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A note on concavity, homogeneity and non-Increasing returns to scale

Author

Listed:
  • Juan David Prada

    (Northwestern University and Banco de la República)

Abstract

This paper provides a simple proof of the result that if a production function is homogeneous, displays non-increasing returns to scale, is increasing and quasiconcave, then it is concave. If the function is strictly quasiconcave or one-to-one, homogeneous, displays decreasing returns to scale and if either it is increasing or if zero is in its domain, then it is strictly concave. Finally it is shown that we cannot dispense with these assumptions.

Suggested Citation

  • Juan David Prada, 2011. "A note on concavity, homogeneity and non-Increasing returns to scale," Economics Bulletin, AccessEcon, vol. 31(1), pages 100-105.
    • Handle: RePEc:ebl:ecbull:eb-10-00796
    as

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    References listed on IDEAS

    as
    1. Bone, John, 1989. "A Note on Concavity and Scalar Properties in Production," Bulletin of Economic Research, Wiley Blackwell, vol. 41(3), pages 213-217, July.
    2. Friedman, James W, 1973. "Concavity of Production Functions and Non-Increasing Returns to Scale," Econometrica, Econometric Society, vol. 41(5), pages 981-984, September.
    3. Ardeshir Dalal, 2000. "Strict concavity with homogeneity and decreasing returns to scale," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 28(3), pages 381-382, September.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Homogeneity; Concavity; Non-Increasing Returns to Scale and Production Function;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D2 - Microeconomics - - Production and Organizations

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