Determine Proportional Trade Need
The ledger calculates proportional trade need using the following formula:
∫∫ (G₁ - G₂) dg dx
Where:
The double integral sums the difference between supply and demand across these variables. A positive result means surplus. A negative result means deficit. Zero means perfect equilibrium.
This model allows for a living, dynamic ledger that reflects the actual flow of energy and value between participants.