Understanding the Herfindahl-Hirschman Index
You know how regulators keep an eye on big companies to make sure no one dominates an industry too much? They use something called the Herfindahl-Hirschman Index, or HHI, to compare the sizes of large firms and figure out if an industry is heading toward a monopoly.
Let me explain what the HHI is. It's a tool that measures how big companies are compared to the overall industry. You calculate it by taking each firm's market share, squaring it, and adding up all those squares. The result can be anywhere from almost zero to 10,000, where lower numbers mean more competition and less concentration.
Why the HHI Matters
I use the HHI as a standard way to gauge market concentration, especially before and after mergers or acquisitions. It's straightforward and helps determine if a market is competitive or not.
Here are the key points you need to know: The HHI tells us about market competitiveness. If it's under 1,500, the market is competitive. Between 1,500 and 2,500, it's moderately concentrated. Above 2,500, it's highly concentrated. The big downside is that it's too simple and doesn't capture all the nuances of different markets.
The Formula and How to Calculate It
The HHI is widely accepted for measuring concentration. You square each competing firm's market share and sum them up. It ranges from near zero to 10,000. The Department of Justice relies on it for antitrust reviews of mergers.
The formula looks like this: HHI = s1² + s2² + s3² + … + sn², where sn is the market share percentage of firm n, as a whole number, not a decimal.
What the HHI Reveals
If a market is close to a monopoly, its HHI is high, meaning low competition. A single firm with 100% share gives an HHI of 10,000—a pure monopoly. With thousands of firms, each with tiny shares, it's near zero—almost perfect competition.
The DOJ sees under 1,500 as competitive, 1,500 to 2,500 as moderate, and over 2,500 as high concentration. Mergers boosting HHI by more than 200 in highly concentrated markets often trigger antitrust worries, per the Horizontal Merger Guidelines from the DOJ and FTC.
The upside is how easy it is to calculate with minimal data. The downside? It's too basic and misses market complexities for a truly accurate picture.
An Example of HHI in Action
Let's say there's an industry with four firms: one with 40%, another with 30%, and two with 15% each. The HHI is 40² + 30² + 15² + 15² = 1,600 + 900 + 225 + 225 = 2,950. That's highly concentrated.
But the number of firms isn't everything. Imagine 20 firms where one has 48.59% and the rest have 2.71% each—that gives exactly 2,500, highly concentrated. If the top has 35.82% and others 3.38%, it's 1,500—competitive.
Limitations You Should Know
The HHI's simplicity is a double-edged sword. It doesn't always define the market realistically. For instance, if 10 companies each have 10% share, it looks competitive, but one might dominate a specific segment with 80-90%, acting like a monopoly there.
Geography matters too. Firms with equal shares might each control different regions, effectively monopolizing those areas. So, you have to define markets carefully and consider other factors for proper use.
A Bit of History on the HHI
The idea started in 1945 with economist Albert O. Hirschman's book on foreign trade, emphasizing larger firms' impact on competition. Then, in 1950, Orris C. Herfindahl adapted it for his dissertation on the steel industry, crediting Hirschman.
Interpreting the HHI
In short, the HHI measures concentration to check competitiveness, especially around M&A. High concentration means low competition, close to monopoly. Below 1,500 is competitive, 1,500-2,500 moderate, above 2,500 high. Mergers increasing it by over 200 in high-concentration markets raise red flags.
Its main strength is simplicity and needing little data, plus weighting bigger firms more, which beats simpler ratios.
The Bottom Line
You can use the HHI to gauge market competitiveness by measuring concentration. Under 1,500 means competitive, 1,500-2,500 moderate, and over 2,500 high. It's a tool regulators rely on to spot potential monopolies.
Other articles for you

Personal Consumption Expenditures (PCE) measures the value of goods and services purchased by U.S

A HIPAA Waiver of Authorization is a legal document allowing the use or disclosure of protected health information to third parties under HIPAA rules.

A quota is a government-imposed limit on the quantity or value of goods imported or exported to protect domestic industries and regulate trade.

A generation-skipping trust allows wealthy individuals to pass assets directly to grandchildren, bypassing estate taxes on the intermediate generation.

Substitutes are products or services that can replace others based on consumer preferences, influencing demand and market competition.

A voluntary export restraint is a self-imposed trade limit by an exporting country on the quantity of goods it can send to another country.

The harami cross is a candlestick pattern signaling potential trend reversals in trading.

Pooled funds combine money from multiple investors into a single portfolio for shared benefits like diversification and lower costs.

Cost per click (CPC) is an online advertising model where you pay only when users click on your ads, helping drive targeted website traffic.

A Tax-Free Savings Account (TFSA) is a Canadian account that allows tax-free growth on investments and withdrawals from after-tax contributions for anyone 18 and older.