Fair Split

The house cannot be cut in three, everyone valued it differently, and the sibling who wants it least still resents the one who got it — that is how estates turn into estrangements. Sealed-bid fair division (the Knaster procedure) fixes the structural problem: each person privately states what every item is worth to them, each item goes to whoever values it most, and cash transfers rebalance so that every single person ends up — by their own numbers — with more than their fair share. The person who wanted nothing gets paid; the person who got the house pays for the privilege at their own valuation. The bundled script does the arithmetic exactly, supports unequal entitlements (a 50/25/25 will, a 60/40 partnership), and proves the outcome to each participant in their own terms.

What This Skill Produces

• The procedure to run — how to collect sealed valuations so they are honest: privately, simultaneously, before anyone knows the mechanism rewards sincerity
• The computed allocation — who gets each item and the exact cash each person pays or receives, from the script
• The proof of fairness, per person — each participant shown ending above their own valuation of their fair share, which is the sentence that ends arguments
• The presentation script — how to explain the result to people who are grieving, angry, or both
• The edge-case handling — the item someone cannot afford to win, the sentimental object, the participant who refuses to play

Required Inputs

Ask for these if not provided:

• The people and their shares — who is dividing, and the entitlements (equal by default; a will or partnership agreement may set them unequal)
• The items — everything indivisible worth listing; small stuff can be bundled into lots
• The valuations — each person's private value for every item; if not yet collected, the skill's first output is the collection procedure, because how they are collected determines whether they are honest
• The constraints — anyone cash-poor (winning the house means paying the others — can they?), any item with a legal restriction, any participant acting for someone else