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Sequential incompleteness and dynamic suboptimality in stochastic OLG economies with production

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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File URL: https://student-3k.tepper.cmu.edu/gsiadoc/WP/2012-E38.pdf
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Paper provided by Carnegie Mellon University, Tepper School of Business in its series GSIA Working Papers with number 2012-E38.

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Handle: RePEc:cmu:gsiawp:-1352095151
Contact details of provider: Postal: Tepper School of Business, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213-3890
Web page: http://www.tepper.cmu.edu/

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  1. Storesletten, Kjetil & Telmer, Chris & Yaron, Amir, 2001. "Asset Pricing with Idiosyncratic Risk and Overlapping Generations," CEPR Discussion Papers 3065, C.E.P.R. Discussion Papers.
  2. Conesa, Juan Carlos & Kitao, Sagiri & Krueger, Dirk, 2006. "Taxing Capital? Not a Bad Idea After All!," CEPR Discussion Papers 5929, C.E.P.R. Discussion Papers.
  3. 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.
  4. 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.
  5. Bloise, Gaetano & Calciano, Filippo L., 2007. "A Characterization of Inefficiency in Stochastic Overlapping Generations Economies," MPRA Paper 8780, University Library of Munich, Germany.
  6. Krueger, Dirk & Kübler, Felix, 2005. "Pareto Improving Social Security Reform when Financial Markets Are Incomplete," CEPR Discussion Papers 5039, C.E.P.R. Discussion Papers.
  7. 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.
  8. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. Spear, Stephen E., 1985. "Rational expectations in the overlapping generations model," Journal of Economic Theory, Elsevier, vol. 35(2), pages 251-275, August.
  14. 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.
  15. Alessandro Citanna & Paolo Siconolfi, 2010. "Recursive Equilibrium in Stochastic Overlapping-Generations Economies," Econometrica, Econometric Society, vol. 78(1), pages 309-347, 01.
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