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

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. Boldrin, Michele & Rustichini, Aldo, 1994. "Growth and Indeterminacy in Dynamic Models with Externalities," Econometrica, Econometric Society, vol. 62(2), pages 323-42, March.
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  3. Lawrence J. Christiano & Jonas D.M. Fisher, 1994. "Algorithms for solving dynamic models with occasionally binding constraints," Working Paper Series, Macroeconomic Issues 94-6, Federal Reserve Bank of Chicago.
  4. Giovannini, A. & Labadie, P., 1989. "Esset Prices And Interest Rates In Cash-In-Advance Models," Papers 456, Stockholm - International Economic Studies.
  5. Robert E. Lucas, Jr. & Nancy L. Stokey, 1985. "Money and Interest in a Cash-in-Advance Economy," NBER Working Papers 1618, National Bureau of Economic Research, Inc.
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  7. Bond, Eric W. & Wang, Ping & Yip, Chong K., 1996. "A General Two-Sector Model of Endogenous Growth with Human and Physical Capital: Balanced Growth and Transitional Dynamics," Journal of Economic Theory, Elsevier, vol. 68(1), pages 149-173, January.
  8. 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.
  9. Wilbur John Coleman II, 1989. "Equilibrium in a production economy with an income tax," International Finance Discussion Papers 366, Board of Governors of the Federal Reserve System (U.S.).
  10. Bizer, David S & Judd, Kenneth L, 1989. "Taxation and Uncertainty," American Economic Review, American Economic Association, vol. 79(2), pages 331-36, May.
  11. Marcet, A. & Marimon, R., 1998. "Recursive Contracts," Economics Working Papers eco98/37, European University Institute.
  12. 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.
  13. 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.
  14. Salvador Ortigueira, 1999. "Equilibrium Indeterminacy in an Endogenous Growth Model: Debt as a Coordination Device," Working Papers 9901, Centro de Investigacion Economica, ITAM.
  15. Leininger, Wolfgang, 1986. "The Existence of Perfect Equilibria in a Model of Growth with Altruism between Generations," Review of Economic Studies, Wiley Blackwell, vol. 53(3), pages 349-67, July.
  16. Nancy L. Stokey & Sergio Rebelo, 1993. "Growth Effects of Flat-Rate Taxes," NBER Working Papers 4426, National Bureau of Economic Research, Inc.
  17. Ortigueira, Salvador & Santos, Manuel S., 2001. "Equilibrium Dynamics in a Two-Sector Model with Taxes," Working Papers 01-17, Cornell University, Center for Analytic Economics.
  18. Antonio Ladron de Guevara & Salvador Ortigueira & Manuel S. Santos, 1994. "Equilibrium Dynamics in Two-Sector Models of Endogenous Growth," Working Papers 9403, Centro de Investigacion Economica, ITAM.
  19. 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.
  20. Jeremy Greenwood & Gregory W. Huffman, 1993. "On the existence of nonoptimal equilibria in dynamic stochastic economies," Research Paper 9330, Federal Reserve Bank of Dallas.
  21. Timothy J. Kehoe & David K. Levine & Paul M. Romer, 1990. "On characterizing equilibria of economies with externalities and taxes as solutions to optimization problems," Working Papers 436, Federal Reserve Bank of Minneapolis.
  22. Rajnish Mehra, 2006. "Recursive Competitive Equilibrium," NBER Working Papers 12433, National Bureau of Economic Research, Inc.
  23. Jean-Pierre DANTHINE & John B. DONALDSON, 1993. "Computing Equilibria of Non-Optimal Economies," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 9306, Université de Lausanne, Faculté des HEC, DEEP.
  24. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-81, September.
  25. Peleg, Bezalel & Yaari, Menahem E, 1973. "On the Existence of a Consistent Course of Action when Tastes are Changing," Review of Economic Studies, Wiley Blackwell, vol. 40(3), pages 391-401, July.
  26. Becker, Robert A., 1985. "Capital income taxation and perfect foresight," Journal of Public Economics, Elsevier, vol. 26(2), pages 147-167, March.
  27. Prescott, Edward C & Mehra, Rajnish, 1980. "Recursive Competitive Equilibrium: The Case of Homogeneous Households," Econometrica, Econometric Society, vol. 48(6), pages 1365-79, September.
  28. 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.
  29. Manuel S. Santos, 2000. "Accuracy of Numerical Solutions using the Euler Equation Residuals," Econometrica, Econometric Society, vol. 68(6), pages 1377-1402, November.
  30. Rustichini, Aldo, 1998. "Dynamic Programming Solution of Incentive Constrained Problems," Journal of Economic Theory, Elsevier, vol. 78(2), pages 329-354, February.
  31. 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.
  32. Xavier Raurich, 2001. "Indeterminancy and Government Spending in a Two-Sector Model of Endogenous Growth," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(1), pages 210-229, January.
  33. Davidson, Russell & Harris, Richard, 1981. "Non-Convexities in Continuous-Time Investment Theory," Review of Economic Studies, Wiley Blackwell, vol. 48(2), pages 235-53, April.
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