# list of exotic production functions?

Standard production functions are Cobb-Douglas, CES, Leontief.

The most exotic production function I have seen is the Ethier production function.

I am wondering whether there is a book/list of other exotic production functions. i.e. production functions with heterogeneous capital, integrals, etc.

I could not find it doing a google scholar search.

Belo (2010) uses a production function $$Y_{j,t} = \epsilon_{j,t} F^j(K_{j,t})$$ where a competitive producer $j$ is allowed to choose the state-contingent productivity level $\epsilon_{j,t}$, subject to the constraint set defined by the following analytically tractable CES aggregator: $$E_t\left[ \left( \frac{\epsilon_{j,t+1}}{\Theta_{j, t+1}}\right)^\alpha \right]^{1/\alpha} \leq 1.$$ In Cochrane's 2016 essay, "Macro-Finance", Cochrane mentions this specification as a potentially important ingredient for understanding the interaction of macroeconomics and financial markets: