Working Paper No. 1328

Homogeneity, Returns to Scale and (Log)Concavity

Published: March 30, 2020Pages: 4Keywords: Homogeneity; Returns to scale; Rho-concavityJEL-codes: D21

Homogeneity, Returns to Scale and (Log)Concavity Per Hjertstrand

This brief note shows that if a production function, f, is quasiconcave, increasing and homogeneous, then f is concave if it displays nonincreasing returns to scale, and f is logconcave if it displays increasing returns to scale.


Hjertstrand, Per (2020), "Homogeneity, Returns to Scale and (Log)Concavity". IFN Working Paper No. 1328. Stockholm: Research Institute of Industrial Economics.

Per Hjertstrand


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This book explores the complex and ever-changing relationship between the European Union and its member states. The recent surge in tension in this relationship has been prompted by the actions of some member state governments as they question fundamental EU values and principles and refuse to implement common decisions seemingly on the basis of narrowly defined national interests.

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