Coasellular Morphogenesis
The Coase theorem, applied to cells
Coasellular morphogenesis applies the Coase theorem from economics to biological development. Named after economist Ronald Coase, the theorem says that under well-defined rights and low transaction costs, parties can bargain their way to an efficient allocation regardless of who holds the rights to begin with.
Cells as bargaining agents
Here each cell acts as an economic agent that negotiates its morphological state through transactions with its neighbours. A transaction moves one unit of endowment from one cell to the next, so the total value across the tissue is conserved; bargaining only reallocates. Each cell maintains an energy budget for transactions and uses its neighbours as distributed memory, and the running friction of bargaining shapes the emergent pattern.
Two structural facts hold for every run: value is conserved across the grid, and every transaction spends energy proportional to the transaction cost. These are the conservation and friction halves of Coase's argument, and both are checked exactly in the calibration panel below.
- tissue model: a rows-by-columns grid of circles, each holding points (endowments) and an energy budget; circles rotate as a developmental clock that brings points into the boundary cone.
- transaction rule: adjacent boundary points pair up and move one unit of value from one cell to the other, charging both cells' energy by the transaction cost.
- distributed memory: a cell's next state depends on the points it shares with its neighbours rather than on a private store.
- deterministic core extracted from the stochastic live run: neighbour-pair counting, total-value conservation, and per-transaction energy friction.
- calibration: five structural invariants computed from the deterministic core (value conservation, 3x3 and 2x2 pair counts, unit-cost friction, cumulative friction) checked against their exact Coasean targets.
- framing kept honest: the economic agent and rotation-clock readings are marked contested or speculative; only conservation and transaction-cost friction are claimed as established.