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An Open-Economy Ramsey-Cass-Koopmans Model in Reduced Form

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  • Daniel Spiro

Abstract

What is a good reduced-form representation of Ramsey-Cass-Koopmans. (RCK) model? Solow’s model (despite non-optimizing agents) provides predictions largely consistent with a closed-economy RCK but fundamentally differs regarding open-economy income convergence. Where RCK predicts partial income and consumption convergence between open economies Solow predicts full convergence. This paper presents, by a small modification of the savings behavior in the Solow model, a framework that matches RCK’s properties in closed and open economies. The model, labeled rSolow, is analytically tractable, allowing closed-form solutions of all variables, thus makes several explicit and novel predictions. This includes how income and inequality depend on country size; that income growth will be a U-shaped function of initial income thus creating differentiated convergence; and that poor countries bene.t from higher saving but rich countries may not.

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  • Daniel Spiro, 2021. "An Open-Economy Ramsey-Cass-Koopmans Model in Reduced Form," CESifo Working Paper Series 9293, CESifo.
  • Handle: RePEc:ces:ceswps:_9293
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    More about this item

    Keywords

    convergence; Ramsey; Solow; inequality; growth;
    All these keywords.

    JEL classification:

    • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • F21 - International Economics - - International Factor Movements and International Business - - - International Investment; Long-Term Capital Movements
    • F43 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Economic Growth of Open Economies
    • O11 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Macroeconomic Analyses of Economic Development

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