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Sequential incompleteness and dynamic suboptimality in stochastic OLG economies with production

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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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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

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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. Spear, Stephen E., 1985. "Rational expectations in the overlapping generations model," Journal of Economic Theory, Elsevier, vol. 35(2), pages 251-275, August.
  2. 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.
  3. Conesa, Juan Carlos & Kitao, Sagiri & Krueger, Dirk, 2006. "Taxing capital? Not a bad idea after all!," CFS Working Paper Series 2006/21, Center for Financial Studies (CFS).
  4. 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.
  5. 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.
  6. 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.
  7. John Geanakoplos & Michael Magill & Martine Quinzii, 2002. "Demography and the Long-run Predictability of the Stock Market," Cowles Foundation Discussion Papers 1380, Cowles Foundation for Research in Economics, Yale University.
  8. 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.
  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. Krueger, Dirk & Kubler, Felix, 2005. "Pareto improving social security reform when financial markets are incomplete!?," CFS Working Paper Series 2005/12, Center for Financial Studies (CFS).
  11. Alessandro Citanna & Paolo Siconolfi, 2010. "Recursive Equilibrium in Stochastic Overlapping-Generations Economies," Econometrica, Econometric Society, vol. 78(1), pages 309-347, 01.
  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. 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. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
  15. 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.
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