q from MR = MC, always substitute Q into the demand curve to get P.

  • Writing MR = P for a monopoly.

    The rule is true for price takers and gets over-applied.

    Fix: For a monopoly, MR < P because a price cut applies to all units. For linear demand, MR has twice the slope.

  • Counting the whole fall in consumer surplus as deadweight loss.

    Students forget that part of it becomes monopoly profit.

    Fix: Deadweight loss is only the triangle of surplus that nobody gets. The rectangle is a transfer to the producer.

  • Saying a monopoly always earns a large profit.

    Monopoly is linked with high prices in students' minds.

    Fix: Profit depends on P versus AC. A monopolist can break even or make a loss if demand is weak relative to cost.

  • Stating that price discrimination is always bad for welfare.

    It is treated as the same thing as monopoly pricing.

    Fix: Perfect discrimination removes deadweight loss, though it moves all surplus to the firm. Say that output rises while consumers lose surplus. Effects of other types are mixed.

  • Proposing P = MC as the regulated price for a natural monopoly without comment.

    P = MC is the efficiency rule, so students stop there.

    Fix: With falling AC, MC < AC, so the firm makes a loss at P = MC. Mention a subsidy, two-part tariff or average cost pricing as options.

Worked examples

Example 1

A market has demand P = 100 − 2Q. All firms have constant MC = ₹20 and no fixed cost. Find price and output under perfect competition and under monopoly, and the deadweight loss of the monopoly.

Show the solution
  1. Perfect competition: set P = MC. 100 − 2Q = 20, so 2Q = 80 and Q_c = 40. Price = ₹20.
  2. Monopoly: TR = 100Q − 2Q², so MR = 100 − 4Q.
  3. Set MR = MC: 100 − 4Q = 20, so Q_m = 20.
  4. Price from demand: P_m = 100 − 2 × 20 = ₹60.
  5. Check: Q_m = 20 is half of Q_c = 40, as expected.
  6. DWL = ½ × (40 − 20) × (60 − 20) = ½ × 20 × 40 = 400 (in ₹ if P is in ₹ per unit).

Answer: Perfect competition: Q = 40, P = ₹20. Monopoly: Q = 20, P = ₹60. Deadweight loss = ₹400.

Example 2

A firm sells in two separate markets. Market 1: P₁ = 80 − Q₁. Market 2: P₂ = 50 − Q₂. MC = ₹10 is constant. The firm cannot resell across markets and can discriminate. Find the price in each market and total revenue.

Show the solution
  1. Market 1: TR₁ = 80Q₁ − Q₁², so MR₁ = 80 − 2Q₁.
  2. Set MR₁ = MC: 80 − 2Q₁ = 10, so Q₁ = 35.
  3. P₁ = 80 − 35 = ₹45.
  4. Market 2: TR₂ = 50Q₂ − Q₂², so MR₂ = 50 − 2Q₂.
  5. Set MR₂ = 10: 50 − 2Q₂ = 10, so Q₂ = 20.
  6. P₂ = 50 − 20 = ₹30.
  7. Total revenue = 45 × 35 + 30 × 20 = 1,575 + 600 = ₹2,175.
  8. Market 1 has less elastic demand at the chosen point (elasticity about 1.29 against 1.5 in market 2), so it pays the higher price, ₹45 against ₹30. The slopes are equal, so steepness is not the reason.

Answer: P₁ = ₹45 with Q₁ = 35; P₂ = ₹30 with Q₂ = 20; total revenue = ₹2,175.

Exam tips

  • For calculation questions, show MR, then MR = MC, then the demand substitution. Examiners give marks for each stage.
  • For discussion questions, structure your answer as price, output, efficiency, then welfare. Use the words allocative efficiency and deadweight loss.
  • Draw a clean diagram if you can: demand, MR, MC, Q_m, P_m, Q_c and the DWL triangle. Label every curve and point.
  • In regulation questions, give at least two tools (price cap, rate-of-return regulation, subsidy, competition policy) with one drawback each. Link the answer to the data given in the question.
  • In MCQs, check whether the question asks for price or output, and watch for transfer versus deadweight loss.

Practice questions from Profit maximisation under perfect competition and monopoly

Comparing Perfect Competition and Monopoly in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Comparing Perfect Competition and Monopoly: frequently asked questions

What is the main difference between perfect competition and monopoly?

A perfectly competitive firm is a price taker and sets P = MC. A monopolist is the only seller, faces the market demand curve and sets MR = MC, so P > MC. As a result, monopoly output is lower and price is higher, other things equal.

What is the deadweight loss of monopoly?

It is the surplus lost because the monopolist produces less than the competitive output. Units whose value to buyers exceeds their cost are not made. It is the triangle between the demand curve and the MC curve, from monopoly output to competitive output.

What are the types of price discrimination?

First-degree charges each buyer their maximum willingness to pay. Second-degree charges by quantity or version, such as bulk discounts. Third-degree charges different groups different prices, such as student and adult tickets. It needs market power, separable markets and no resale.

How is a natural monopoly regulated?

Common tools are a price cap, rate-of-return regulation and average cost pricing (P = AC). Marginal cost pricing is efficient but can cause losses, so a subsidy or two-part tariff may be needed. Each tool has costs, such as weak incentives to cut costs.