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Non-parametric counterfactual analysis in dynamic general equilibrium

  • Felix Kubler

    ()

  • Karl Schmedders

    ()

In this paper we examine non-parametric restrictions on counterfactual analysis in a dynamic stochastic general equilibrium model. Under the assumption of time-separable expected utility and complete markets all equilibria in this model are stationary. The Arrow-Debreu prices uniquely reveal the probabilities and discount factor. The equilibrium correspondence, de¯ned as the map from endowments to stationary (probability-free) state prices, is identical to the equilibrium correspondence in a standard Arrow-Debreu exchange economy with additively separable utility. We examine possible restriction on this correspondence and give necessary as well as sufficient conditions on profiles of individual endowments that ensure that associated equilibrium prices cannot be arbitrary. Although restrictions on possible price changes often exist, we show that results from a representative-agent economy usually do not carry over to a setting with heterogeneous agents.

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File URL: http://hdl.handle.net/10.1007/s00199-009-0475-8
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Article provided by Springer in its journal Economic Theory.

Volume (Year): 45 (2010)
Issue (Month): 1 (October)
Pages: 181-200

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Handle: RePEc:spr:joecth:v:45:y:2010:i:1:p:181-200
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  1. Felix Kubler & Karl Schmedders, 2010. "Non-parametric counterfactual analysis in dynamic general equilibrium," Economic Theory, Springer, vol. 45(1), pages 181-200, October.
  2. Felix Kubler & Karl Schmedders, 2003. "Generic inefficiency of equilibria in the general equilibrium model with incomplete asset markets and infinite time," Economic Theory, Springer, vol. 22(1), pages 1-15, 08.
  3. Danthine, Jean-Pierre & Donaldson, John B & Giannikos, Chrisos & Guirguis, Hany, 2003. "On the Consequences of State Dependent Preferences for the Pricing of Financial Assets," CEPR Discussion Papers 3697, C.E.P.R. Discussion Papers.
  4. Dumas, Bernard & Uppal, Raman & Wang, Tan, 2000. "Efficient Intertemporal Allocations with Recursive Utility," Journal of Economic Theory, Elsevier, vol. 93(2), pages 240-259, August.
  5. Yves Balasko & Mich Tvede, 2009. "The Geometry of Finite Equilibrium Datasets," Discussion Papers 09-07, University of Copenhagen. Department of Economics.
  6. Angelo Melino & Alan X. Yang, 2003. "State Dependent Preferences Can Explain the Equity Premium Puzzle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 806-830, October.
  7. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
  8. Hara, Chiaki & Huang, James & Kuzmics, Christoph, 2007. "Representative consumer's risk aversion and efficient risk-sharing rules," Journal of Economic Theory, Elsevier, vol. 137(1), pages 652-672, November.
  9. Mas-Colell, Andreu, 1977. "On the equilibrium price set of an exchange economy," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 117-126, August.
  10. Yves Balasko & Mich Tvede, 2010. "Individual preference rankings compatible with prices, income distributions and total resources," Economic Theory, Springer, vol. 45(3), pages 497-513, December.
  11. Donald J. Brown & Rosa L. Matzkin, 1995. "Testable Restrictions on the Equilibrium Manifold," Cowles Foundation Discussion Papers 1109, Cowles Foundation for Research in Economics, Yale University.
  12. Yves Balasko & Mich Tvede, . "Equilibrium Data Sets and Compatible Utility Rankings," Discussion Papers 05-23, University of Copenhagen. Department of Economics, revised Nov 2005.
  13. Constantinides, George M, 1982. "Intertemporal Asset Pricing with Heterogeneous Consumers and without Demand Aggregation," The Journal of Business, University of Chicago Press, vol. 55(2), pages 253-67, April.
  14. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  15. Kubler, Felix, 2003. "Observable restrictions of general equilibrium models with financial markets," Journal of Economic Theory, Elsevier, vol. 110(1), pages 137-153, May.
  16. Varian, Hal R, 1983. "Non-Parametric Tests of Consumer Behaviour," Review of Economic Studies, Wiley Blackwell, vol. 50(1), pages 99-110, January.
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