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Ponzi game in OLG model with endogenous growth and productive government spending

Author

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  • Philippe Darreau

    (LAPE - Laboratoire d'Analyse et de Prospective Economique - GIO - Gouvernance des Institutions et des Organisations - UNILIM - Université de Limoges)

  • François Pigalle

    (LAPE - Laboratoire d'Analyse et de Prospective Economique - GIO - Gouvernance des Institutions et des Organisations - UNILIM - Université de Limoges)

Abstract

Barro's model is an AK model, and there cannot be dynamic inefficiency since the social yield of the capital is higher than the growth rate. But it may be that the private yield and thus the interest rate are lower than the growth rate. One can thus have a Ponzi game and the government can allow a permanent roll-over of debt and cut taxes. However we show that in this model since the capital is under-accumulated, playing a Ponzi game produces a crowding-out of capital and reduces the growth rate and welfare. The practical message of this article is that even when the interest rate is lower than the growth rate, the public debt is not a Pareto improvement when it generates a crowding-out of capital and reduces endogenous growth.

Suggested Citation

  • Philippe Darreau & François Pigalle, 2011. "Ponzi game in OLG model with endogenous growth and productive government spending," Post-Print hal-00785437, HAL.
    • Handle: RePEc:hal:journl:hal-00785437
    Note: View the original document on HAL open archive server: https://unilim.hal.science/hal-00785437
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    References listed on IDEAS

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    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Ghosh, Sugata & Mourmouras, Iannis A., 2004. "Endogenous growth, welfare and budgetary regimes," Journal of Macroeconomics, Elsevier, vol. 26(4), pages 623-635, December.
    3. Alexandru Minea & Patrick Villieu, 2009. "Borrowing to Finance Public Investment? The ‘Golden Rule of Public Finance’ Reconsidered in an Endogenous Growth Setting," Fiscal Studies, John Wiley & Sons, vol. 30(1), pages 103-133, March.
    4. Barro, Robert J, 1990. "Government Spending in a Simple Model of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 103-126, October.
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