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Approximate versus Exact Equilibria in Dynamic Economies

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  • Felix Kubler
  • Karl Schmedders

Abstract

This paper develops theoretical foundations for an error analysis of approximate equilibria in dynamic stochastic general equilibrium models with heterogeneous agents and incomplete financial markets. While there are several algorithms that compute prices and allocations for which agents' first-order conditions are approximately satisfied ("approximate equilibria"), there are few results on how to interpret the errors in these candidate solutions and how to relate the computed allocations and prices to exact equilibrium allocations and prices. We give a simple example to illustrate that approximate equilibria might be very far from exact equilibria. We then interpret approximate equilibria as equilibria for close-by economies; that is, for economies with close-by individual endowments and preferences. Copyright The Econometric Society 2005.

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Bibliographic Info

Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 73 (2005)
Issue (Month): 4 (07)
Pages: 1205-1235

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Handle: RePEc:ecm:emetrp:v:73:y:2005:i:4:p:1205-1235

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Cited by:
  1. Espen Henriksen & Stephen Spear, . "Endogenous Market Incompleteness Without Market Frictions: Dynamic Suboptimality of Competitive Equilibrium in Multiperiod Overlapping Generations Economies," GSIA Working Papers 2005-E37, Carnegie Mellon University, Tepper School of Business.
  2. Jonen, Benjamin & Scheuring, Simon, 2014. "Time-varying international diversification and the forward premium," Journal of International Money and Finance, Elsevier, vol. 40(C), pages 128-148.
  3. Felix Kubler & Johannes Brumm, 2013. "Applying Negishi's method to stochastic models with overlapping generations," 2013 Meeting Papers 1352, Society for Economic Dynamics.
  4. D'Agata, Antonio, 2011. "Existence of exact Walrasian equilibria in non convex economies," Economics Discussion Papers 2011-47, Kiel Institute for the World Economy.
  5. P. Siconolfi & A. Citanna, 2007. "Recursive equilibrium in stochastic OLG economies," 2007 Meeting Papers 777, Society for Economic Dynamics.
  6. 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.
  7. D'Agata, Antonio, 2012. "Existence of an exact Walrasian equilibrium in nonconvex economies," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy, vol. 6(12), pages 1-16.
  8. Raad, Rodrigo Jardim, 2013. "Approximate Recursive Equilibrium with Minimal State Space," Economics Working Papers (Ensaios Economicos da EPGE) 737, FGV/EPGE Escola Brasileira de Economia e Finan├žas, Getulio Vargas Foundation (Brazil).
  9. Dunbar, Geoffrey, 2013. "Returns-to-scale and the equity premium puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 37(9), pages 1736-1754.

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