Herfindahl-Hirschman Index (HHI) Calculator (Market Concentration)
Market concentration from up to six firms' market shares, the equivalent number of equal-sized firms, and how much a merger of the first two would raise the index.
Results
What this tool does
The HHI squares each firm's market share in percent and adds them up, so big firms count far more than small ones: a monopoly scores 10 000, four equal firms 2 500, and a market of many tiny firms nearly 0. Dividing 10 000 by the HHI gives the equivalent number of equal-sized firms. Two firms with shares a and b that merge raise the HHI by 2ab, the number competition authorities look at first. Their thresholds for 'concentrated' differ between authorities and have been revised over time — US guidelines used 2 500 in 2010 and 1 800 in 2023 — so check the current guidance. Firms not listed are treated as too small to matter.
Formula
HHI = Σ (market share in %)² · merger rise = 2 × share₁ × share₂ · equivalent firms = 10 000 ÷ HHI
Variables
| Symbol | Meaning | Unit |
|---|---|---|
s1 | Market share of firm 1 | % |
s2 | Market share of firm 2 | % |
s3 | Market share of firm 3 | % |
s4 | Market share of firm 4 | % |
s5 | Market share of firm 5 | % |
s6 | Market share of firm 6 | % |
HH | Herfindahl-Hirschman Index (HHI) | — |
EQ | Equivalent number of equal-sized firms | — |
TS | Combined share of the firms listed | % |
MC | Rise in HHI if firms 1 and 2 merged | — |
MH | HHI after that merger | — |
Worked example
- Market share of firm 135 %
- Market share of firm 225 %
- Market share of firm 315 %
- Market share of firm 410 %
- Market share of firm 55 %
- Market share of firm 60 %
- Herfindahl-Hirschman Index (HHI)2200
- Equivalent number of equal-sized firms4.55
- Combined share of the firms listed90.0 %
- Rise in HHI if firms 1 and 2 merged1750
- HHI after that merger3950
Limitations
- The default values are typical reference figures, not measurements of your situation. Replace them with your own data whenever you have it.
- The result is an estimate based only on the values you type. Real situations often include factors this calculator does not know about.