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Increasing Returns to Scale and Welfare: Ranking the Multiple Deterministic Equilibria

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Abstract

We consider a real business cycle model with a productive externality and an aggregate non- convex technology set µa la Benhabib and Farmer embodying capacity utilization, which exhibits indeterminacy of the steady state and multiplicity of deterministic equilibria under plausible values of the increasing returns to scale. The aim of the paper is to rank these different equilibria according to the initial value of consumption using both a linear-quadratic approximation, extensively explained by Benigno and Woodford [2006a, 2006b], and simulation methods. We study the implications of such a ranking in terms of smoothness of the welfare-maximizing trajectory and show that the welfare- maximizing consumption and labor paths are all the smoother since the level of increasing returns is low. At last, we show that this solution provides a good benchmark for judging the desirability of the stabilization policy proposed by Guo and Lansing [1997].

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  • Mauro Bambi & Aurélien Saïdi, 2008. "Increasing Returns to Scale and Welfare: Ranking the Multiple Deterministic Equilibria," CER-ETH Economics working paper series 08/99, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
  • Handle: RePEc:eth:wpswif:08-99
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    7. Guo, Jang-Ting & Lansing, Kevin J., 1998. "Indeterminacy and Stabilization Policy," Journal of Economic Theory, Elsevier, vol. 82(2), pages 481-490, October.
    8. Stephanie Schmitt-Grohe & Martin Uribe, 2002. "Solving Dynamic General Equilibrium Models Using a Second-Order Approximation to the Policy Function," NBER Technical Working Papers 0282, National Bureau of Economic Research, Inc.
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    More about this item

    Keywords

    Increasing returns; Local indeterminacy; Welfare analysis; Numerical Methods;

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • H61 - Public Economics - - National Budget, Deficit, and Debt - - - Budget; Budget Systems
    • O42 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Monetary Growth Models
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence

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