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On Non-Existence of Markov Equilibria in Competitive-Market Economies

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Author Info
Manuel Santos () (W. P. Carey School of Business Department of Economics)
Abstract

This paper presents some examples of regular dynamic economies with externalities and taxes that either lack existence of a Markov equilibrium or such equilibrium is not continuous. These examples pose further challenges for the analysis and computation of these economies. JEL Classification: C10, C62

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Paper provided by Department of Economics, W. P. Carey School of Business, Arizona State University in its series Working Papers with number 2133305.

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Handle: RePEc:asu:wpaper:2133305

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  1. Greenwood Jeremy & Huffman Gregory W., 1995. "On the Existence of Nonoptimal Equilibria in Dynamic Stochastic Economies," Journal of Economic Theory, Elsevier, vol. 65(2), pages 611-623, April. [Downloadable!] (restricted)
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  2. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-81, September. [Downloadable!] (restricted)
  3. Manuel S. Santos, 2000. "Accuracy of Numerical Solutions using the Euler Equation Residuals," Econometrica, Econometric Society, vol. 68(6), pages 1377-1402, November.
  4. Mino, Kazuo, 1996. "Analysis of a Two-Sector Model of Endogenous Growth with Capital Income Taxation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(1), pages 227-51, February.
  5. Eric W. Bond & Ping Wang & Chong K. Yip, 1993. "A general two-sector model of endogenous growth with human and physical capital: balanced growth and transitional dynamics," Research Paper 9324, Federal Reserve Bank of Dallas. [Downloadable!]
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  6. Kehoe, Timothy J & Levine, David K & Romer, Paul M, 1992. "On Characterizing Equilibria of Economies with Externalities and Taxes as Solutions to Optimization Problems," Economic Theory, Springer, vol. 2(1), pages 43-68, January.
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  7. Benhabib, Jess & Gali, Jordi, 1995. "On growth and indeterminacy: some theory and evidence," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 43(1), pages 163-211, December. [Downloadable!] (restricted)
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  8. Christiano, Lawrence J. & Fisher, Jonas D. M., 2000. "Algorithms for solving dynamic models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1179-1232, July. [Downloadable!] (restricted)
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  9. V. V. Chari & Patrick J. Kehoe, 1999. "Optimal Fiscal and Monetary Policy," NBER Working Papers 6891, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  10. Manuel Santos & Salvador Ortigueira, . "Equilibrium Dynamics in a Two-Sector Model with Taxes," Working Papers 2133332, Department of Economics, W. P. Carey School of Business, Arizona State University. [Downloadable!]
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  11. Leininger, Wolfgang, 1986. "The Existence of Perfect Equilibria in a Model of Growth with Altruism between Generations," Review of Economic Studies, Blackwell Publishing, vol. 53(3), pages 349-67, July. [Downloadable!] (restricted)
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  13. Davidson, Russell & Harris, Richard, 1981. "Non-Convexities in Continuous-Time Investment Theory," Review of Economic Studies, Blackwell Publishing, vol. 48(2), pages 235-53, April. [Downloadable!] (restricted)
  14. Stokey, Nancy L & Rebelo, Sergio, 1995. "Growth Effects of Flat-Rate Taxes," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 519-50, June. [Downloadable!] (restricted)
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  15. Santos, Manuel S. & Vila, Jean-Luc, 1991. "Smoothness of the policy function in continuous-time economic models : The one-dimensional case," Journal of Economic Dynamics and Control, Elsevier, vol. 15(4), pages 741-753, October. [Downloadable!] (restricted)
  16. Ladron-de-Guevara, Antonio & Ortigueira, Salvador & Santos, Manuel S., 1997. "Equilibrium dynamics in two-sector models of endogenous growth," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 115-143, January. [Downloadable!] (restricted)
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  17. Prescott, Edward C & Mehra, Rajnish, 1980. "Recursive Competitive Equilibrium: The Case of Homogeneous Households," Econometrica, Econometric Society, vol. 48(6), pages 1365-79, September. [Downloadable!] (restricted)
  18. McGrattan, Ellen R., 1994. "A note on computing competitive equilibria in linear models," Journal of Economic Dynamics and Control, Elsevier, vol. 18(1), pages 149-160, January. [Downloadable!] (restricted)
  19. Rajnish Mehra, 2006. "Recursive Competitive Equilibrium," NBER Working Papers 12433, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  20. Marcet, A. & Marimon, R., 1998. "Recursive Contracts," Economics Working Papers eco98/37, European University Institute.
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  21. Bizer, David S & Judd, Kenneth L, 1989. "Taxation and Uncertainty," American Economic Review, American Economic Association, vol. 79(2), pages 331-36, May. [Downloadable!] (restricted)
  22. Peleg, Bezalel & Yaari, Menahem E, 1973. "On the Existence of a Consistent Course of Action when Tastes are Changing," Review of Economic Studies, Blackwell Publishing, vol. 40(3), pages 391-401, July. [Downloadable!] (restricted)
  23. Lucas, Robert E, Jr & Stokey, Nancy L, 1987. "Money and Interest in a Cash-in-Advance Economy," Econometrica, Econometric Society, vol. 55(3), pages 491-513, May. [Downloadable!] (restricted)
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  24. Alexandre Scheinkman, Jose, 1976. "On optimal steady states of n-sector growth models when utility is discounted," Journal of Economic Theory, Elsevier, vol. 12(1), pages 11-30, February. [Downloadable!] (restricted)
  25. Coleman, Wilbur John, II, 1991. "Equilibrium in a Production Economy with an Income Tax," Econometrica, Econometric Society, vol. 59(4), pages 1091-1104, July. [Downloadable!] (restricted)
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  26. Bernheim, B. Douglas & Ray, Debraj, 1989. "Markov perfect equilibria in altruistic growth economies with production uncertainty," Journal of Economic Theory, Elsevier, vol. 47(1), pages 195-202, February. [Downloadable!] (restricted)
  27. Danthine, J.P. & Donaldson, J.B., 1993. "Computing Equilibria of Non-Optimal Economies," Papers 93-01a, Columbia - Graduate School of Business.
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  28. Salvador Ortigueira, 1999. "Equilibrium Indeterminacy in an Endogenous Growth Model: Debt as a Coordination Device," Working Papers 9901, Centro de Investigacion Economica, ITAM. [Downloadable!]
  29. Rustichini, Aldo, 1998. "Dynamic Programming Solution of Incentive Constrained Problems," Journal of Economic Theory, Elsevier, vol. 78(2), pages 329-354, February. [Downloadable!] (restricted)
  30. Boldrin, Michele & Rustichini, Aldo, 1994. "Growth and Indeterminacy in Dynamic Models with Externalities," Econometrica, Econometric Society, vol. 62(2), pages 323-42, March. [Downloadable!] (restricted)
  31. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-39, May. [Downloadable!] (restricted)
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