IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/95978.html
   My bibliography  Save this paper

The dynamics of working hours and wages under implicit contracts

Author

Listed:
  • Guerrazzi, Marco
  • Giribone, Pier Giuseppe

Abstract

In this paper, we explore the out-of-equilibrium dynamics of working hours and wages in a model economy where workers and firms have agreed upon an implicit contract that smooths long-run consumption. Specifically, we analyse a deterministic and a stochastic framework in which a firm inter-temporally sets its level of labour utilization by considering that workers' earnings tend to adjust in the direction of a fixed level that seeks to stabilize their consumption. Without any uncertainty in labour effectiveness, this theoretical setting may have one, two or no stationary solution. The dynamics of the deterministic economy, however, can be assessed only in the two-solution case and it reveals that wages move counter-cyclically towards the allocation preferred by the firm. Adding uncertainty in labour effectiveness does not overturn the counter-cyclical pattern of wages but is helpful in explaining the wage stickiness observed at the macro level.

Suggested Citation

  • Guerrazzi, Marco & Giribone, Pier Giuseppe, 2019. "The dynamics of working hours and wages under implicit contracts," MPRA Paper 95978, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:95978
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/95978/1/MPRA_paper_95978.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Abowd, John M & Card, David, 1987. "Intertemporal Labor Supply and Long-term Employment Contracts," American Economic Review, American Economic Association, vol. 77(1), pages 50-68, March.
    2. Morten O. Ravn & Saverio Simonelli, 2007. "Labor Market Dynamics and the Business Cycle: Structural Evidence for the United States," Scandinavian Journal of Economics, Wiley Blackwell, vol. 109(4), pages 743-777, December.
    3. Bellou, Andriana & Kaymak, Barış, 2012. "Wages, implicit contracts, and the business cycle: Evidence from a European panel," Labour Economics, Elsevier, vol. 19(6), pages 898-907.
    4. Marco Guerrazzi & Pier Giuseppe Giribone, 2021. "Dynamic wage bargaining and labour market fluctuations: the role of productivity shocks," SN Business & Economics, Springer, vol. 1(8), pages 1-20, August.
    5. Christopher A. Pissarides, 2002. "Consumption and Savings with Unemployment Risk: Implications for Optimal Employment Contracts," CEP Discussion Papers dp0542, Centre for Economic Performance, LSE.
    6. Nils Gottfries & Tomas Sjostrom, 2000. "Insider Bargaining Power, Starting Wages and Involuntary Unemployment," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(4), pages 669-688, December.
    7. George Baker & Robert Gibbons & Kevin J. Murphy, 1997. "Implicit Contracts and the Theory of the Firm," NBER Working Papers 6177, National Bureau of Economic Research, Inc.
    8. John C. Ham & Kevin T. Reilly, 2013. "Implicit Contracts, Life Cycle Labor Supply, And Intertemporal Substitution," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54, pages 1133-1158, November.
    9. Fernando Alvarez & Robert Shimer, 2011. "Search and Rest Unemployment," Econometrica, Econometric Society, vol. 79(1), pages 75-122, January.
    10. Claudio Michelacci & Vincenzo Quadrini, 2009. "Financial Markets and Wages," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(2), pages 795-827.
    11. Jonathan Thomas & Tim Worrall, 1988. "Self-Enforcing Wage Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(4), pages 541-554.
    12. Beaudry, Paul & Pages, Carmen, 2001. "The cost of business cycles and the stabilization value of unemployment insurance," European Economic Review, Elsevier, vol. 45(8), pages 1545-1572, August.
    13. Marco Guerrazzi, 2007. "Wage Bargaining in an Optimal Control Framework: A Dynamic Version of the Right-to-Manage Model," Open Discussion Papers in Economics 61, The Open University, Faculty of Social Sciences, Department of Economics.
    14. Marco Guerrazzi, 2020. "Wage and employment determination in a dynamic insider–outsider model," Evolutionary and Institutional Economics Review, Springer, vol. 17(1), pages 1-23, January.
    15. Robert E. Hall, 1980. "Employment Fluctuations and Wage Rigidity," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 11(1, Tenth ), pages 91-142.
    16. Daniel A. Ackerberg & Kevin Caves & Garth Frazer, 2015. "Identification Properties of Recent Production Function Estimators," Econometrica, Econometric Society, vol. 83, pages 2411-2451, November.
    17. Pearce, David G. & Stacchetti, Ennio, 1998. "The Interaction of Implicit and Explicit Contracts in Repeated Agency," Games and Economic Behavior, Elsevier, vol. 23(1), pages 75-96, April.
    18. Jacek B. Krawczyk & Alistair Windsor, 1997. "An Approximated Solution to Continuous-Time Stochastic Optimal Control Problems Through Markov Decision Chains," Computational Economics 9710001, University Library of Munich, Germany.
    19. Sargent, Thomas J, 1978. "Estimation of Dynamic Labor Demand Schedules under Rational Expectations," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 1009-1044, December.
    20. Paul Beaudry & John DiNardo, 1995. "Is the Behavior of Hours Worked Consistent with Implicit Contract Theory?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(3), pages 743-768.
    21. Clive Bull, 1987. "The Existence of Self-Enforcing Implicit Contracts," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(1), pages 147-159.
    22. Shavell, Steven, 1976. "Sharing Risks of Deferred Payment," Journal of Political Economy, University of Chicago Press, vol. 84(1), pages 161-168, February.
    23. Azariadis, Costas, 1975. "Implicit Contracts and Underemployment Equilibria," Journal of Political Economy, University of Chicago Press, vol. 83(6), pages 1183-1202, December.
    24. Oleg Itskhoki & Benjamin Moll, 2019. "Optimal Development Policies With Financial Frictions," Econometrica, Econometric Society, vol. 87(1), pages 139-173, January.
    25. Gary S. Becker, 1962. "Investment in Human Capital: A Theoretical Analysis," NBER Chapters, in: Investment in Human Beings, pages 9-49, National Bureau of Economic Research, Inc.
    26. Diamond, Peter A, 1982. "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 881-894, October.
    27. Robinson, James A, 1999. "Dynamic Contractual Enforcement: A Model of Strikes," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 209-229, February.
    28. Robert Shimer, 2005. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies," American Economic Review, American Economic Association, vol. 95(1), pages 25-49, March.
    29. John Haltiwanger, 1985. "Inventories, Multiperiod Implicit Contracts, and the Dynamic Behavior if the Firm Under Uncertainty," UCLA Economics Working Papers 374, UCLA Department of Economics.
    30. Barro, Robert J., 1977. "Long-term contracting, sticky prices, and monetary policy," Journal of Monetary Economics, Elsevier, vol. 3(3), pages 305-316, July.
    31. Charles A. Fleischman, 1999. "The causes of business cycles and the cyclicality of real wages," Finance and Economics Discussion Series 1999-53, Board of Governors of the Federal Reserve System (U.S.).
    32. Bruno Chiarini, 1998. "Cyclicality of real wages and adjustment costs," Applied Economics, Taylor & Francis Journals, vol. 30(9), pages 1239-1250.
    33. Marco Guerrazzi, 2021. "Wage bargaining as an optimal control problem: a dynamic version of the efficient bargaining model," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(1), pages 359-374, June.
    34. Yicheng Wang, 2015. "Can Wage Dynamics in Long-term Employment Relationships Help Mitigate Financial Shocks?," 2015 Meeting Papers 1189, Society for Economic Dynamics.
    35. Gordon, Donald F, 1974. "A Neo-Classical Theory of Keynesian Unemployment," Economic Inquiry, Western Economic Association International, vol. 12(4), pages 431-459, December.
    36. Milton Harris & Bengt Holmstrom, 1982. "A Theory of Wage Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(3), pages 315-333.
    37. Basu, S. & House, C.L., 2016. "Allocative and Remitted Wages," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 297-354, Elsevier.
    38. Stephen E. Spear & Sanjay Srivastava, 1987. "On Repeated Moral Hazard with Discounting," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(4), pages 599-617.
    39. John Geanakoplos & Takatoshi Ito, 1982. "On Implicit Contracts and Involuntary Unemployment," Cowles Foundation Discussion Papers 640, Cowles Foundation for Research in Economics, Yale University.
    40. Sumner, Scott & Silver, Stephen, 1989. "Real Wages, Employment, and the Phillips Curve," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 706-720, June.
    41. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, December.
    42. Christian Calmès, 2007. "Self-Enforcing Labour Contracts and Macroeconomic Dynamics," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 13(2), pages 200-213, May.
    43. Martin Neil Baily, 1974. "Wages and Employment under Uncertain Demand," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(1), pages 37-50.
    44. Bull, Clive, 1983. "Implicit Contracts in the Absence of Enforcement and Risk Aversion," American Economic Review, American Economic Association, vol. 73(4), pages 658-671, September.
    45. Gürtler, Oliver, 2006. "Implicit Contracts: Two Different Approaches," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 110, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    46. John C. Ham & Kevin T. Reilly, 2013. "Implicit Contracts, Life Cycle Labor Supply, And Intertemporal Substitution," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(4), pages 1133-1158, November.
    47. Susanto Basu & Christopher L. House, 2016. "Allocative and Remitted Wages: New Facts and Challenges for Keynesian Models," NBER Working Papers 22279, National Bureau of Economic Research, Inc.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Marco Guerrazzi & Pier Giuseppe Giribone, 2021. "Dynamic wage bargaining and labour market fluctuations: the role of productivity shocks," SN Business & Economics, Springer, vol. 1(8), pages 1-20, August.

    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. Yicheng Wang, 2015. "Can Wage Dynamics in Long-term Employment Relationships Help Mitigate Financial Shocks?," 2015 Meeting Papers 1189, Society for Economic Dynamics.
    2. Christian Calmès, 2003. "Poignée de main invisible et persistance des cycles économiques : une revue de la littérature," Staff Working Papers 03-40, Bank of Canada.
    3. repec:eee:labchp:v:3:y:1999:i:pb:p:2291-2372 is not listed on IDEAS
    4. Calmès, Christian, 2003. "La poignée de main invisible et la persistance des cycles d’affaires : un survol," L'Actualité Economique, Société Canadienne de Science Economique, vol. 79(4), pages 563-581, Décembre.
    5. Christian Calmès & Raymond Théoret, 2009. "The Non-Convexity Issues in a Limited-Commitment Economy," RePAd Working Paper Series UQO-DSA-wp012009, Département des sciences administratives, UQO.
    6. Jonathan P. Thomas & Tim Worrall, 2007. "Limited Commitment Models Of The Labour Market," Scottish Journal of Political Economy, Scottish Economic Society, vol. 54(5), pages 750-773, November.
    7. Bellou, Andriana & Kaymak, Barış, 2012. "Wages, implicit contracts, and the business cycle: Evidence from a European panel," Labour Economics, Elsevier, vol. 19(6), pages 898-907.
    8. Basu, S. & House, C.L., 2016. "Allocative and Remitted Wages," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 297-354, Elsevier.
    9. Guerrazzi, Marco & Meccheri, Nicola, 2012. "From wage rigidity to labour market institution rigidity: A turning-point in explaining unemployment?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 41(2), pages 189-197.
    10. Rogerson, Richard & Shimer, Robert, 2011. "Search in Macroeconomic Models of the Labor Market," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 7, pages Pages: 61, Elsevier.
    11. André Zylberberg, 1994. "Effort et contrats : quelques enseignements concernant le marché du travail," Économie et Prévision, Programme National Persée, vol. 113(2), pages 1-20.
    12. Lagakos, David & Ordoñez, Guillermo L., 2011. "Which workers get insurance within the firm?," Journal of Monetary Economics, Elsevier, vol. 58(6), pages 632-645.
    13. repec:eee:labchp:v:2:y:1986:i:c:p:789-848 is not listed on IDEAS
    14. Martins, Pedro S. & Solon, Gary & Thomas, Jonathan P., 2010. "Measuring What Employers Really Do about Entry Wages over the Business Cycle," IZA Discussion Papers 4757, Institute of Labor Economics (IZA).
    15. Marco Guerrazzi & Pier Giuseppe Giribone, 2021. "Dynamic wage bargaining and labour market fluctuations: the role of productivity shocks," SN Business & Economics, Springer, vol. 1(8), pages 1-20, August.
    16. repec:eee:labchp:v:2:y:1986:i:c:p:1001-1035 is not listed on IDEAS
    17. Borys Grochulski & Yuzhe Zhang, 2017. "Market‐Based Incentives," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(2), pages 331-382, May.
    18. John C. Ham & Kevin T. Reilly, 2002. "Testing Intertemporal Substitution, Implicit Contracts, and Hours Restriction Models of the Labor Market Using Micro Data," American Economic Review, American Economic Association, vol. 92(4), pages 905-927, September.
    19. Ran Gu, 2023. "Human Capital and the Business Cycle Effects on the Postgraduate Wage Premium," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 48, pages 345-376, April.
    20. Miguel Portela & Ana Rute Cardoso, 2005. "The provision of wage insurance by the firm: evidence from a longitudinal matched employer-employee dataset," NIPE Working Papers 17/2005, NIPE - Universidade do Minho.
    21. Balke, Neele & Lamadon, Thibaut, 2021. "Productivity shocks, long-term contracts and earnings dynamics," Working Paper Series 2021:19, IFAU - Institute for Evaluation of Labour Market and Education Policy.
    22. Jonathon Hazell & Bledi Taska, 2020. "Downward Rigidity in the Wage for New Hires," Discussion Papers 2028, Centre for Macroeconomics (CFM).
    23. Carstensen, Vivian, 1999. "Beschäftigungssicherung durch Arbeitszeitflexibilisierung," Hannover Economic Papers (HEP) dp-228, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.

    More about this item

    Keywords

    Implicit contract theory; Consumption smoothing; Out-of-equilibrium dynamics; Optimal Control;
    All these keywords.

    JEL classification:

    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts

    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:95978. 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.