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Dynamic Games and Growth Cycles in Unionised Economies

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  • Enrico Marchetti

Abstract

In this paper we integrate the dynamic models formulated by the microeconomic theory of trade unions and the differential games approach. We demonstrate that the results of the dynamic monopoly union model, elaborated by Kidd and Oswald (1987) and Jones and McKenna (1994), can be obtained as solutions of a Stackelberg differential game between firms and unions under particular assumptions on union’s membership dynamic. We also develop a Nash differential game whose solutions imply a cycle in wage share of product and employment rate which resembles Goodwin’s (1967) cyclical growth path. This result is obtained by use of the Hopf theorem on local bifurcations, under particular hypotheses on the membership dynamics.

Suggested Citation

  • Enrico Marchetti, 1999. "Dynamic Games and Growth Cycles in Unionised Economies," Working Papers in Public Economics 32, University of Rome La Sapienza, Department of Economics and Law.
    • Handle: RePEc:sap:wpaper:wp32
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    References listed on IDEAS

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    6. Jones, Stephen R G & McKenna, C J, 1994. "A Dynamic Model of Union Membership and Employment," Economica, London School of Economics and Political Science, vol. 61(242), pages 179-189, May.
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    More about this item

    Keywords

    Trade unions; nonlinear dynamics; differential games; cyclical growth.;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • J51 - Labor and Demographic Economics - - Labor-Management Relations, Trade Unions, and Collective Bargaining - - - Trade Unions: Objectives, Structure, and Effects

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