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On the Stochastic Macro-equilibrium and a Microfoundation for the Production Function

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  • HIRAGUCHI Ryoji

Abstract

We provide a microfoundation for the production function by using the concept of stochastic macro-equilibrium in Yoshikawa ("Stochastic Macro-equilibrium and Microfoundations for Keynesian Economics," RIETI Discussion Paper, 2013). We consider an economy with multiple firms, with each firm possessing Leontief technology. We assume that the allocation of labor is determined by entropy maximization. We show that for selected productivity distribution, aggregate production is described by the popular Cobb-Douglas type.

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  • HIRAGUCHI Ryoji, 2015. "On the Stochastic Macro-equilibrium and a Microfoundation for the Production Function," Discussion papers 15040, Research Institute of Economy, Trade and Industry (RIETI).
    • Handle: RePEc:eti:dpaper:15040
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    References listed on IDEAS

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    1. Petrosky-Nadeau, Nicolas, 2013. "TFP during a credit crunch," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1150-1178.
    2. Judd, Kenneth L, 1987. "The Welfare Cost of Factor Taxation in a Perfect-Foresight Model," Journal of Political Economy, University of Chicago Press, vol. 95(4), pages 675-709, August.
    3. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
    4. Arnaud Dupuy, 2012. "A Microfoundation for Production Functions: Assignment of Heterogeneous Workers to Heterogeneous Jobs," Economica, London School of Economics and Political Science, vol. 79(315), pages 534-556, July.
    5. H. S. Houthakker, 1955. "The Pareto Distribution and the Cobb-Douglas Production Function in Activity Analysis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(1), pages 27-31.
    6. Judd, Kenneth L., 1985. "Redistributive taxation in a simple perfect foresight model," Journal of Public Economics, Elsevier, vol. 28(1), pages 59-83, October.
    7. Charles I. Jones, 2015. "Pareto and Piketty: The Macroeconomics of Top Income and Wealth Inequality," Journal of Economic Perspectives, American Economic Association, vol. 29(1), pages 29-46, Winter.
    8. Growiec, Jakub, 2013. "A microfoundation for normalized CES production functions with factor-augmenting technical change," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2336-2350.
    9. Dockner, Engelbert J. & Nishimura, Kazuo, 2005. "Capital accumulation games with a non-concave production function," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 408-420, August.
    10. Jesus Felipe & Franklin M. Fisher, 2003. "Aggregation in Production Functions: What Applied Economists should Know," Metroeconomica, Wiley Blackwell, vol. 54(2‐3), pages 208-262, May.
    11. Marco, Alan C., 2007. "The dynamics of patent citations," Economics Letters, Elsevier, vol. 94(2), pages 290-296, February.
    12. Olivier de La Grandville & Rainer Klump, 2000. "Economic Growth and the Elasticity of Substitution: Two Theorems and Some Suggestions," American Economic Review, American Economic Association, vol. 90(1), pages 282-291, March.
    13. Charles I. Jones, 2005. "The Shape of Production Functions and the Direction of Technical Change," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 517-549.
    14. Rainer Klump & Peter McAdam & Alpo Willman, 2012. "The Normalized Ces Production Function: Theory And Empirics," Journal of Economic Surveys, Wiley Blackwell, vol. 26(5), pages 769-799, December.
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