fairdivison
Fair division is a field of study in economics and mathematics concerned with allocating resources among individuals or groups in a way that is considered fair according to formal criteria. The resources may be divisible, such as a cake or land, or indivisible, such as houses orUnique items. Each participant is assumed to have a valuation function that assigns a value to any portion of the resource.
Common fairness criteria include envy-freeness, proportionality, and equitability. Envy-freeness requires that no participant prefers someone else’s
Problems with divisible goods, often framed as cake-cutting, typically seek proportional or envy-free divisions. For any
When goods are indivisible, perfect envy-freeness may be impossible, and fairness goals shift to approximate envy-freeness,
Fair division has applications in inheritance, divorce settlements, public resource allocation, and multi-agent systems, and remains