Fair and Square Feet — the roommate rent auction

Field notes

The mechanism asks every participant to allocate the entire rent across the listed rooms rather than submit a single preference. In the $3,000 example, Alex values the balcony most, Blair prefers the middle room, and Casey is indifferent; the resulting rents are $1,300, $900, and $800. The page identifies the calculation as the maximin envy-free rule of Alkan, Demange & Gale and links to related academic work.