Just a bit of a conceptual question regarding the Leontief production function and the concept of total factor productivity (TFP).
In particular, I wondered if these two concepts are at odds?
The Leontief production function assumes output is proportional to input. Output is thus explained by inputs.
Yet, TFP is the portion of output unexplained by inputs. Therefore, there is some hiddenness regarding TFP beyond simple proportionality.
As such, I wondered if there is any room for the concept of TFP in a Leontief production (and thus input-output analysis), or if TFP is only suitable with more flexible Cobb-Douglas-like production functions?
Would be good to hear your thoughts.