Skip to main content
Log in

Duality in the analysis of monopsony in the labor market

  • Published:
Central European Journal of Operations Research Aims and scope Submit manuscript

Abstract

Duality in microeconomic theory refers to the description of the same economic phenomenon by different sets of variables: quantities and prices. It relies on the price-taking behavior of economic agents. This paper takes the challenge of delivering a comprehensive analysis of monopsony in the labor market from a duality perspective. The standard monopsonist's short-run normalized profit maximization model is enriched by the introduction of the non-wage determinant of the labor supply which takes the role of the price of the newly introduced pseudo labor. The pseudo production and pseudo cost functions are identified as dual functions of the short-run normalized profit function of monopsonist for the given labor supply function. Duality as a way of thinking enables an elegant derivation of a version of Hotelling’s lemma in the monopsony case. Finally, comparative statistics reveal interesting economic relations, important for the empirical investigation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1

Similar content being viewed by others

References

  • Ashenfelter OC, Farber H, Ransom MR (2010) Modern models of monopsony in labor markets: tests and estimates. J Law Econ 28(2):203–210

    Google Scholar 

  • Binger RB, Hoffman E (1998) Microeconomics with calculus, 2nd edn. Addison-Wesley, MA

    Google Scholar 

  • Blume LE (2008a) Convex programming. In: Durlauf SN, Blume LE (eds) The new palgrave dictionary of economics. Palgrave Macmillan, New York

    Google Scholar 

  • Blume LE (2008b) Duality. In: Durlauf SN, Blume LE (eds) The new palgrave dictionary of economics. Palgrave Macmillan, New York

    Google Scholar 

  • Boal WM, Ransom MR (1997) Monopsony in Labor Market. Journal of Economic Literature 35(1):86–112

    Google Scholar 

  • Diewert WE (1982) Duality approaches to microeconomic theory. In: Intriligator MD, Arrow KJ (eds) Handbook of mathematical economics. North-Holland, Amsterdam

    Google Scholar 

  • Jehle G, Reny P (2011) Advanced microeconomic theory, 3rd edn. Financial Times Prentice Hall, London

    Google Scholar 

  • Krpan M (2021) Monopsony in labor market: short-run profit maximization model from duality perspective. In: Drobne S, Zadnik Stirn L, Kljajić Borštnar M, Povh J, Žerovnik J (ed) Proceedings of the 16th international symposium on operational research in Slovenia SOR ’21, 578–583

  • Lau LJ (1978) Applications of profit function. In: Fuss M, McFadden D (ed) Production economics: a dual approach to theory and applications

  • Robinson J (1969) The economics of imperfect competition. Palgrave Macmillan, London

    Book  Google Scholar 

  • Rockafellar RT (1970) Convex analysis. Princeton University Press, Princeton

    Book  Google Scholar 

  • Varian HR (1992) Microeconomic analysis. Nortonons, New York

    Google Scholar 

  • Vrankić I, Krpan M (2017a) Short run profit maximization in a convex analysis framework. Interdiscipl Descr Complex Syst INDECS 15(1):1–15

    Article  Google Scholar 

  • Vrankić I, Krpan M (2017b) Pseudoproduction, pseudocost and profit functions in monopoly from the dual perspective. Bus Syst Res Int J Soc Adv Innov Res Econ 7(2):49–64

    Google Scholar 

  • Vrankić I, Šohinger J, Krpan M (2019) Economic analysis of technology and properties of legendre-fenchel transformations. Int J of Econ Sci 8(2):159–183

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mira Krpan.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Krpan, M. Duality in the analysis of monopsony in the labor market. Cent Eur J Oper Res 31, 975–990 (2023). https://doi.org/10.1007/s10100-022-00828-y

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10100-022-00828-y

Keywords

Navigation