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Comparative Statics and Local Indeterminacy in OLG Economies: An Application of the Multiplicative Ergodic Theorem

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Abstract

This study is an effort to give a simple measure of the local size of the equilibrium set of OLG economies in which there may be more than one good and more than one consumer per period, and in which the generations may differ across time.

Suggested Citation

  • John Geanakoplos & Donald J. Brown, 1985. "Comparative Statics and Local Indeterminacy in OLG Economies: An Application of the Multiplicative Ergodic Theorem," Cowles Foundation Discussion Papers 773, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:773
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d07/d0773.pdf
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    References listed on IDEAS

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    1. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-453, March.
    2. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    3. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
    4. Wilson, Charles A., 1981. "Equilibrium in dynamic models with an infinity of agents," Journal of Economic Theory, Elsevier, vol. 24(1), pages 95-111, February.
    5. Kehoe, Timothy J. & Levine, David K., 1984. "Intertemporal separability in overlapping-generations models," Journal of Economic Theory, Elsevier, vol. 34(2), pages 216-226, December.
    6. Geanakoplos, J. D. & Polemarchakis, H. M., 1984. "Intertemporally separable, overlapping-generations economies," Journal of Economic Theory, Elsevier, vol. 34(2), pages 207-215, December.
    7. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
    8. BEWLEY, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," LIDAM Reprints CORE 122, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Balasko, Yves & Cass, David & Shell, Karl, 1980. "Existence of competitive equilibrium in a general overlapping-generations model," Journal of Economic Theory, Elsevier, vol. 23(3), pages 307-322, December.
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    Cited by:

    1. J. D. Geanakoplos & H. M. Polemarchakis, 1986. "Walrasian Indeterminacy and Keynesian Macroeconomics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 755-779.
    2. John Geanakoplos, 2008. "Overlapping Generations Models of General Equilibrium," Cowles Foundation Discussion Papers 1663, Cowles Foundation for Research in Economics, Yale University.
    3. MERTENS, Jean-François & RUBINCHIK, Anna, 2006. "Intergenerational equity and the discount rate for cost-benefit analysis," LIDAM Discussion Papers CORE 2006091, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Gorokhovsky, Alexander & Rubinchik, Anna, 2022. "Necessary and sufficient conditions for determinacy of asymptotically stationary equilibria in OLG models," Journal of Economic Theory, Elsevier, vol. 204(C).
    5. Mertens, Jean-François & Rubinchik, Anna, 2012. "Intergenerational Equity And The Discount Rate For Policy Analysis," Macroeconomic Dynamics, Cambridge University Press, vol. 16(1), pages 61-93, February.
    6. Aoki, Takaaki, 2013. "Some Mathematical Properties of the Dynamically Inconsistent Bellman Equation: A Note on the Two-sided Altruism Dynamics," MPRA Paper 44994, University Library of Munich, Germany.
    7. S. Demichelis & H. Polemarchakis, 2007. "The determinacy of equilibrium in economies of overlapping generations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 461-475, September.
    8. Timothy J. Kehoe & David K. Levine & Paul Romer, 1989. "Steady States and Determinacy in Economies with Infinitely Lived Agents," Levine's Working Paper Archive 52, David K. Levine.

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