flowchart LR EQ[MR = MC] --> Q[Profit-maximising<br/>output Q*] Q --> P[Read price P*<br/>from AR curve] P --> Pi[π = AR.Q − AC.Q] style EQ fill:#FFEBEE,stroke:#C62828 style Pi fill:#E8F5E9,stroke:#2E7D32
25 Price Determination Under Different Market Forms
25.1 What is a Market?
A market in economics is not a physical place but the whole system of buyers, sellers and the mechanism by which they exchange a good. Cournot’s (1838) classic statement: “By the term market, then, economists understand not any particular market place in which things are bought and sold, but the whole region in which buyers and sellers are in such free intercourse with one another that the prices of the same goods tend to equality, easily and quickly” (cournot1838?).
The structure of the market determines how much power a single seller has over price. Four classical market forms anchor the discussion: perfect competition, monopolistic competition, oligopoly, and monopoly.
| Feature | Perfect Competition | Monopolistic Competition | Oligopoly | Monopoly |
|---|---|---|---|---|
| Number of sellers | Very large | Large | Few | One |
| Product | Homogeneous | Differentiated | Homogeneous or differentiated | Unique |
| Entry / exit | Free | Free | Restricted | Blocked |
| Knowledge | Perfect | Imperfect | Imperfect | Asymmetric |
| Price | Given (price-taker) | Some control | Mutual interdependence | Price-maker |
| Demand curve facing firm | Horizontal | Steep, downward | Kinked / strategic | Market demand |
| Long-run profit | Normal only | Normal only | Possibly super-normal | Super-normal |
| Examples | Agricultural staples (idealised) | Restaurants, branded clothing | Cement, telecom, automobiles | Indian Railways (passenger), historic IRCTC ticketing |
25.2 Equilibrium Rule Common to All Forms
The first-order condition for profit maximisation is the same across every market form:
\[ \frac{d\pi}{dQ} = MR - MC = 0 \quad \Rightarrow \quad MR = MC \]
The second-order condition requires MC to be rising and to cut MR from below. What differs across market forms is the shape of the demand and MR curves the firm faces.
25.3 Perfect Competition
25.3.1 Features
| Feature | Working content |
|---|---|
| Very large number of buyers and sellers | Each is small relative to the market |
| Homogeneous product | Buyers are indifferent to source |
| Free entry and exit | No barriers |
| Perfect knowledge | Everyone knows prices and costs |
| Perfect mobility of factors | Resources flow to highest-valued use |
| No transport cost | One uniform price |
25.3.2 Demand and revenue curves
Each firm is a price-taker: it sells any quantity it likes at the prevailing market price. The firm’s demand curve is therefore horizontal at the market price. For the firm:
\[ P = AR = MR \]
The market demand curve, by contrast, slopes downward in the usual way.
25.3.3 Short-run equilibrium
The firm chooses output where \(MC = MR = P\). At that output it may earn:
- Super-normal profit if AR > AC,
- Normal profit if AR = AC,
- Loss (operates if AR ≥ AVC; shuts down if AR < AVC — the shut-down rule).
25.3.4 Long-run equilibrium
In the long run, free entry erodes super-normal profit; firms exit if there is loss. Equilibrium settles at:
\[ P = AR = MR = MC = SAC = LAC \text{ at minimum} \]
Each firm earns only normal profit. Production happens at the minimum point of the LAC — the firm uses an optimum-sized plant at its optimum capacity.
25.3.5 Supply curve
The firm’s short-run supply curve is its MC curve above the minimum AVC. Below that point, the firm shuts down rather than produce.
25.4 Monopoly
25.4.1 Features
A monopoly is a market with a single seller and no close substitutes. Causes include statutory grants (patents, licences, exclusive franchise), control of an essential input, natural monopoly (one firm can supply at lower cost than several), strategic deterrence, and economies of scale.
25.4.2 Demand and revenue
The monopolist faces the market demand curve, which slopes downward. Therefore \(AR > MR\) for all positive output, and:
\[ MR = AR \left(1 - \frac{1}{|E_p|}\right) \]
The MR curve lies below the AR (= demand) curve and (for a linear demand) has twice the slope of AR.
25.4.3 Equilibrium
At \(MR = MC\), the monopolist sets \(Q^*\) and reads off \(P^*\) from the demand curve. Since \(P > MR = MC\), the monopolist charges a price above marginal cost — the source of monopoly’s allocative inefficiency.
25.4.4 Long-run
Because entry is blocked, the monopolist can earn super-normal profit even in the long run. Long-run equilibrium needs only \(LMR = LMC\).
25.4.5 Price discrimination
When a monopolist charges different prices to different buyers of the same good, it is engaging in price discrimination. Three classical degrees were distinguished by Arthur C. Pigou (pigou1920?):
| Degree | Meaning | Example |
|---|---|---|
| First-degree (perfect) | Each buyer charged the maximum she is willing to pay | Customised B2B contracts; haggling |
| Second-degree | Different prices for different quantities | Bulk discount; tiered electricity tariffs |
| Third-degree | Different prices to different market segments | Student vs adult cinema tickets; weekday vs weekend |
Conditions for price discrimination: (i) monopoly power; (ii) separable markets — buyers in the cheap market cannot resell in the dear market; (iii) different elasticities across markets — the dearer market must be the more inelastic one.
The third-degree result: \(\frac{P_1}{P_2} = \frac{1 - 1/|E_2|}{1 - 1/|E_1|}\). In the more inelastic market the price is higher.
25.5 Monopolistic Competition — Chamberlin (1933)
Edward Chamberlin’s Theory of Monopolistic Competition (1933) and Joan Robinson’s Economics of Imperfect Competition (1933) — published in the same year — recognised that most real markets sit between perfect competition and monopoly (chamberlin1933?; robinson1933?).
25.5.1 Features
| Feature | Working content |
|---|---|
| Large number of sellers | Each firm small relative to the market |
| Product differentiation | Real or perceived; brands, packaging, design, location |
| Free entry and exit | Long-run drives profits to normal |
| Selling costs | Advertising and promotion are central |
| Imperfect knowledge | Consumers face search cost |
25.5.2 Demand curve
Each firm faces a highly elastic but downward-sloping demand curve, reflecting differentiation. Chamberlin distinguished two demand curves: a firm’s own demand (steep) and a share-of-the-market demand (flatter).
25.5.3 Equilibrium
Short run: \(MR = MC\) generates profit — possibly super-normal, possibly loss.
Long run: free entry drives profits to normal. The firm’s tangency equilibrium is:
\[ P = AR = AC > MC = MR \]
The tangency happens on the falling part of the AC curve — so production occurs at less than the optimum scale. This generates excess capacity — the famous “wastes” of monopolistic competition.
25.5.4 Wastes of monopolistic competition
- Excess capacity (firms produce below LAC’s minimum).
- Resources spent on advertising for differentiation rather than productive efficiency.
- Multiplicity of brands with marginal real differences.
25.6 Oligopoly
25.6.1 Features
| Feature | Working content |
|---|---|
| Few sellers | Two (duopoly) to a handful |
| Product can be homogeneous (cement, steel) or differentiated (cars, smartphones) | |
| Mutual interdependence | Each firm’s actions affect rivals’ decisions |
| Barriers to entry | Capital, technology, brand, regulation |
| Price rigidity | Prices are sticky relative to marginal cost |
| Non-price competition | Advertising, R&D, customer service |
25.6.2 Cournot model — 1838
Augustin Cournot’s pioneering duopoly model assumes each firm chooses its quantity, taking the rival’s quantity as given. The reaction functions of the two firms intersect at the Cournot-Nash equilibrium. For a linear demand and zero marginal cost, each firm produces one-third of the competitive output, and combined output is two-thirds — between monopoly (one-half) and perfect competition (the whole) (cournot1838?).
25.6.3 Bertrand model — 1883
Joseph Bertrand’s critique: in reality firms set price, not quantity. Two firms with identical, constant marginal cost selling a homogeneous product undercut each other until \(P = MC\) — the Bertrand paradox: just two firms suffice to reach the perfectly competitive outcome (bertrand1883?).
25.6.4 Stackelberg model — 1934
Heinrich von Stackelberg modified Cournot by allowing one firm — the leader — to choose first. The other — the follower — observes the leader’s quantity and best-responds. The leader produces more than its Cournot share and earns more profit; the first-mover advantage is the central result.
25.6.5 Kinked demand curve — Sweezy (1939)
Paul Sweezy’s kinked demand curve explains price rigidity under oligopoly. A firm believes that:
- If it raises price, rivals will not follow — its demand falls sharply. The demand curve is elastic above the prevailing price.
- If it cuts price, rivals will follow — its demand rises only modestly. The demand curve is inelastic below the prevailing price.
The demand curve has a kink at the prevailing price; the corresponding MR curve has a vertical discontinuity. Even when MC shifts within the discontinuity, the profit-maximising price does not change. Hence the price stickiness oligopoly is famous for (sweezy1939?).
25.6.6 Collusive oligopoly — cartel and price leadership
When mutual interdependence is recognised and exploited through agreement, the firms form a cartel. The joint-profit-maximising solution is identical to a multi-plant monopoly. Cartels are typically illegal under competition law (in India, under the Competition Act 2002). Tacit collusion and price leadership — dominant-firm leadership and barometric leadership — are alternative ways to coordinate without formal agreement.
25.6.7 Game theory note
Modern oligopoly theory is game-theoretic. A Nash equilibrium is a profile of strategies in which no firm can gain by unilaterally changing its own strategy. The Cournot equilibrium is a Nash equilibrium in quantities; the Bertrand equilibrium is a Nash equilibrium in prices. The classic Prisoner’s Dilemma explains why collusion is unstable: each firm has a private incentive to defect from the cartel.
25.7 Duopoly — A Note
A duopoly is the simplest oligopoly — two firms. The Cournot, Bertrand and Stackelberg models all originated as duopoly models and were later generalised to many firms.
25.8 Big Comparison — All Four Forms
| Dimension | Perfect Competition | Monopoly | Monopolistic Competition | Oligopoly |
|---|---|---|---|---|
| Equilibrium rule | MR = MC; P = MC | MR = MC; P > MC | MR = MC; P > MC; tangency at falling AC | MR = MC; outcome strategic |
| Long-run profit | Normal | Super-normal possible | Normal (entry) | Super-normal possible |
| Output | At minimum LAC | Less than competitive output | Less than minimum LAC (excess capacity) | Less than competitive output |
| Price | = MC | > MC | > MC | > MC |
| Allocative efficiency | Yes | No | No | No |
| Productive efficiency (output at min LAC) | Yes | No | No | No |
| Selling cost | Zero | Low | High | Often very high |
25.9 Exam-Pattern MCQs
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| Market form | Theorist | ||
| (i) | Monopolistic competition | (a) | Cournot |
| (ii) | Imperfect competition (1933) | (b) | Bertrand |
| (iii) | Cournot duopoly | (c) | Edward Chamberlin |
| (iv) | Bertrand price-setting duopoly | (d) | Joan Robinson |
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| Degree | Example | ||
| (i) | First-degree | (a) | Student vs adult cinema tickets |
| (ii) | Second-degree | (b) | Customised B2B contract pricing |
| (iii) | Third-degree | (c) | Bulk discount on volume purchases |
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| Model | Feature | ||
| (i) | Cournot | (a) | First-mover advantage; leader chooses quantity first |
| (ii) | Bertrand | (b) | Kinked demand curve and price rigidity |
| (iii) | Stackelberg | (c) | Each firm chooses quantity, taking rival's quantity as given |
| (iv) | Sweezy | (d) | Two firms setting price reach P = MC |
View solution
- Profit-max condition is MR = MC in every market form; what differs is the shape of the demand and MR curves.
- Perfect competition: many sellers, homogeneous product, free entry, \(P = AR = MR\), long-run \(P = MC = LAC\) at minimum, only normal profit.
- Monopoly: one seller, blocked entry, \(MR < AR\), \(P > MC\), super-normal profit possible long-run.
- Pigou’s three degrees of price discrimination: First (perfect), Second (by quantity), Third (by segment).
- Chamberlin (1933) monopolistic competition: many sellers, differentiation, long-run normal profit but excess capacity (tangency on falling AC).
- Joan Robinson (1933) independently developed imperfect competition.
- Oligopoly is mutually interdependent. Models: Cournot (1838) — quantity competition; Bertrand (1883) — price competition (P = MC); Stackelberg (1934) — leader-follower; Sweezy (1939) — kinked demand curve, price rigidity.
- Cartel = joint-profit-maximising agreement, illegal under Competition Act 2002 in India.
- Game theory: Nash equilibrium generalises Cournot’s reaction-function fixed point.
- Compared welfare: only perfect competition is both allocatively (P = MC) and productively (output at min LAC) efficient.