Fair division methods

Points bidding vs. maximum Nash welfare for estate items.

Both methods use preferences, but they can produce different outcomes. Estate Divvy uses maximum Nash welfare because it considers each person's overall bundle of items.

How simple points bidding works

In simple points bidding, each participant assigns points to items. A disputed item may go to the person who assigned it the highest score.

This is easy to understand, but it can create uneven overall outcomes if one person wins many high-value disputes and another person receives little of what they cared about.

How maximum Nash welfare works

Maximum Nash welfare considers the full allocation at once. It searches for a distribution that gives each participant a strong bundle according to their own submitted scores.

For additive preferences over goods, maximum Nash welfare is known to produce allocations with strong fairness properties, including envy-free up to one good.

Why Estate Divvy uses MNW

Estate items are indivisible: a ring, chair, photo album, or tool set usually goes to one person. MNW is a better fit than a pure highest-bidder rule because it balances outcomes across participants.

Why the calculation can take longer

Maximum Nash welfare is computationally hard, especially as the number of items and participants grows. Estate Divvy runs final calculation in the background and emails participants when results are ready.

Read the full fair-division explanation.