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Stationary Markov equilibria for overlapping generations

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Felix Kubler ()
Herakles Polemarchakis ()

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Abstract

At a stationary Markov equilibrium of a Markovian economy of overlapping generations, prices at a date-event are determined by the realization of the shock, the distribution of wealth and, with production, the stock of capital. Stationary Markov equilibria may not exist; this is the case with intra-generational heterogeneity and multiple commodities or long life spans. Generalized Markov equilibria exist if prices are allowed to vary also with the realization of the shock, prices and the allocation of consumption and production at the predecessor date-event. (Stationary) Markov $ \epsilon $ -equilibria always exist; as $ \epsilon \rightarrow 0, $ allocations and prices converge to equilibrium prices and allocations that, however, need not be stationary. Copyright Springer-Verlag Berlin/Heidelberg 2004

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Article provided by Springer in its journal Economic Theory.

Volume (Year): 24 (2004)
Issue (Month): 3 (October)
Pages: 623-643
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Handle: RePEc:spr:joecth:v:24:y:2004:i:3:p:623-643

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Keywords: Stationary Markov equilibria; +$+\epsilon+$+-equilibria.> $ \epsilon $ -equilibria.;

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  1. Adrian Peralta-Alva & Manuel S. Santos, 2009. "Problems in the numerical simulation of models with heterogeneous agents and economic distortions," Working Papers 2009-036, Federal Reserve Bank of St. Louis. [Downloadable!]
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  2. K.Schmedders & F.Kubler, 2004. "Approximate Versus Exact Equilibria," Computing in Economics and Finance 2004 46, Society for Computational Economics. [Downloadable!]
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  3. Costas Xiouros, 2006. "Asset price volatilities and trading volumes in heterogeneous agent economies," Computing in Economics and Finance 2006 466, Society for Computational Economics. [Downloadable!]
  4. Sonia Giannatale, 2008. "Sunspot-like equilibria in an overlapping generations economy with strategic interactions," Economic Theory, Springer, vol. 35(1), pages 191-199, April. [Downloadable!] (restricted)
  5. Zhigang Feng & Jianjun Miao & Adrian Peralta-Alva & Manuel S. Santos, 2009. "Numerical simulation of nonoptimal dynamic equilibrium models," Working Papers 2009-018, Federal Reserve Bank of St. Louis. [Downloadable!]
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  6. Paul Gomme & Richard Rogerson & Peter Rupert & Randall Wright, 2004. "The business cycle and the life cycle," Working Paper 0404, Federal Reserve Bank of Cleveland. [Downloadable!]
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  7. Alessandro Citanna & Paolo Siconolfi, 2008. "On the nonexistence of recursive equilibrium in stochastic OLG economies," Economic Theory, Springer, vol. 37(3), pages 417-437, December. [Downloadable!] (restricted)
  8. Junjian Miao & Manuel Santos, 2005. "Numerical Solution of Dynamic Non-Optimal Economies," Boston University - Department of Economics - Working Papers Series WP2005-003, Boston University - Department of Economics. [Downloadable!]
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