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Average-cost efficiency and optimal scale sizes in non-parametric analysis. (English) Zbl 1341.91098

Summary: Under fairly general assumptions requiring neither a differentiable frontier nor a constant-returns-to-scale technology, this paper introduces a new definition of an optimal scale size based on the minimization of unit costs. The corresponding measure, average-cost efficiency, combines scale and allocative efficiency, and generalizes the measurement of scale economies in efficiency analysis while providing a performance criterion which is stricter than both cost efficiency and scale efficiency measurement. The average-cost efficiency is not reliant upon the uniformity of the firms’ input-price vector, and we supply procedures to compute it in both convex and non-convex production technologies. Empirical illustration of the theoretical results is given with reference to large sets of production units.

MSC:

91B38 Production theory, theory of the firm
90C08 Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.)
91B82 Statistical methods; economic indices and measures
62G99 Nonparametric inference

Software:

sfa; Benchmarking
Full Text: DOI

References:

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