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Growth with many agents and wages paid ex ante

Author

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  • Borissov, Kirill
  • Dubey, Ram Sewak
Abstract
In this paper, we consider a one-sector model of economic growth with several infinitely-lived heterogeneous agents, who are endowed with diverse discount factors as well as preferences over consumption. In line with the classical Ramsey model, agents are not allowed to borrow against future income. Unlike the traditional assumption of ex post wage payment, wages are paid ex ante in our model. We first explain the difference between the assumptions of wages being paid ex ante and wages being paid ex post in the framework of a simple illustrative two-class model. Our main result shows that in contrast to the many-agent Ramsey model with ex post wage payment, the capital stock sequence converges to the steady state stock irrespective of production technology employed by the firms. Further, all impatient agents own zero capital stock, whereas the most patient agent owns the entire capital stock from some time onward. Thus, we have shown that a slight modification in the timing of wage payment in growth models can lead to significant changes in the stability properties of equilibrium dynamics.

Suggested Citation

  • Borissov, Kirill & Dubey, Ram Sewak, 2020. "Growth with many agents and wages paid ex ante," Economic Modelling, Elsevier, vol. 89(C), pages 101-107.
    • Handle: RePEc:eee:ecmode:v:89:y:2020:i:c:p:101-107
    DOI: 10.1016/j.econmod.2019.10.007
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    References listed on IDEAS

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    More about this item

    Keywords

    Convergence; Economic growth; Ex ante wage; Heterogeneous agent; Stability; Turnpike property.;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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