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Statistics

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

Herfindahl-Hirschman Index (HHI) 2200
Equivalent number of equal-sized firms 4.55
Combined share of the firms listed 90.0 %
Rise in HHI if firms 1 and 2 merged 1750
HHI after that merger 3950

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

SymbolMeaningUnit
s1Market share of firm 1%
s2Market share of firm 2%
s3Market share of firm 3%
s4Market share of firm 4%
s5Market share of firm 5%
s6Market share of firm 6%
HHHerfindahl-Hirschman Index (HHI)—
EQEquivalent number of equal-sized firms—
TSCombined share of the firms listed%
MCRise in HHI if firms 1 and 2 merged—
MHHHI 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.