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Approximation, perturbation, and projection methods in economic analysis

In: Handbook of Computational Economics

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  • Judd, Kenneth L.

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  • Judd, Kenneth L., 1996. "Approximation, perturbation, and projection methods in economic analysis," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 12, pages 509-585, Elsevier.
  • Handle: RePEc:eee:hecchp:1-12
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    1. 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.
    2. Rust, John, 1987. "Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher," Econometrica, Econometric Society, vol. 55(5), pages 999-1033, September.
    3. Chiappori, Pierre-Andre & Geoffard, Pierre-Yves & Guesnerie, Roger, 1992. "Sunspot Fluctuations around a Steady State: The Case of Multidimensional, One-Step Forward Looking Economic Models," Econometrica, Econometric Society, vol. 60(5), pages 1097-1126, September.
    4. Laitner, John, 1987. "The dynamic analysis of continuous-time life-cycle savings growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 11(3), pages 331-357, September.
    5. Treadway, Arthur B., 1970. "Adjustment costs and variable inputs in the theory of the competitive firm," Journal of Economic Theory, Elsevier, vol. 2(4), pages 329-347, December.
    6. Peter A. Zadrozny, 1988. "Analytic Derivatives for Estimation of Linear Dynamic Models," Working Papers 88-5, Center for Economic Studies, U.S. Census Bureau.
    7. Judd, Kenneth L, 1985. "Short-run Analysis of Fiscal Policy in a Simple Perfect Foresight Model," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 298-319, April.
    8. Christiano, Lawrence J, 1990. "Linear-Quadratic Approximation and Value-Function Iteration: A Comparison," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 99-113, January.
    9. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-453, March.
    10. Kydland, Finn, 1975. "Noncooperative and Dominant Player Solutions in Discrete Dynamic Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(2), pages 321-335, June.
    11. Kenneth L. Judd, 2003. "Closed-loop equilibrium in a multi-stage innovation race," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 673-695, March.
    12. Holly, A & Phillips, P C B, 1979. "A Saddlepoint Approximation to the Distribution of the k-Class Estimator of a Coefficient in a Simultaneous System," Econometrica, Econometric Society, vol. 47(6), pages 1527-1547, November.
    13. Williams,Jeffrey C. & Wright,Brian D., 2005. "Storage and Commodity Markets," Cambridge Books, Cambridge University Press, number 9780521023399, October.
    14. Avinash Dixit, 1991. "Analytical Approximations in Models of Hysteresis," Review of Economic Studies, Oxford University Press, vol. 58(1), pages 141-151.
    15. Judd, Kenneth L, 1987. "The Welfare Cost of Factor Taxation in a Perfect-Foresight Model," Journal of Political Economy, University of Chicago Press, vol. 95(4), pages 675-709, August.
    16. John C. Williams, 2010. "The economic outlook," Speech 86, Federal Reserve Bank of San Francisco.
    17. Bovenberg, A.L., 1988. "The corporate tax in an intertemporal equilibrium model with imperfectly mobile capital," Other publications TiSEM feff37fb-c981-45fa-b2d8-7, Tilburg University, School of Economics and Management.
    18. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    19. Dasgupta, S. & McKenzie, Lionel W., 1985. "A note on comparative statics and dynamics of stationary states," Economics Letters, Elsevier, vol. 18(4), pages 333-338.
    20. Bovenberg, A.L., 1989. "The effects of capital income taxation on international competitiveness and trade flows," Other publications TiSEM e64b6c96-399c-460f-9eff-7, Tilburg University, School of Economics and Management.
    21. den Haan, Wouter J & Marcet, Albert, 1990. "Solving the Stochastic Growth Model by Parameterizing Expectations," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 31-34, January.
    22. Cooley, Thomas F & Hansen, Gary D, 1989. "The Inflation Tax in a Real Business Cycle Model," American Economic Review, American Economic Association, vol. 79(4), pages 733-748, September.
    23. Wright, Brian D & Williams, Jeffrey C, 1982. "The Economic Role of Commodity Storage," Economic Journal, Royal Economic Society, vol. 92(367), pages 596-614, September.
    24. Stephen P. Zeldes, 1989. "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," The Quarterly Journal of Economics, Oxford University Press, vol. 104(2), pages 275-298.
    25. Hansen, Lars Peter & Sargent, Thomas J., 1980. "Formulating and estimating dynamic linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 7-46, May.
    26. Brian D. Wright & Jeffrey C. Williams, 1984. "The Welfare Effects of the Introduction of Storage," The Quarterly Journal of Economics, Oxford University Press, vol. 99(1), pages 169-192.
    27. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    28. Santos, M.S. & Vila, J-L., 1988. "Smoothness Of Policy Function In Continuous Time Economic Models: The One Dimensional Case," UFAE and IAE Working Papers 112-89, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    29. Danthine, Jean-Pierre & Donaldson, John B. & Mehra, Rajnish, 1989. "On some computational aspects of equilibrium business cycle theory," Journal of Economic Dynamics and Control, Elsevier, vol. 13(3), pages 449-470, July.
    30. Bizer, David S & Judd, Kenneth L, 1989. "Taxation and Uncertainty," American Economic Review, American Economic Association, vol. 79(2), pages 331-336, May.
    31. Danthine, Jean-Pierre & Donaldson, John B, 1981. "Stochastic Properties of Fast vs. Slow Growing Economies," Econometrica, Econometric Society, vol. 49(4), pages 1007-1033, June.
    32. Sharon A. Johnson & Jery R. Stedinger & Christine A. Shoemaker & Ying Li & José Alberto Tejada-Guibert, 1993. "Numerical Solution of Continuous-State Dynamic Programs Using Linear and Spline Interpolation," Operations Research, INFORMS, vol. 41(3), pages 484-500, June.
    33. William A. Brock & Leonard J. Mirman, 2001. "Optimal Economic Growth And Uncertainty: The Discounted Case," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 1, pages 3-37, Edward Elgar Publishing.
    34. Michael R. Caputo, 1990. "Comparative Dynamics via Envelope Methods in Variational Calculus," Review of Economic Studies, Oxford University Press, vol. 57(4), pages 689-697.
    35. Huffman, Gregory W, 1987. "A Dynamic Equilibrium Model of Asset Prices and Transaction Volume," Journal of Political Economy, University of Chicago Press, vol. 95(1), pages 138-159, February.
    36. Magill, Michael J. P., 1977. "A local analysis of N-sector capital accumulation under uncertainty," Journal of Economic Theory, Elsevier, vol. 15(1), pages 211-219, June.
    37. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    38. Paul A. Samuelson, 1970. "The Fundamental Approximation Theorem of Portfolio Analysis in terms of Means, Variances and Higher Moments," Review of Economic Studies, Oxford University Press, vol. 37(4), pages 537-542.
    39. Lars Peter Hansen & Thomas J. Sargent, 1993. "Recursive linear models of dynamic economies," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
    40. Otani, Kiyoshi, 1982. "Explicit Formulae of Comparative Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 411-419, June.
    41. Araujo, A & Scheinkman, Jose A, 1977. "Smoothness, Comparative Dynamics, and the Turnpike Property," Econometrica, Econometric Society, vol. 45(3), pages 601-620, April.
    42. Kotlikoff, Laurence J & Shoven, John & Spivak, Avia, 1986. "The Effect of Annuity Insurance and Savings and Inequality," Journal of Labor Economics, University of Chicago Press, vol. 4(3), pages 183-207, July.
    43. Christiano, Lawrence J, 1990. "Solving the Stochastic Growth Model by Linear-Quadratic Approximation and by Value-Function Iteration," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 23-26, January.
    44. Ghysels, E. & Lieberman, O., 1993. "Dynamic Regression and Filtered Data Series: A Laplace Approximation to the Effects of Filtering in Small Samples," Cahiers de recherche 9335, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    45. Taylor, John B & Uhlig, Harald, 1990. "Solving Nonlinear Stochastic Growth Models: A Comparison of Alternative Solution Methods," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 1-17, January.
    46. Phillips, P C B, 1991. "To Criticize the Critics: An Objective Bayesian Analysis of Stochastic Trends," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(4), pages 333-364, Oct.-Dec..
    47. Rajnish Mehra, 2006. "Recursive Competitive Equilibrium," NBER Working Papers 12433, National Bureau of Economic Research, Inc.
    48. Jess Benhabib & Kazuo Nishimura, 2012. "The Hopf Bifurcation and Existence and Stability of Closed Orbits in Multisector Models of Optimal Economic Growth," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 51-73, Springer.
    49. Miranda, Mario J & Helmberger, Peter G, 1988. "The Effects of Commodity Price Stabilization Programs," American Economic Review, American Economic Association, vol. 78(1), pages 46-58, March.
    50. Albrecht, James W. & Holmlund, Bertil & Lang, Harald, 1991. "Comparative statics in dynamic programming models with an application to job search," Journal of Economic Dynamics and Control, Elsevier, vol. 15(4), pages 755-769, October.
    51. McGrattan, Ellen R, 1990. "Solving the Stochastic Growth Model by Linear-Quadratic Approximation," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 41-44, January.
    52. Laitner, John, 1989. "Dynamic determinacy and the existence of sunspot equilibria," Journal of Economic Theory, Elsevier, vol. 47(1), pages 39-50, February.
    53. Bovenberg, A Lans, 1989. "The Effects of Capital Income Taxation on International Competitiveness and Trade Flows," American Economic Review, American Economic Association, vol. 79(5), pages 1045-1064, December.
    54. Finn Kydland & Edward C. Prescott, 1980. "A Competitive Theory of Fluctuations and the Feasibility and Desirability of Stabilization Policy," NBER Chapters, in: Rational Expectations and Economic Policy, pages 169-198, National Bureau of Economic Research, Inc.
    55. Zhang, Wei-Bin, 1988. "Hopf bifurcations in multisector models of optimal economic growth," Economics Letters, Elsevier, vol. 26(4), pages 329-334.
    56. LaFrance, Jeffrey T. & Barney, L. Dwayne, 1991. "The envelope theorem in dynamic optimization," Journal of Economic Dynamics and Control, Elsevier, vol. 15(2), pages 355-385, April.
    57. Bovenberg, A.L., 1986. "Capital income taxation in growing open economies," Other publications TiSEM d92d32f6-df9f-418b-bbd3-d, Tilburg University, School of Economics and Management.
    58. Zadrozny, Peter, 1988. "Analytic Derivatives for Estimation of Discrete-Time,," Econometrica, Econometric Society, vol. 56(2), pages 467-472, March.
    59. Sargent, Thomas J, 1978. "Estimation of Dynamic Labor Demand Schedules under Rational Expectations," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 1009-1044, December.
    60. Caputo, Michael R., 1990. "How to do comparative dynamics on the back of an envelope in optimal control theory," Journal of Economic Dynamics and Control, Elsevier, vol. 14(3-4), pages 655-683, October.
    61. Gustafson, Robert L., 1958. "Carryover levels for grains: A method for determining amounts that are optimal under specified conditions," Technical Bulletins 157231, United States Department of Agriculture, Economic Research Service.
    62. Franke, Reiner, 1992. "Stable, Unstable, and Persistent Cyclical Behaviour in a Keynes-Wicksell Monetary Growth Model," Oxford Economic Papers, Oxford University Press, vol. 44(2), pages 242-256, April.
    63. Laitner, John P, 1981. "The Stability of Steady States in Perfect Foresight Models," Econometrica, Econometric Society, vol. 49(2), pages 319-333, March.
    64. Mortensen, Dale T, 1973. "Generalized Costs of Adjustment and Dynamic Factor Demand Theory," Econometrica, Econometric Society, vol. 41(4), pages 657-665, July.
    65. Laitner, John, 1990. "Tax Changes and Phase Diagrams for an Overlapping Generations Model," Journal of Political Economy, University of Chicago Press, vol. 98(1), pages 193-220, February.
    66. Kydland, Finn, 1977. "Equilibrium solutions in dynamic dominant-player models," Journal of Economic Theory, Elsevier, vol. 15(2), pages 307-324, August.
    67. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    68. Judd, Kenneth L., 1982. "An alternative to steady-state comparisons in perfect foresight models," Economics Letters, Elsevier, vol. 10(1-2), pages 55-59.
    69. Brock, William A & Turnovsky, Stephen J, 1981. "The Analysis of Macroeconomic Policies in Perfect Foresight Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(1), pages 179-209, February.
    70. Oniki, Hajime, 1973. "Comparative dynamics (sensitivity analysis) in optimal control theory," Journal of Economic Theory, Elsevier, vol. 6(3), pages 265-283, June.
    71. Coleman, Wilbur John, II, 1990. "Solving the Stochastic Growth Model by Policy-Function Iteration," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 27-29, January.
    72. Judd, Kenneth, 1987. "Debt and distortionary taxation in a simple perfect foresight model," Journal of Monetary Economics, Elsevier, vol. 20(1), pages 51-72, July.
    73. Bovenberg, A. Lans, 1986. "Capital income taxation in growing open economies," Journal of Public Economics, Elsevier, vol. 31(3), pages 347-376, December.
    74. Laitner, John, 1984. "Transition time paths for overlapping-generations models," Journal of Economic Dynamics and Control, Elsevier, vol. 7(2), pages 111-129, May.
    75. Feichtinger, Gustav, 1992. "Hopf bifurcation in an advertising diffusion model," Journal of Economic Behavior & Organization, Elsevier, vol. 17(3), pages 401-411, May.
    76. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-1286, September.
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