IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/121433.html
   My bibliography  Save this paper

Wage bargaining and capital accumulation: A dynamic version of the monopoly union model

Author

Listed:
  • Guerrazzi, Marco

Abstract

In this paper, I explore the relationship between wage bargaining and capital accumulation by developing a differential game in which a monopolistic union sets the wage of its members by taking as given the optimal employment strategy of a representative firm and the way in which capital is evaluated over time. Under the assumption that investment amounts to a constant share of produced output, I show that a meaningful open-loop Stackelberg equilibrium requires the union to be more patient than the firm. Moreover, relying on some numerical simulations, I show that although adjustments towards the steady-state equilibrium occur through damped oscillations, after an initial period of decline the model predicts a stable union wage premium.

Suggested Citation

  • Guerrazzi, Marco, 2024. "Wage bargaining and capital accumulation: A dynamic version of the monopoly union model," MPRA Paper 121433, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:121433
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/121433/1/MPRA_paper_121433.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Budd, John W & Na, In-Gang, 2000. "The Union Membership Wage Premium for Employees Covered by Collective Bargaining Agreements," Journal of Labor Economics, University of Chicago Press, vol. 18(4), pages 783-807, October.
    3. Saqib Jafarey & Yannis Kaskarelis & Natasha Miaouli, 1998. "Wage Determination and Capital Decisions in a Dynamic Monopoly Union Model," Ekonomia, Cyprus Economic Society and University of Cyprus, vol. 2(1), pages 73-89, Summer.
    4. Calvo, Guillermo A, 1978. "On the Time Consistency of Optimal Policy in a Monetary Economy," Econometrica, Econometric Society, vol. 46(6), pages 1411-1428, November.
    5. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    6. Henry S. Farber & Alan B. Krueger, 1992. "Union Membership in the United States: The Decline Continues," Working Papers 685, Princeton University, Department of Economics, Industrial Relations Section..
    7. Lambertini,Luca, 2018. "Differential Games in Industrial Economics," Cambridge Books, Cambridge University Press, number 9781107164680, October.
    8. Marco Guerrazzi, 2023. "Optimal growth with labor market frictions," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(4), pages 961-987, December.
    9. Bosi, Stefano & Desmarchelier, David, 2019. "Local bifurcations of three and four-dimensional systems: A tractable characterization with economic applications," Mathematical Social Sciences, Elsevier, vol. 97(C), pages 38-50.
    10. Cripps, Martin W, 1997. "Bargaining and the Timing of Investment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 527-546, August.
    11. Barry T. Hirsch & Edward J. Schumacher, 2004. "Match Bias in Wage Gap Estimates Due to Earnings Imputation," Journal of Labor Economics, University of Chicago Press, vol. 22(3), pages 689-722, July.
    12. Grout, Paul A, 1984. "Investment and Wages in the Absence of Binding Contracts: A Nash Bargining Approach," Econometrica, Econometric Society, vol. 52(2), pages 449-460, March.
    13. Devereux, Michael B. & Lockwood, Ben, 1991. "Trade unions, non-binding wage agreements, and capital accumulation," European Economic Review, Elsevier, vol. 35(7), pages 1411-1426, October.
    14. Manning, Alan, 1987. "An Integration of Trade Union Models in a Sequential Bargaining Framework," Economic Journal, Royal Economic Society, vol. 97(385), pages 121-139, March.
    15. Pelgrin, Florian & Venditti, Alain, 2022. "On the long-run fluctuations of inheritance in two-sector OLG models," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    16. P. E. Gabriel & S. Schmitz, 2014. "A longitudinal analysis of the union wage premium for US workers," Applied Economics Letters, Taylor & Francis Journals, vol. 21(7), pages 487-489, May.
    17. Marika Karanassou & Hector Sala & Pablo F. Salvador, 2008. "Capital accumulation and unemployment: new insights on the Nordic experience," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 32(6), pages 977-1001, November.
    18. Henry S. Farber & Alan Krueger, 1992. "Union Membership in the United States: The Decline Continues," Working Papers 685, Princeton University, Department of Economics, Industrial Relations Section..
    19. Jörn-Steffen Pischke, 2005. "Labor Market Institutions, Wages, and Investment: Review and Implications," CESifo Economic Studies, CESifo Group, vol. 51(1), pages 47-75.
    20. Açıkgöz, Ömer Tuğrul & Kaymak, Barış, 2014. "The rising skill premium and deunionization," Journal of Monetary Economics, Elsevier, vol. 63(C), pages 37-50.
    21. Colin Lawrence & Robert Z. Lawrence, 1985. "Manufacturing Wage Dispersion: An End Game Interpretation," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 16(1), pages 47-116.
    22. Guerrazzi, Marco & Candido, Giuseppe, 2023. "The determination of the price of capital goods: A differential game approach," MPRA Paper 119118, University Library of Munich, Germany.
    23. Holm, Pasi & Honkapohja, Seppo & Koskela, Erkki, 1994. "A monopoly-union model of wage determination with capital and taxes: An empirical application to the Finnish manufacturing," European Economic Review, Elsevier, vol. 38(2), pages 285-303, February.
    24. Chen, Yan-Shing & Chen, I-Ju, 2013. "The impact of labor unions on investment-cash flow sensitivity," Journal of Banking & Finance, Elsevier, vol. 37(7), pages 2408-2418.
    25. Bosi, Stefano & Desmarchelier, David, 2019. "Local bifurcations of three and four-dimensional systems: A tractable characterization with economic applications," Mathematical Social Sciences, Elsevier, vol. 97(C), pages 38-50.
    26. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, October.
    27. Alberto Bressan & Yilun Jiang, 2020. "Self-consistent Feedback Stackelberg Equilibria for Infinite Horizon Stochastic Games," Dynamic Games and Applications, Springer, vol. 10(2), pages 328-360, June.
    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. Guerrazzi, Marco & Candido, Giuseppe, 2023. "The determination of the price of capital goods: A differential game approach," MPRA Paper 119118, University Library of Munich, Germany.
    2. Ameri, Mason & Ali, Mohammad & Schur, Lisa & Kruse, Douglas L., 2019. "Disability and the Unionized Workplace," IZA Discussion Papers 12258, Institute of Labor Economics (IZA).
    3. David Blanchflower & Alex Bryson, 2004. "The Union Wage Premium in the US and the UK," CEP Discussion Papers dp0612, Centre for Economic Performance, LSE.
    4. Tingting Zhang, 2019. "Effects of Occupational Licensing and Unions on Labour Market Earnings in Canada," British Journal of Industrial Relations, London School of Economics, vol. 57(4), pages 791-817, December.
    5. Sanz, Nicolas & Schwartz, Sonia, 2013. "Are pollution permit markets harmful for employment?," Economic Modelling, Elsevier, vol. 35(C), pages 374-383.
    6. Maxime Menuet & Alexandru Minea & Patrick Villieu & Anastasios Xepapadeas, 2020. "Economic Growth and the Environment: A Theoretical Reappraisal," DEOS Working Papers 2031, Athens University of Economics and Business.
    7. Antonis Adam & Thomas Moutos, 2009. "Pension Funding In A Unionized Economy," Scottish Journal of Political Economy, Scottish Economic Society, vol. 56(2), pages 213-231, May.
    8. Erkki Koskela & Mikko Puhakka, 2006. "Stability and Dynamics in an Overlapping Generations Economy under Flexible Wage Negotiation and Capital Accumulation," CESifo Working Paper Series 1840, CESifo.
    9. Hirsch, Barry T. & Prasad, Kislaya, 1995. "Wage-employment determination and a union tax on capital: Can theory and evidence be reconciled?," Economics Letters, Elsevier, vol. 48(1), pages 61-71, April.
    10. Brändle, Tobias, 2024. "Unions and Collective Bargaining: The Influence on Wages, Employment and Firm Survival," GLO Discussion Paper Series 1457, Global Labor Organization (GLO).
    11. Masahiko Hattori & Yasuhito Tanaka, 2019. "General analysis of dynamic oligopoly with sticky price," Economics Bulletin, AccessEcon, vol. 39(4), pages 2990-2998.
    12. Kjell Erik Lommerud & Odd Rune Straume, 2012. "Employment Protection Versus Flexicurity: On Technology Adoption in Unionised Firms," Scandinavian Journal of Economics, Wiley Blackwell, vol. 114(1), pages 177-199, March.
    13. Shohei Yoshida, 2018. "Bargaining power and firm profits in asymmetric duopoly: an inverted-U relationship," Journal of Economics, Springer, vol. 124(2), pages 139-158, June.
    14. Lommerud, Kjell Erik & Meland, Frode & Straume, Odd Rune, 2009. "Can deunionization lead to international outsourcing?," Journal of International Economics, Elsevier, vol. 77(1), pages 109-119, February.
    15. Akhand Akhtar Hossain, 2009. "Central Banking and Monetary Policy in the Asia-Pacific," Books, Edward Elgar Publishing, number 12777.
    16. John Addison & Paulino Teixeira & Katalin Evers & Lutz Bellmann, 2014. "Indicative and Updated Estimates of the Collective Bargaining Premium in Germany," Industrial Relations: A Journal of Economy and Society, Wiley Blackwell, vol. 53(1), pages 125-156, January.
    17. Emin Dinlersoz & Jeremy Greenwood & Henry Hyatt, 2017. "What Businesses Attract Unions? Unionization over the Life Cycle of U.S. Establishments," ILR Review, Cornell University, ILR School, vol. 70(3), pages 733-766, May.
    18. Almas Heshmati & Ilham Haouas, 2004. "The effects of union wage-settings on firms' production factor decisions," Applied Economics Letters, Taylor & Francis Journals, vol. 11(7), pages 415-420.
    19. Sjögren, Tomas, 2017. "Can a Marginally Distorted Labor Market Improve Capital Accumulation, Output and Welfare?," Umeå Economic Studies 946, Umeå University, Department of Economics.
    20. Vannetelbosch, Vincent J., 1996. "Testing between alternative wage-employment bargaining models using Belgian aggregate data," Labour Economics, Elsevier, vol. 3(1), pages 43-64, August.

    More about this item

    Keywords

    Monopoly union model; Capital accumulation; Binding wage contracts; Differential games; Open-loop Stackelberg equilibrium;
    All these keywords.

    JEL classification:

    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • J51 - Labor and Demographic Economics - - Labor-Management Relations, Trade Unions, and Collective Bargaining - - - Trade Unions: Objectives, Structure, and Effects
    • J52 - Labor and Demographic Economics - - Labor-Management Relations, Trade Unions, and Collective Bargaining - - - Dispute Resolution: Strikes, Arbitration, and Mediation

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:121433. See general information about how to correct material in RePEc.

    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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.