IDEAS home Printed from https://ideas.repec.org/p/hhs/iuiwop/1328.html
   My bibliography  Save this paper

Homogeneity, Returns to Scale and (Log)Concavity

Author

Listed:

Abstract

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.

Suggested Citation

  • Hjertstrand, Per, 2020. "Homogeneity, Returns to Scale and (Log)Concavity," Working Paper Series 1328, Research Institute of Industrial Economics.
  • Handle: RePEc:hhs:iuiwop:1328
    as

    Download full text from publisher

    File URL: https://www.ifn.se/wfiles/wp/wp1328.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ismaël Mourifié & Marc Henry & Romuald Méango, 2020. "Sharp Bounds and Testability of a Roy Model of STEM Major Choices," Journal of Political Economy, University of Chicago Press, vol. 128(8), pages 3220-3283.
    2. Daisuke Oyama & Yasuhiro Sato & Takatoshi Tabuchi & Jacques-François Thisse, 2009. "On the impact of trade on industrial structures: The role of entry cost heterogeneity," Working Papers halshs-00566786, HAL.
    3. Hervé Crès & Mich Tvede, 2001. "Proxy fights in incomplete markets: when majority voting and sidepayments are equivalent," Sciences Po publications 726/2001, Sciences Po.
    4. Mich Tvede & Hervé Crés, 2005. "Voting in assemblies of shareholders and incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 887-906, November.
    5. DavidP. Myatt & Chris Wallace, 2009. "Evolution, Teamwork and Collective Action: Production Targets in the Private Provision of Public Goods," Economic Journal, Royal Economic Society, vol. 119(534), pages 61-90, January.
    6. Madeleine Cule & Richard Samworth & Michael Stewart, 2010. "Maximum likelihood estimation of a multi‐dimensional log‐concave density," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(5), pages 545-607, November.
    7. Xefteris, Dimitrios, 2017. "Multidimensional electoral competition between differentiated candidates," Games and Economic Behavior, Elsevier, vol. 105(C), pages 112-121.
    8. Hervé Crès & M. Utku Ünver, 2010. "Ideology and Existence of 50%-Majority Equilibria in Multidimensional Spatial Voting Models," Journal of Theoretical Politics, , vol. 22(4), pages 431-444, October.
    9. Michel Le Breton & Shlomo Weber, 2003. "The Art of Making Everybody Happy: How to Prevent a Secession," IMF Staff Papers, Palgrave Macmillan, vol. 50(3), pages 1-4.
    10. Paul Anglin & Richard Arnott, 1999. "Are Brokers' Commission Rates on Home Sales Too High? A Conceptual Analysis," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 27(4), pages 719-749, December.
    11. Hervé Crès & Mich Tvede, 2013. "Production externalities: internalization by voting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(2), pages 403-424, June.
    12. von Thadden, Ernst-Ludwig, 2002. "An incentive problem in the dynamic theory of banking," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 271-292, September.
    13. Anderson, Simon P. & Renault, Regis, 2003. "Efficiency and surplus bounds in Cournot competition," Journal of Economic Theory, Elsevier, vol. 113(2), pages 253-264, December.
    14. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    15. Grandmont, Jean-Michel, 1992. "Transformations of the commodity space, behavioral heterogeneity, and the aggregation problem," Journal of Economic Theory, Elsevier, vol. 57(1), pages 1-35.
    16. Miravete, Eugenio J., 2011. "Convolution and composition of totally positive random variables in economics," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 479-490.
    17. Maria Gallego & Norman Schofield & Kevin McAlister & Jee Jeon, 2014. "The variable choice set logit model applied to the 2004 Canadian election," Public Choice, Springer, vol. 158(3), pages 427-463, March.
    18. Haimanko, Ori & Le Breton, Michel & Weber, Shlomo, 2005. "Transfers in a polarized country: bridging the gap between efficiency and stability," Journal of Public Economics, Elsevier, vol. 89(7), pages 1277-1303, July.
    19. Daisuke Oyama & Yasuhiro Sato & Takatoshi Tabuchi & Jacques‐François Thisse, 2011. "On the impact of trade on the industrial structures of nations," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(1), pages 93-109, March.
    20. Catherine Bobtcheff & Jérôme Bolte & Thomas Mariotti, 2017. "Researcher’s Dilemma," Review of Economic Studies, Oxford University Press, vol. 84(3), pages 969-1014.

    More about this item

    Keywords

    Homogeneity; Returns to scale; Rho-concavity;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hhs:iuiwop:1328. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/iuiiise.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Elisabeth Gustafsson (email available below). General contact details of provider: https://edirc.repec.org/data/iuiiise.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.