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Approximate versus Exact Equilibria in Dynamic Economies


  • Felix Kubler
  • Karl Schmedders


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.

Suggested Citation

  • Felix Kubler & Karl Schmedders, 2005. "Approximate versus Exact Equilibria in Dynamic Economies," Econometrica, Econometric Society, vol. 73(4), pages 1205-1235, July.
  • Handle: RePEc:ecm:emetrp:v:73:y:2005:i:4:p:1205-1235

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    Cited by:

    1. P. Siconolfi & A. Citanna, 2007. "Recursive equilibrium in stochastic OLG economies," 2007 Meeting Papers 777, Society for Economic Dynamics.
    2. D'Agata, Antonio, 2011. "Existence of exact Walrasian equilibria in non convex economies," Economics Discussion Papers 2011-47, Kiel Institute for the World Economy (IfW).
    3. Henriksen, Espen & Spear, Stephen, 2012. "Endogenous market incompleteness without market frictions: Dynamic suboptimality of competitive equilibrium in multiperiod overlapping generations economies," Journal of Economic Theory, Elsevier, vol. 147(2), pages 426-449.
    4. Rodrigo Raad, 2016. "Recursive equilibrium with Price Perfect Foresight and a minimal state space," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(1), pages 1-54, January.
    5. Felix Kubler & Johannes Brumm, 2013. "Applying Negishi's method to stochastic models with overlapping generations," 2013 Meeting Papers 1352, Society for Economic Dynamics.
    6. repec:wly:emetrp:v:85:y:2017:i::p:991-1012 is not listed on IDEAS
    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 (IfW), vol. 6, pages 1-16.
    8. Yu, Changhua, 2015. "Evaluating international financial integration in a center-periphery economy," Journal of International Economics, Elsevier, vol. 95(1), pages 129-144.
    9. Raad, Rodrigo Jardim, 2013. "Approximate recursive equilibrium with minimal state space," FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) 737, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
    10. Dunbar, Geoffrey, 2013. "Returns-to-scale and the equity premium puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 37(9), pages 1736-1754.
    11. 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.
    12. Chakrabarti, Subir K., 2014. "On the robustness of the competitive equilibrium: Utility-improvements and equilibrium points," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 36-47.
    13. Kenneth L. Judd & Lilia Maliar & Serguei Maliar, 2014. "Lower Bounds on Approximation Errors: Testing the Hypothesis That a Numerical Solution Is Accurate?," BYU Macroeconomics and Computational Laboratory Working Paper Series 2014-06, Brigham Young University, Department of Economics, BYU Macroeconomics and Computational Laboratory.
    14. A. Jofré & R. T. Rockafellar & R. J-B. Wets, 2017. "General economic equilibrium with financial markets and retainability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 309-345, January.
    15. Alessandro Citanna & Paolo Siconolfi, 2008. "On the nonexistence of recursive equilibrium in stochastic OLG economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(3), pages 417-437, December.

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