Costant uncertainty and Ramsey

Ramsey tells us that there is an efficient structure for spreading information when the agents have some common structure. We expect a spanning tree like structure spreading information at NlogN rather than N squared.

Humans and other mammals with a predilection for a comfortable certainty band for life would offer efficiencies of scale for herd operations. The broader the uncertainty range, the smaller the N in NlogN. That leads to the best measured result with the fewest transactions. Herds would adapt themselves to spanning tree like organizations.

So there is a balance, lowering the dimensionality increases measurement efficiency but increases the probability any agent will be out of the comfort zone. Call that the optimum Ramsey number, or optimum rank.