Market Concentration and HHI: What the Numbers Show

Pangolin cartographer and ibex scout examine patchwork share islands, entry and rivalry in an original paper-collage comic.

Market concentration measures how shares are distributed; it does not tell the whole competition story. Calculate HHI with consistent market shares, then check entry, substitutes and actual rivalry. Work through the existing cases and three new interactive questions.

Entry and product conditions still matter.

Check Four Structure-and-Conduct Cases

For these exercises, use percentage shares of independent firms in the same stated product and geographic market, measured on the same basis and for the same period. HHI is the sum of squared percentage shares. These are concentration calculations and economic reasoning exercises, not legal decisions about a real merger.

Two markets each have an HHI of 2,500. Entry is easy in Market A but requires a scarce government license in Market B. Which conclusion is best supported?

  1. The markets must have identical competitive behavior
  2. Market A must have higher prices
  3. Concentration alone cannot determine conduct because entry conditions differ
  4. Market B must be a monopoly
  5. HHI is irrelevant in both markets

Concentration alone cannot determine conduct because entry conditions differ The same concentration statistic can coexist with different competitive constraints. Easy entry may discipline Market A, while the license barrier can protect firms in Market B.

A four-firm market is highly concentrated, but buyers can switch to imports and firms frequently undercut one another. What additional evidence matters most before inferring market power?

  1. Only the firms’ names
  2. Import substitutability, entry conditions, and observed pricing conduct
  3. The number of employees in each firm
  4. Whether the product is advertised
  5. The industry’s total accounting revenue

Import substitutability, entry conditions, and observed pricing conduct Concentration describes structure, not the full competitive process. Close substitutes, credible entry, and actual rivalry can constrain prices even when a few domestic firms hold large shares.

A merger raises an industry’s HHI from 1,800 to 2,150. The change in HHI is

  1. 150
  2. 350
  3. 1,800
  4. 2,150
  5. 3,950

350 The increase is 2,150-1,800=350 points.

A market share distribution is 40, 30, 20, and 10 percent. The HHI is

  1. 1,000
  2. 2,000
  3. 3,000
  4. 4,000
  5. 10,000

3,000 HHI is 40^2+30^2+20^2+10^2=1,600+900+400+100=3,000.

Video Lesson: HHI, Its Calculation and Limits

A focused video lesson from Economics in Many Lessons.

Separate Structure from Outcomes

A few major sellers make rivals’ responses important, but oligopoly has no single automatic outcome. Entry, substitutes and observed rivalry help explain how firms compete. The HHI calculation is useful evidence of structure; it does not by itself establish a price, profit, strategy or agreement between firms.

Define the Market and Share Basis

First define what the shares measure. Specify the product or service, geographic area, period and measurement basis, such as sales revenue or units. Relevant foreign suppliers cannot simply be omitted because their owners are overseas. Conversely, an industry-wide statistic may hide a narrower competitive problem. Explain the market before interpreting its concentration.

Build an Evidence Chain

Build an evidence chain: identify the market, calculate its shares, examine competitive constraints and then test the stated explanation of conduct. A payoff matrix can establish best responses within its specified model. Observed price cuts alone do not reveal an entire payoff matrix or prove a particular equilibrium.

Check Credible Entry

Potential entry matters when a rival can enter with a meaningful competitive impact. An announced entrant or unused capacity is not enough by itself: check whether the capacity is usable and whether entry is feasible and timely. Sunk costs are costs that cannot be recovered on exit; they differ from the recurring costs of serving customers. Do not turn the phrase “easy entry” into a guaranteed price prediction.

Specify Actions and Timing

Strategic choices extend beyond price to capacity, location, product design, research, compatibility and advertising. Specify the available actions, timing, information and payoffs before claiming a first-mover advantage. Merely announcing a strategy is different from making a credible commitment that changes later choices.

Test the Proposed Commitment

For example, a capacity commitment may change post-entry incentives, but its effect depends on costs and demand. Product compatibility can change both network benefits and product differences. Research may create an advantage that rivals can imitate. These are questions for a specified model or evidence, not conclusions supplied by a concentration number.

Read the Conditional-Effects Reference

Market feature Possible strategic effect Limitation
High concentration Can make rivals’ actions more consequential Does not prove collusion
Easy entry Can constrain incumbent pricing Entry must be timely and profitable
Repeated interaction Makes punishment possible Requires detection and future orientation
Large buyer May strengthen bargaining options Requires credible switching or contracting alternatives
Differentiation Can change direct price rivalry Can invite niche entry

Test the Three-Carrier Story

Three invented carriers have empty seats and similar service on a route. Price cuts could generate rivalry, but visible fares can also help firms observe and respond to one another. Neither spare capacity nor transparency guarantees one outcome. Examine the actual responses, demand and costs before inferring competition or coordination; firm count alone does not settle the question.

Keep HHI Separate from Equilibrium

When the exam provides an HHI, calculate it as a separate concentration measure, then use described barriers and conduct for conclusions. Do not infer a particular Nash equilibrium from concentration alone. A payoff structure is needed.

Match the Prediction to the Evidence

If a problem specifies successful joint profit maximization, analyze that stated restriction within its assumptions. If it supplies a payoff matrix, identify each player’s best response. A bare statement that firms compete aggressively still does not give enough information to calculate an exact price or output. Keep qualitative evidence and numerical predictions separate.

Read the Payoff Order before Choosing

Matrices sometimes list A’s payoff first and sometimes use row-player, column-player conventions. Confirm the order before comparing numbers. Never choose a strategy by adding both firms’ payoffs unless the question asks for joint profit.

Check the Concentration Definitions

The U.S. Department of Justice’s HHI explanation defines the sum-of-squares measure. Its discussions of market definition and market shares explain why the product, geography and measurement basis matter. The agency’s coordination discussion identifies evidence beyond a firm count. OpenStax’s oligopoly lesson introduces interdependence and game-theory reasoning. The invented example below supplies no legal classification or real-market forecast.

Calculate HHI and a Merger Change

Five independent firms have percentage market shares of 32, 24, 18, 16 and 10 in the same defined market and period. Assume the 18% and 10% firms combine under one owner, their shares add, and every other share stays unchanged. Calculate HHI before and immediately after this hypothetical combination.

Check your reasoning

The initial shares total 100%. HHI is 32² + 24² + 18² + 16² + 10² = 1,024 + 576 + 324 + 256 + 100 = 2,280 points. Use percentage numbers consistently: squaring decimal shares gives 0.228, which must be multiplied by 10,000 to express the same result on the usual points scale.

After the combination, the shares are 32, 28, 24 and 16. HHI becomes 1,024 + 784 + 576 + 256 = 2,640. The increase is 360 points. The shortcut is (18 + 10)² − 18² − 10² = 2 × 18 × 10 = 360, with other shares held fixed. This is a points change, not a 360% increase.

Keep separate owners separate when squaring shares. Combining the two firms into a 28% share before the hypothetical merger would incorrectly describe the original ownership. The arithmetic establishes a concentration change. It does not calculate the resulting price, prove an agreement or decide whether an actual merger is lawful.

Try Three Concentration Questions

Choose one answer, then check your reasoning. These are short learning checks, not an exam score. If the controls are unavailable, the explanations remain readable below each question.

1. Five independent firms have shares of 32%, 24%, 18%, 16% and 10% in one defined market. What is HHI on the usual 0–10,000 points scale?

Answer B. 32² + 24² + 18² + 16² + 10² = 2,280. Decimal shares give 0.228 on a different scale; multiply that result by 10,000 to express 2,280 points.

2. The 18% and 10% firms combine, their shares add, and every other share stays fixed. How much does HHI increase?

Answer D. Replace 18² + 10² with 28². The change is 784 − 324 − 100 = 360 points, equivalently 2 × 18 × 10. The resulting total HHI is 2,640, not the increase.

3. Two markets have the same HHI, but one has credible new entry and readily usable substitutes while the other has a binding entry barrier. Which conclusion is justified?

Answer C. The concentration statistic measures shares, while the stated entry and substitution conditions supply additional evidence. Those facts do not give an exact price or guarantee zero profit, and they do not make HHI irrelevant.

Connect Concentration and Firm Decisions

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