FA-12730 / Auction allocation rules / Member archive
Marginal pro-rata allocation loses residual units · case 05
Marginal pro-rata allocation loses residual units.
Case contract
For positive integer requests and capacity between zero and their sum, floor proportional shares then give one remaining unit to each largest fractional remainder, breaking ties by input order. Empty requests require zero capacity.
Why this case matters
Deterministic teaching model for reviewing auction allocation software; not a representation of any venue or financial advice.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| largest remainder is not first | [0, 1] | [1, 1] | Failed |
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