Description
Compare Hare and integer Droop quota formulas, without selecting an electoral system.
Election and representation indicators depend on the selected vote, seat, population, or eligibility denominator. A threshold also needs an explicit equality and rounding rule. A single quotient, balance, or share can support a larger counting workflow without implementing the full electoral procedure.
Compare Hare and integer Droop quota formulas, without selecting an electoral system.
When to use this tool
Use Hare Droop Quota Rounding Gap when you need this particular counting term under an explicit vote, seat, threshold, or reporting-base rule.
How to use the tool and how it works
- Enter votes, seats. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read hare, droop, gap. Use the output convention below.
For nonnegative integer votes and positive integer seats return hare=votes/seats, droop=floor(votes/(seats+1))+1, and gap=hare-droop.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| votes | Votes | Required. Safe integer; minimum 0. |
| seats | Seats | Required. Safe integer; minimum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| hare | Hare | Required. Finite number. |
| droop | Droop | Required. Safe integer. |
| gap | Signed difference under the stated formula and measurement unit. | Required. Finite number. |
{
"input": {
"votes": 1000,
"seats": 4
},
"output": {
"hare": 250,
"droop": 201,
"gap": 49
}
}Limitations and assumptions
- The returned Droop formula yields one even when votes is zero. These are quota terms, without transfers, party eligibility, or a complete election allocation.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Compare the supplied counting rule with the authoritative procedure for the relevant election or chamber. Complete allocations need additional eligibility, ranking, transfer, tie, and reporting rules beyond one arithmetic term.
References
Similar or alternative tools
- District Magnitude Vote Quota Term
Hare votes-per-seat quotient on an explicit valid-vote base.
- Political Science: Referendum Quota Equality Policy
Evaluate an explicit referendum-style rational quota using exact bounded cross products and a declared equality policy; not an electoral-law lookup.