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Equilibrium dynamics under lump-sum taxation in an exchange economy with skewed endowments

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  • Puhakka, Mikko

Abstract

I explore the dynamics in overlapping generations models with pure exchange and lump-sum taxes, when the second period after tax endowment is negative, and contrast the characteristics of equilibria to those of models with positive after tax endowments. In particular, if the intertemporal elasticity of substitution is less than unity, there can be only a two cycle or stable (ie indeterminate) equilibria for certain parameter values.With this value for that elasticity chaos and a cycle of any order can occur in a model with regular endowments.In a sense the lump-sum taxation in this model operates as a stabilizing device.The precise stability condition holds with a small discount factor and in economies with relatively high taxes in the first period.If the intertemporal elasticity of substitution is greater than unity, the steady state equilibria are unstable, and thus determinate, as is the case with the regular model.

Suggested Citation

  • Puhakka, Mikko, 2004. "Equilibrium dynamics under lump-sum taxation in an exchange economy with skewed endowments," Bank of Finland Research Discussion Papers 29/2004, Bank of Finland.
    • Handle: RePEc:zbw:bofrdp:rdp2004_029
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    References listed on IDEAS

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    1. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    2. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    3. Balasko, Yves & Shell, Karl, 1981. "The overlapping-generations model. III. The case of log-linear utility functions," Journal of Economic Theory, Elsevier, vol. 24(1), pages 143-152, February.
    4. Joydeep Bhattacharya & Joseph H. Haslag, 2001. "On the Use of the Inflation Tax When Nondistortionary Taxes Are Available," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(4), pages 823-841, October.
    5. Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 725-737.
    6. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151.
    7. repec:zbw:bofrdp:2004_002 is not listed on IDEAS
    8. Cass, David & Okuno, Masahiro & Zilcha, Itzhak, 1979. "The role of money in supporting the pareto optimality of competitive equilibrium in consumption-loan type models," Journal of Economic Theory, Elsevier, vol. 20(1), pages 41-80, February.
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    More about this item

    Keywords

    overlapping generations economy; saving; cycles; lump-sum taxation;
    All these keywords.

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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