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Computing Equilibria in Finance Economies with Incomplete Markets and Transaction Costs

  • P. Jean-Jacques Herings
  • Karl Schmedders

Transaction costs on financial markets may have important consequences for volumes of trade, asset pricing, and welfare. This paper introduces an algorithm for the computation of equilibria in the general equilibrium model with incomplete asset markets and transaction costs. We show that economies with transaction costs can be analyzed with differentiable homotopy techniques and thus in the same framework as frictionless economies despite the existence of non-differentiabilities of agents’ asset demand functions and the existence of locally non-unique equilibria. We introduce an equilibrium selection concept into the computation of economic equilibria that picks out a specific equilibrium in the presence of a continuum of equilibria. Copyright Springer-Verlag Berlin/Heidelberg 2006

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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1318.

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Date of creation: Jun 2001
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Handle: RePEc:nwu:cmsems:1318
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  1. Demarzo, Peter M. & Eaves, B. Curtis, 1996. "Computing equilibria of GEI by relocalization on a Grassmann manifold," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 479-497.
  2. Schmedders, Karl, 1998. "Computing equilibria in the general equilibrium model with incomplete asset markets," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1375-1401, August.
  3. repec:cup:cbooks:9780521265140 is not listed on IDEAS
  4. Heaton, John & Lucas, Deborah J, 1996. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 443-87, June.
  5. Herings, P.J.J., 1994. "A globally and universally stable price adjustment process," Discussion Paper 1994-52, Tilburg University, Center for Economic Research.
  6. Laitenberger, Marta, 1996. "Existence of financial market equilibria with transaction costs," Ricerche Economiche, Elsevier, vol. 50(1), pages 69-77, March.
  7. Constantinides, George M, 1986. "Capital Market Equilibrium with Transaction Costs," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 842-62, August.
  8. Pradeep Dubey & John Geanakoplos & Martin Shubik, 1988. "Default and Efficiency in a General Equilibrium Model with Incomplete Markets," Cowles Foundation Discussion Papers 879R, Cowles Foundation for Research in Economics, Yale University, revised Feb 1989.
  9. S Rao Aiyagari & Mark Gertler, 1997. "Asset Returns with transaction costs and uninsured individual risk," Levine's Working Paper Archive 648, David K. Levine.
  10. Geanakoplos, John, 1990. "An introduction to general equilibrium with incomplete asset markets," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 1-38.
  11. Hens,Thorsten, 1991. "Structure of general equilibrium models with incomplete markets and a single consumption good," Discussion Paper Serie A 353, University of Bonn, Germany.
  12. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-92, May.
  13. Herings P. Jean-Jacques & Peeters R., 1999. "A Differentiable Homotopy to Compute Nash Equilibria of n-Person Games," Research Memorandum 038, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  14. Eaves, B. Curtis & Schmedders, Karl, 1999. "General equilibrium models and homotopy methods," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1249-1279, September.
  15. Arrow, Kenneth J. & Hahn, Frank, 1999. "Notes on Sequence Economies, Transaction Costs, and Uncertainty," Journal of Economic Theory, Elsevier, vol. 86(2), pages 203-218, June.
  16. Brown, Donald J & DeMarzo, Peter M & Eaves, B Curtis, 1996. "Computing Equilibria When Asset Markets Are Incomplete," Econometrica, Econometric Society, vol. 64(1), pages 1-27, January.
  17. Prechac, Christophe, 1996. "Existence of equilibrium in incomplete markets with intermediation costs," Journal of Mathematical Economics, Elsevier, vol. 25(3), pages 373-380.
  18. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614 Elsevier.
  19. S. Rao Aiyagari & Mark Gertler, 1990. "Asset Returns with Transactions Cost and Uninsured Risk: A Stage III Exercise," NBER Working Papers 3481, National Bureau of Economic Research, Inc.
  20. Elul, Ronel, 1997. "Financial innovation, precautionary saving and the risk-free rate," Journal of Mathematical Economics, Elsevier, vol. 27(1), pages 113-131, February.
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