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the claim

There is a mathematical relationship between increasing and decreasing returns to scale and homogeneity

the verdict

SUPPORTED

the evidence backs this

confidence 77/100

Mathematical economics establishes a rigorous link between the homogeneity of production functions and their returns to scale, frequently formalized via Euler's theorem.

Evidence for · 2

A Theory for Building NEO-Classical Production Functions

2022 · cited by 1

Paper [5] outlines a formal mathematical theory constructing neoclassical production functions where homogeneity and constant returns to scale are fundamentally linked through Euler's equation.

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More for · 1

A Note on the Relationship among the Shape of the Production Possibility Frontier, ‘Returns to Scale’ and ‘Returns to Factors’ under Cobb–Douglas Production Function

2016 · cited by 1

Paper [6] establishes the direct mathematical relationships between various returns to scale, returns to factors, and functions such as Cobb-Douglas.

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first checked01 Aug 2026

judged → SUPPORTED · 7701 Aug 2026

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