  In Ramsey’s model anticipated output at each moment equals the sum of intended investment and intended consumption. Intentions are always realized. To put it in technical language, the economy is in equilibrium at each moment, which is another way of saying that at each moment intended saving equals intended investment. (The assumption needs no explanation in a model with a single agent, but has real bite in a world where savers are not the same agents as investors.) Capital is assumed to be always fully deployed, and labour (which is hidden in the production function \(F(K)\)) is taken to be fully employed. Output at \(t\) is \(F(K(t))\). It follows that the economy is driven by the dynamical equation