Faculty of Economics and Business Administration Publications Database

Approximate surrogate production functions

ISSN-Print: 0309-166X
Link External Source: Online Version
Year: 2013
Keywords: Capital theory; Production function; Aggregation; Random matrices

The Cambridge debate showed that an aggregation of capital is not possible in general. A recent investigation has found one example for reswitching and several for reverse capital deepening, but the paradoxes appear to be infrequent. The paper provides a theoretical justification of this result and shows how wage curves of input–output matrices with small non-dominant eigenvalues become quasi-linear with some numéraires. Large random systems lead to the genesis of such states. Approximate surrogate production functions then seem possible. A family of economic systems with constant capital composition allows construction of a surrogate production function.