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Sequential incompleteness and dynamic suboptimality in stochastic OLG economies with production

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Abstract

We study a stochastic overlapping generations model with production and three- period-lived agents. Agents trade bonds and risky capital. Unlike the two-period model, we show that a stationary equilibrium in which prices and allocations depend solely on the aggregate capital stock and the current shock does not exist. Hence, the recursive equilibrium becomes the relevant equilibrium concept. For the recursive formulation of the model, markets are sequentially incomplete and we show that there is room for Pareto improvements in terms of intergenerational risk sharing. Finally, we examine whether the introduction of capital income taxation improves the allocation of risk.

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  • Fabrizio Orrego & Stephen Spear, "undated". "Sequential incompleteness and dynamic suboptimality in stochastic OLG economies with production," GSIA Working Papers 2012-E38, Carnegie Mellon University, Tepper School of Business.
  • Handle: RePEc:cmu:gsiawp:-1352095151
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    1. Kjetil Storesletten & Chris Telmer & Amir Yaron, 2007. "Asset Pricing with Idiosyncratic Risk and Overlapping Generations," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(4), pages 519-548, October.
    2. Kehoe, Timothy J. & Levine, David K., 1990. "The economics of indeterminacy in overlapping generations models," Journal of Public Economics, Elsevier, vol. 42(2), pages 219-243, July.
    3. Bloise, Gaetano & Calciano, Filippo L., 2008. "A characterization of inefficiency in stochastic overlapping generations economies," Journal of Economic Theory, Elsevier, vol. 143(1), pages 442-468, November.
    4. Juan Carlos Conesa & Sagiri Kitao & Dirk Krueger, 2009. "Taxing Capital? Not a Bad Idea after All!," American Economic Review, American Economic Association, vol. 99(1), pages 25-48, March.
    5. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    6. Author-Name: John Geanakoplos & Michael Magill & Martine Quinzii, 2004. "Demography and the Long-Run Predictability of the Stock Market," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 35(1), pages 241-326.
    7. Dirk Krueger & Felix Kubler, 2006. "Pareto-Improving Social Security Reform when Financial Markets are Incomplete!?," American Economic Review, American Economic Association, vol. 96(3), pages 737-755, June.
    8. Rao Aiyagari, S. & Peled, Dan, 1991. "Dominant root characterization of Pareto optimality and the existence of optimal equilibria in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 54(1), pages 69-83, June.
    9. Krueger, Dirk & Kubler, Felix, 2004. "Computing equilibrium in OLG models with stochastic production," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1411-1436, April.
    10. Spear, Stephen E., 1985. "Rational expectations in the overlapping generations model," Journal of Economic Theory, Elsevier, vol. 35(2), pages 251-275, August.
    11. Alessandro Citanna & Paolo Siconolfi, 2010. "Recursive Equilibrium in Stochastic Overlapping-Generations Economies," Econometrica, Econometric Society, vol. 78(1), pages 309-347, January.
    12. Dirk Krueger & Felix Kubler, 2002. "Intergenerational Risk-Sharing via Social Security when Financial Markets Are Incomplete," American Economic Review, American Economic Association, vol. 92(2), pages 407-410, May.
    13. Citanna, Alessandro & Siconolfi, Paolo, 2007. "Short-memory equilibrium in stochastic overlapping generations economies," Journal of Economic Theory, Elsevier, vol. 134(1), pages 448-469, May.
    14. Spear, Stephen E. & Srivastava, Sanjay, 1986. "Markov rational expectations equilibria in an overlapping generations model," Journal of Economic Theory, Elsevier, vol. 38(1), pages 35-62, February.
    15. Spear, Stephen E., 1988. "Existence and local uniqueness of functional rational expectations equilibria in dynamic economic models," Journal of Economic Theory, Elsevier, vol. 44(1), pages 124-155, February.
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