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

the verdict

SUPPORTED

the evidence backs this

Recorded sources

2 sources for · 0 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

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

The analysis

The claim asks whether there is a mathematical relationship between increasing/decreasing returns to scale and homogeneity. Neoclassical economic theory and production function mathematics (e.g., Euler's theorem linking homogeneous functions of degree k to returns to scale) establish this directly. Papers [5] and [6] explore the mathematical and formal relationships between homogeneity and returns to scale, supporting the claim.

Evidence for · 2

A Theory for Building NEO-Classical Production Functions

Recorded source metadata

Oscar Orellana, R. Fuentes. A Theory for Building NEO-Classical Production Functions. 2022. https://doi.org/10.13189/aeb.2022.100101

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.

Source citation format

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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

Recorded source metadata

Merter Mert. 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. https://doi.org/10.1177/2321022215624035

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

Source citation format

The paper trail · every fact has a biography

first checked01 Aug 2026

judged → SUPPORTED · 7701 Aug 2026

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