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Stochastic Equilibrium the Lucas Critique and Keynesian Economics

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  • David Staines
Abstract
In this paper, a mathematically rigorous solution overturns existing wisdom regarding New Keynesian Dynamic Stochastic General Equilibrium. I develop a formal concept of stochastic equilibrium. I prove uniqueness and necessity, when agents are patient, with general application. Existence depends on appropriately specified eigenvalue conditions. Otherwise, no solution of any kind exists. I construct the equilibrium with Calvo pricing. I provide novel comparative statics with the non-stochastic model of mathematical significance. I uncover a bifurcation between neighbouring stochastic systems and approximations taken from the Zero Inflation Non-Stochastic Steady State (ZINSS). The correct Phillips curve agrees with the zero limit from the trend inflation framework. It contains a large lagged inflation coefficient and a small response to expected inflation. Price dispersion can be first or second order depending how shocks are scaled. The response to the output gap is always muted and is zero at standard parameters. A neutrality result is presented to explain why and align Calvo with Taylor pricing. Present and lagged demand shocks enter the Phillips curve so there is no Divine Coincidence and the system is identified from structural shocks alone. The lagged inflation slope is increasing in the inflation response, embodying substantive policy trade-offs. The Taylor principle is reversed, inactive settings are necessary, pointing towards inertial policy. The observational equivalence idea of the Lucas critique is disproven. The bifurcation results from the breakdown of the constraints implied by lagged nominal rigidity, associated with cross-equation cancellation possible only at ZINSS. There is a dual relationship between restrictions on the econometrician and constraints on repricing firms. Thus, if the model is correct, goodness of fit will jump.

Suggested Citation

  • David Staines, 2023. "Stochastic Equilibrium the Lucas Critique and Keynesian Economics," Papers 2312.16214, arXiv.org, revised Jun 2024.
    • Handle: RePEc:arx:papers:2312.16214
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    as
    1. Ian Domowitz & R. Glenn Hubbard & Bruce C. Petersen, 1986. "Business Cycles and the Relationship Between Concentration and Price-Cost Margins," RAND Journal of Economics, The RAND Corporation, vol. 17(1), pages 1-17, Spring.
    2. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-987, December.
    3. Olivier Coibion & Dimitris Georgarakos & Yuriy Gorodnichenko & Michael Weber, 2023. "Forward Guidance and Household Expectations," Journal of the European Economic Association, European Economic Association, vol. 21(5), pages 2131-2171.
    4. Del Negro, Marco & Giannone, Domenico & Giannoni, Marc P. & Tambalotti, Andrea, 2019. "Global trends in interest rates," Journal of International Economics, Elsevier, vol. 118(C), pages 248-262.
    5. Motohiro Yogo, 2004. "Estimating the Elasticity of Intertemporal Substitution When Instruments Are Weak," The Review of Economics and Statistics, MIT Press, vol. 86(3), pages 797-810, August.
    6. Bernardo Guimaraes & Kevin D. Sheedy, 2011. "Sales and Monetary Policy," American Economic Review, American Economic Association, vol. 101(2), pages 844-876, April.
    7. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    8. Alois Kneip & Monika Merz & Lidia Storjohann, 2020. "Aggregation and Labor Supply Elasticities [Do Reservation Wages Really Decline? Some International Evidence on the Determinants of Reservation Wages]," Journal of the European Economic Association, European Economic Association, vol. 18(5), pages 2315-2358.
    9. Takushi Kurozumi & Willem Van Zandweghe, 2016. "Kinked Demand Curves, the Natural Rate Hypothesis, and Macroeconomic Stability," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 240-257, April.
    10. Dutta, Shantanu, et al, 1999. "Menu Costs, Posted Prices, and Multiproduct Retailers," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(4), pages 683-703, November.
    11. Etienne Gagnon & David López-Salido, 2020. "Small Price Responses to Large Demand Shocks," Journal of the European Economic Association, European Economic Association, vol. 18(2), pages 792-828.
    12. Crump, Richard K. & Eusepi, Stefano & Tambalotti, Andrea & Topa, Giorgio, 2022. "Subjective intertemporal substitution," Journal of Monetary Economics, Elsevier, vol. 126(C), pages 118-133.
    13. Kehoe, Patrick & Midrigan, Virgiliu, 2015. "Prices are sticky after all," Journal of Monetary Economics, Elsevier, vol. 75(C), pages 35-53.
    14. James W. Friedman, 1971. "A Non-cooperative Equilibrium for Supergames," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 1-12.
    15. Thomas M. Mertens & John C. Williams, 2021. "What to Expect from the Lower Bound on Interest Rates: Evidence from Derivatives Prices," American Economic Review, American Economic Association, vol. 111(8), pages 2473-2505, August.
    16. Mohitosh Kejriwal, 2020. "A Robust Sequential Procedure for Estimating the Number of Structural Changes in Persistence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(3), pages 669-685, June.
    17. Benati, Luca & Lucas, Robert E. & Nicolini, Juan Pablo & Weber, Warren, 2021. "International evidence on long-run money demand," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 43-63.
    18. Blanchard, Olivier & Wolfers, Justin, 2000. "The Role of Shocks and Institutions in the Rise of European Unemployment: The Aggregate Evidence," Economic Journal, Royal Economic Society, vol. 110(462), pages 1-33, March.
    19. Juillard Michel, 2011. "Local approximation of DSGE models around the risky steady state," wp.comunite 0087, Department of Communication, University of Teramo.
    20. Alberto Cavallo, 2017. "Are Online and Offline Prices Similar? Evidence from Large Multi-channel Retailers," American Economic Review, American Economic Association, vol. 107(1), pages 283-303, January.
    21. Lena Dräger & Giang Nghiem, 2021. "Are Consumers' Spending Decisions in Line with A Euler Equation?," The Review of Economics and Statistics, MIT Press, vol. 103(3), pages 580-596, July.
    22. Canova, Fabio, 1998. "Detrending and business cycle facts," Journal of Monetary Economics, Elsevier, vol. 41(3), pages 475-512, May.
    23. Kenneth N. Kuttner, 2018. "Outside the Box: Unconventional Monetary Policy in the Great Recession and Beyond," Department of Economics Working Papers 2018-04, Department of Economics, Williams College.
    24. Orley Ashenfelter & Kirk Doran & Bruce Schaller, 2010. "A Shred of Credible Evidence on the Long‐run Elasticity of Labour Supply," Economica, London School of Economics and Political Science, vol. 77(308), pages 637-650, October.
    25. Ascari, Guido & Rankin, Neil, 2002. "Staggered wages and output dynamics under disinflation," Journal of Economic Dynamics and Control, Elsevier, vol. 26(4), pages 653-680, April.
    26. Jonathan L. Willis, 2006. "Magazine prices revisited," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(3), pages 337-344, April.
    27. Woodford, Michael, 2009. "Information-constrained state-dependent pricing," Journal of Monetary Economics, Elsevier, vol. 56(S), pages 100-124.
    28. Mark J. Zbaracki & Mark Ritson & Daniel Levy & Shantanu Dutta & Mark Bergen, 2004. "Managerial and Customer Costs of Price Adjustment: Direct Evidence from Industrial Markets," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 514-533, May.
    29. Jing Cynthia Wu & Fan Dora Xia, 2016. "Measuring the Macroeconomic Impact of Monetary Policy at the Zero Lower Bound," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(2-3), pages 253-291, March.
    30. Atif Mian & Amir Sufi, 2018. "Finance and Business Cycles: The Credit-Driven Household Demand Channel," Journal of Economic Perspectives, American Economic Association, vol. 32(3), pages 31-58, Summer.
    31. Hodrick, Robert J & Prescott, Edward C, 1997. "Postwar U.S. Business Cycles: An Empirical Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(1), pages 1-16, February.
    32. Levon Barseghyan & Francesca Molinari & Ted O'Donoghue & Joshua C. Teitelbaum, 2018. "Estimating Risk Preferences in the Field," Journal of Economic Literature, American Economic Association, vol. 56(2), pages 501-564, June.
    33. Nicoletta Batini & Edward Nelson, 2001. "The Lag from Monetary Policy Actions to Inflation: Friedman Revisited," International Finance, Wiley Blackwell, vol. 4(3), pages 381-400.
    34. Laurence Ball & David Romer, 1990. "Real Rigidities and the Non-Neutrality of Money," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(2), pages 183-203.
    35. Alberto Cavallo, 2018. "Scraped Data and Sticky Prices," The Review of Economics and Statistics, MIT Press, vol. 100(1), pages 105-119, March.
    36. Havranek, Tomas & Horvath, Roman & Irsova, Zuzana & Rusnak, Marek, 2015. "Cross-country heterogeneity in intertemporal substitution," Journal of International Economics, Elsevier, vol. 96(1), pages 100-118.
    37. Michael W. McCracken, 2020. "Diverging Tests of Equal Predictive Ability," Econometrica, Econometric Society, vol. 88(4), pages 1753-1754, July.
    38. Kamihigashi, Takashi & Stachurski, John, 2016. "Seeking ergodicity in dynamic economies," Journal of Economic Theory, Elsevier, vol. 163(C), pages 900-924.
    39. Felipe Benguria & Alan M. Taylor, 2020. "After the Panic: Are Financial Crises Demand or Supply Shocks? Evidence from International Trade," American Economic Review: Insights, American Economic Association, vol. 2(4), pages 509-526, December.
    40. Robert Shimer, 2009. "Convergence in Macroeconomics: The Labor Wedge," American Economic Journal: Macroeconomics, American Economic Association, vol. 1(1), pages 280-297, January.
    41. Bond, Steve & Hashemi, Arshia & Kaplan, Greg & Zoch, Piotr, 2021. "Some unpleasant markup arithmetic: Production function elasticities and their estimation from production data," Journal of Monetary Economics, Elsevier, vol. 121(C), pages 1-14.
    42. Iván Werning, 2015. "Incomplete Markets and Aggregate Demand," NBER Working Papers 21448, National Bureau of Economic Research, Inc.
    43. Roman Horvath & Ali Elminejad & Tomas Havranek, 2020. "Publication and Identification Biases in Measuring the Intertemporal Substitution of Labor Supply," Working Papers IES 2020/32, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Sep 2020.
    44. Philip Vermeulen & Daniel A. Dias & Maarten Dossche & Erwan Gautier & Ignacio Hernando & Roberto Sabbatini & Harald Stahl, 2012. "Price Setting in the Euro Area: Some Stylized Facts from Individual Producer Price Data," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(8), pages 1631-1650, December.
    45. Massimo Marinacci & Luigi Montrucchio, 2019. "Unique Tarski Fixed Points," Management Science, INFORMS, vol. 44(4), pages 1174-1191, November.
    46. Marco Del Negro & Marc P. Giannoni & Christina Patterson, 2023. "The Forward Guidance Puzzle," Journal of Political Economy Macroeconomics, University of Chicago Press, vol. 1(1), pages 43-79.
    47. repec:ecj:econjl:v:122:y:2012:i::p:532-554 is not listed on IDEAS
    48. Phillips, P.C.B., 1986. "Understanding spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 33(3), pages 311-340, December.
    49. Oleksiy Kryvtsov & Nicolas Vincent, 2021. "The Cyclicality of Sales and Aggregate Price Flexibility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(1), pages 334-377.
    50. Alan J. Auerbach & Yuriy Gorodnichenko, 2013. "Output Spillovers from Fiscal Policy," American Economic Review, American Economic Association, vol. 103(3), pages 141-146, May.
    51. Cooper, J Phillip & Fischer, Stanley, 1972. "Simulations of Monetary Rules in the FRB-MIT-Penn Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 4(2), pages 384-396, May.
    52. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
    53. Doran, Kirk, 2014. "Are long-term wage elasticities of labor supply more negative than short-term ones?," Economics Letters, Elsevier, vol. 122(2), pages 208-210.
    54. Marco Bianchi & Bjorn R. Gudmundsson & Gylfi Zoega, 2001. "Iceland's Natural Experiment in Supply-Side Economics," American Economic Review, American Economic Association, vol. 91(5), pages 1564-1579, December.
    55. Takushi Kurozumi, 2016. "Endogenous Price Stickiness, Trend Inflation, and Macroeconomic Stability," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(6), pages 1267-1291, September.
    56. Supreet Kaur, 2019. "Nominal Wage Rigidity in Village Labor Markets," American Economic Review, American Economic Association, vol. 109(10), pages 3585-3616, October.
    57. Alesina, Alberto & Summers, Lawrence H, 1993. "Central Bank Independence and Macroeconomic Performance: Some Comparative Evidence," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 25(2), pages 151-162, May.
    58. Baxa, Jaromír & Horváth, Roman & Vašíček, Bořek, 2013. "Time-varying monetary-policy rules and financial stress: Does financial instability matter for monetary policy?," Journal of Financial Stability, Elsevier, vol. 9(1), pages 117-138.
    59. 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.
    60. Philip Vermeulen & Daniel A. Dias & Maarten Dossche & Erwan Gautier & Ignacio Hernando & Roberto Sabbatini & Harald Stahl, 2012. "Price Setting in the Euro Area: Some Stylized Facts from Individual Producer Price Data," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(8), pages 1631-1650, December.
    61. Lawrence J. Christiano & Terry J. Fitzgerald, 2003. "The Band Pass Filter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 435-465, May.
    62. Russell Cooper & Andrew John, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(3), pages 441-463.
    63. Mark Gertler & Peter Karadi, 2015. "Monetary Policy Surprises, Credit Costs, and Economic Activity," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(1), pages 44-76, January.
    64. Jesús Fernández‐Villaverde & Samuel Hurtado & Galo Nuño, 2023. "Financial Frictions and the Wealth Distribution," Econometrica, Econometric Society, vol. 91(3), pages 869-901, May.
    65. Olivier Blanchard & Jordi Galí, 2007. "Real Wage Rigidities and the New Keynesian Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(s1), pages 35-65, February.
    66. Emi Nakamura & Jón Steinsson, 2010. "Monetary Non-neutrality in a Multisector Menu Cost Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(3), pages 961-1013.
    67. Margaret E. Slade & G.R.E.Q.A.M., 1998. "Optimal Pricing with Costly Adjustment: Evidence from Retail-Grocery Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(1), pages 87-107.
    68. Annette Vissing-Jorgensen, 2002. "Limited Asset Market Participation and the Elasticity of Intertemporal Substitution," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 825-853, August.
    69. Morten O. Ravn & Harald Uhlig, 2002. "On adjusting the Hodrick-Prescott filter for the frequency of observations," The Review of Economics and Statistics, MIT Press, vol. 84(2), pages 371-375.
    70. Giné, Xavier & Martinez-Bravo, Monica & Vidal-Fernández, Marian, 2017. "Are labor supply decisions consistent with neoclassical preferences? Evidence from Indian boat owners," Journal of Economic Behavior & Organization, Elsevier, vol. 142(C), pages 331-347.
    71. Beck, Günter W. & Lein, Sarah M., 2020. "Price elasticities and demand-side real rigidities in micro data and in macro models," Journal of Monetary Economics, Elsevier, vol. 115(C), pages 200-212.
    72. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    73. Gabriel Chodorow-Reich & Loukas Karabarbounis, 2016. "The Cyclicality of the Opportunity Cost of Employment," Journal of Political Economy, University of Chicago Press, vol. 124(6), pages 1563-1618.
    74. Orley Ashenfelter & Kirk Doran & Bruce Schaller, 2010. "A Shred of Credible Evidence on the Long‐run Elasticity of Labour Supply," Economica, London School of Economics and Political Science, vol. 77(308), pages 637-650, October.
    75. Julio J. Rotemberg, 2013. "Shifts in US Federal Reserve Goals and Tactics for Monetary Policy: A Role for Penitence?," Journal of Economic Perspectives, American Economic Association, vol. 27(4), pages 65-86, Fall.
    76. James H. Stock & Mark W. Watson, 2005. "Understanding Changes In International Business Cycle Dynamics," Journal of the European Economic Association, MIT Press, vol. 3(5), pages 968-1006, September.
    77. Alessandro Barattieri & Susanto Basu & Peter Gottschalk, 2014. "Some Evidence on the Importance of Sticky Wages," American Economic Journal: Macroeconomics, American Economic Association, vol. 6(1), pages 70-101, January.
    78. Kenneth L. Judd & Lilia Maliar & Serguei Maliar, 2017. "Lower Bounds on Approximation Errors to Numerical Solutions of Dynamic Economic Models," Econometrica, Econometric Society, vol. 85, pages 991-1012, May.
    79. Ball, Laurence, 2012. "Short-run money demand," Journal of Monetary Economics, Elsevier, vol. 59(7), pages 622-633.
    80. Henry S. Farber, 2015. "Why you Can’t Find a Taxi in the Rain and Other Labor Supply Lessons from Cab Drivers," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 130(4), pages 1975-2026.
    81. repec:pri:cepsud:199ashenfelter is not listed on IDEAS
    82. Daron Acemoglu & Simon Johnson & Pablo Querubin & James A. Robinson, 2008. "When Does Policy Reform Work? The Case of Central Bank Independence," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 39(1 (Spring), pages 351-429.
    83. Michael Carlos Best & James S Cloyne & Ethan Ilzetzki & Henrik J Kleven, 2020. "Estimating the Elasticity of Intertemporal Substitution Using Mortgage Notches," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 87(2), pages 656-690.
    84. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    85. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2009. "New Keynesian Models: Not Yet Useful for Policy Analysis," American Economic Journal: Macroeconomics, American Economic Association, vol. 1(1), pages 242-266, January.
    86. Stefano Giglio & Matteo Maggiori & Johannes Stroebel, 2016. "No‐Bubble Condition: Model‐Free Tests in Housing Markets," Econometrica, Econometric Society, vol. 84, pages 1047-1091, May.
    87. Kirkby, Robert, 2019. "Bewley–Huggett–Aiyagari Models: Computation, Simulation, And Uniqueness Of General Equilibrium," Macroeconomic Dynamics, Cambridge University Press, vol. 23(6), pages 2469-2508, September.
    88. Mark Bils & Peter J. Klenow, 2004. "Some Evidence on the Importance of Sticky Prices," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 947-985, October.
    89. Esteban Rossi-Hansberg & Pierre-Daniel Sarte & Nicholas Trachter, 2021. "Diverging Trends in National and Local Concentration," NBER Macroeconomics Annual, University of Chicago Press, vol. 35(1), pages 115-150.
    90. Fredrik Wulfsberg, 2016. "Inflation and Price Adjustments: Micro Evidence from Norwegian Consumer Prices 1975-2004," American Economic Journal: Macroeconomics, American Economic Association, vol. 8(3), pages 175-194, July.
    91. Saroj Bhattarai & Christopher J. Neely, 2022. "An Analysis of the Literature on International Unconventional Monetary Policy," Journal of Economic Literature, American Economic Association, vol. 60(2), pages 527-597, June.
    92. Mark Gertler & Simon Gilchrist, 2018. "What Happened: Financial Factors in the Great Recession," Journal of Economic Perspectives, American Economic Association, vol. 32(3), pages 3-30, Summer.
    93. Fehr, Ernst & Goette, Lorenz, 2005. "Robustness and real consequences of nominal wage rigidity," Journal of Monetary Economics, Elsevier, vol. 52(4), pages 779-804, May.
    94. Mark Bils & Peter J. Klenow & Benjamin A. Malin, 2013. "Testing for Keynesian Labor Demand," NBER Macroeconomics Annual, University of Chicago Press, vol. 27(1), pages 311-349.
    95. Masao Ogaki & Carmen M. Reinhart, 1998. "Measuring Intertemporal Substitution: The Role of Durable Goods," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 1078-1098, October.
    96. Yves Achdou & Jiequn Han & Jean-Michel Lasry & Pierre-Louis Lionse & Benjamin Moll, 2022. "Income and Wealth Distribution in Macroeconomics: A Continuous-Time Approach," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(1), pages 45-86.
    97. Frank Smets & Rafael Wouters, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," American Economic Review, American Economic Association, vol. 97(3), pages 586-606, June.
    98. Rajnish Mehra, 2006. "Recursive Competitive Equilibrium," NBER Working Papers 12433, National Bureau of Economic Research, Inc.
    99. Marco Di Maggio & Amir Kermani & Christopher J Palmer, 2020. "How Quantitative Easing Works: Evidence on the Refinancing Channel," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 87(3), pages 1498-1528.
    100. Barro, Robert J & Grossman, Herschel I, 1971. "A General Disequilibrium Model of Income and Employment," American Economic Review, American Economic Association, vol. 61(1), pages 82-93, March.
    101. Levy, Daniel & Dutta, Shantanu & Bergen, Mark & Venable, Robert, 1998. "Price Adjustment at Multiproduct Retailers," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 19(2), pages 81-120.
    102. Markus K. Brunnermeier & Sebastian A. Merkel & Yuliy Sannikov, 2020. "The Fiscal Theory of Price Level with a Bubble," NBER Working Papers 27116, National Bureau of Economic Research, Inc.
    103. Christina D. Romer & David H. Romer, 2004. "A New Measure of Monetary Shocks: Derivation and Implications," American Economic Review, American Economic Association, vol. 94(4), pages 1055-1084, September.
    104. Tomas Havranek & Marek Rusnak, 2013. "Transmission Lags of Monetary Policy: A Meta-Analysis," International Journal of Central Banking, International Journal of Central Banking, vol. 9(4), pages 39-76, December.
    105. Karlyn Mitchell & Douglas Pearce, 2010. "Do Wall Street economists believe in Okun’s Law and the Taylor Rule?," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 34(2), pages 196-217, April.
    106. Stachurski, John, 2002. "Stochastic Optimal Growth with Unbounded Shock," Journal of Economic Theory, Elsevier, vol. 106(1), pages 40-65, September.
    107. King, Robert G. & Rebelo, Sergio T., 1993. "Low frequency filtering and real business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 17(1-2), pages 207-231.
    108. Tomáš Havránek, 2015. "Measuring Intertemporal Substitution: The Importance Of Method Choices And Selective Reporting," Journal of the European Economic Association, European Economic Association, vol. 13(6), pages 1180-1204, December.
    109. Martin Kaae Jensen, 2018. "Distributional Comparative Statics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 581-610.
    110. Olivier Blanchard & Giovanni Dell'Ariccia & Paolo Mauro, 2010. "Rethinking Macroeconomic Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(s1), pages 199-215, September.
    111. Georgios Chortareas & George Magonis, 2008. "What do we Learn from Taylor Rule Estimations? A Meta-Analysis," Ekonomia, Cyprus Economic Society and University of Cyprus, vol. 11(2), pages 112-138, Winter.
    112. Jan De Loecker & Jan Eeckhout & Gabriel Unger, 2020. "The Rise of Market Power and the Macroeconomic Implications [“Econometric Tools for Analyzing Market Outcomes”]," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(2), pages 561-644.
    113. Edward C. Prescott & Rajnish Mehra, 2005. "Recursive Competitive Equilibrium: The Case Of Homogeneous Households," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 11, pages 357-371, World Scientific Publishing Co. Pte. Ltd..
    114. Sonnenschein, Hugo, 1973. "Do Walras' identity and continuity characterize the class of community excess demand functions?," Journal of Economic Theory, Elsevier, vol. 6(4), pages 345-354, August.
    115. Carvalho, Carlos & Nechio, Fernanda, 2014. "Do people understand monetary policy?," Journal of Monetary Economics, Elsevier, vol. 66(C), pages 108-123.
    116. Robert E. Hall, 2018. "Using Empirical Marginal Cost to Measure Market Power in the US Economy," NBER Working Papers 25251, National Bureau of Economic Research, Inc.
    117. Sonnenschein, Hugo, 1972. "Market Excess Demand Functions," Econometrica, Econometric Society, vol. 40(3), pages 549-563, May.
    118. Ernst Fehr & Lorenz Goette, 2007. "Do Workers Work More if Wages Are High? Evidence from a Randomized Field Experiment," American Economic Review, American Economic Association, vol. 97(1), pages 298-317, March.
    119. Buiter, Willem H., 1982. "Predetermined and non-predetermined variables in rational expectations models," Economics Letters, Elsevier, vol. 10(1-2), pages 49-54.
    120. Goodhart, C. A. E. & Pradhan, Manoj, 2023. "A snapshot of Central Bank (two year) forecasting: a mixed picture," LSE Research Online Documents on Economics 118680, London School of Economics and Political Science, LSE Library.
    121. Eyal Baharad & Benjamin Eden, 2004. "Price Rigidity and Price Dispersion: Evidence from Micro Data," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 613-641, July.
    122. Hindrayanto, Irma & Samarina, Anna & Stanga, Irina M., 2019. "Is the Phillips curve still alive? Evidence from the euro area," Economics Letters, Elsevier, vol. 174(C), pages 149-152.
    123. Wenbin Wu, 2018. "The Credit Channel at the Zero Lower Bound through the Lens of Equity Prices," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 50(2-3), pages 435-448, March.
    124. Tatjana Dahlhaus & Kristina Hess & Abeer Reza, 2018. "International Transmission Channels of U.S. Quantitative Easing: Evidence from Canada," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 50(2-3), pages 545-563, March.
    125. Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 187-223.
    126. Greg Kaplan & Giovanni L. Violante & Justin Weidner, 2014. "The Wealthy Hand-to-Mouth," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 45(1 (Spring), pages 77-153.
    127. Etienne Gagnon, 2009. "Price Setting during Low and High Inflation: Evidence from Mexico," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(3), pages 1221-1263.
    128. Robert E. Hall, 2009. "Reconciling Cyclical Movements in the Marginal Value of Time and the Marginal Product of Labor," Journal of Political Economy, University of Chicago Press, vol. 117(2), pages 281-323, April.
    129. Eggertsson, Gauti B. & Singh, Sanjay R., 2019. "Log-linear approximation versus an exact solution at the ZLB in the New Keynesian model," Journal of Economic Dynamics and Control, Elsevier, vol. 105(C), pages 21-43.
    130. Bartosz Maćkowiak & Filip Matějka & Mirko Wiederholt, 2023. "Rational Inattention: A Review," Journal of Economic Literature, American Economic Association, vol. 61(1), pages 226-273, March.
    131. Gottlieb, Charles & Onken, Joern & Valladares-Esteban, Arnau, 2021. "On the measurement of the elasticity of labour," European Economic Review, Elsevier, vol. 139(C).
    132. Ball, Laurence & Romer, David, 1991. "Sticky Prices as Coordination Failure," American Economic Review, American Economic Association, vol. 81(3), pages 539-552, June.
    133. Peter Kennedy, 2003. "A Guide to Econometrics, 5th Edition," MIT Press Books, The MIT Press, edition 5, volume 1, number 026261183x, April.
    134. Montero, José Manuel & Urtasun, Alberto, 2021. "Markup dynamics and financial frictions: The Spanish case," International Review of Economics & Finance, Elsevier, vol. 71(C), pages 316-341.
    135. Hooper, Peter & Mishkin, Frederic S. & Sufi, Amir, 2020. "Prospects for inflation in a high pressure economy: Is the Phillips curve dead or is it just hibernating?," Research in Economics, Elsevier, vol. 74(1), pages 26-62.
    136. Susanto Basu, 2019. "Are Price-Cost Markups Rising in the United States? A Discussion of the Evidence," Journal of Economic Perspectives, American Economic Association, vol. 33(3), pages 3-22, Summer.
    137. Michael P. Keane, 2011. "Labor Supply and Taxes: A Survey," Journal of Economic Literature, American Economic Association, vol. 49(4), pages 961-1075, December.
    138. Mikhail V. Oet & Kalle Lyytinen, 2017. "Does Financial Stability Matter to the Fed in Setting US Monetary Policy?," Review of Finance, European Finance Association, vol. 21(1), pages 389-432.
    139. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    140. B. Douglas Bernheim, 2009. "Behavioral Welfare Economics," Journal of the European Economic Association, MIT Press, vol. 7(2-3), pages 267-319, 04-05.
    141. Huw Dixon & Hervé Le Bihan, 2012. "Generalised Taylor and Generalised Calvo Price and Wage Setting: Micro‐evidence with Macro Implications," Economic Journal, Royal Economic Society, vol. 122(560), pages 532-554, May.
    142. Frank Hahn, 1978. "On Non-Walrasian Equilibria," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 1-17.
    143. Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
    144. Joshua D. Angrist & Sydnee Caldwell & Jonathan V. Hall, 2021. "Uber versus Taxi: A Driver's Eye View," American Economic Journal: Applied Economics, American Economic Association, vol. 13(3), pages 272-308, July.
    145. Hansen, Lars Peter & Singleton, Kenneth J, 1983. "Stochastic Consumption, Risk Aversion, and the Temporal Behavior of Asset Returns," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 249-265, April.
    146. Tyler Muir, 2017. "Financial Crises and Risk Premia," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(2), pages 765-809.
    147. David Aikman & Jonathan Bridges & Anil Kashyap & Caspar Siegert, 2019. "Would Macroprudential Regulation Have Prevented the Last Crisis?," Journal of Economic Perspectives, American Economic Association, vol. 33(1), pages 107-130, Winter.
    148. Jean Boivin & Marc P. Giannoni & Ilian Mihov, 2009. "Sticky Prices and Monetary Policy: Evidence from Disaggregated US Data," American Economic Review, American Economic Association, vol. 99(1), pages 350-384, March.
    149. Charles Whalen & Felix Reichling, 2017. "Estimates of the Frisch Elasticity of Labor Supply: A Review," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 43(1), pages 37-42, January.
    150. Le, Vo Phuong Mai & Meenagh, David & Minford, Patrick & Wickens, Michael, 2011. "How much nominal rigidity is there in the US economy? Testing a new Keynesian DSGE model using indirect inference," Journal of Economic Dynamics and Control, Elsevier, vol. 35(12), pages 2078-2104.
    151. Lawrence H. Summers, 2015. "Demand Side Secular Stagnation," American Economic Review, American Economic Association, vol. 105(5), pages 60-65, May.
    152. Pierdzioch, Christian & Rülke, Jan-Christoph & Stadtmann, Georg, 2012. "Who believes in the Taylor principle? Evidence from the Livingston survey," Economics Letters, Elsevier, vol. 117(1), pages 96-98.
    153. Bajzik, Josef & Havranek, Tomas & Irsova, Zuzana & Schwarz, Jiri, 2020. "Estimating the Armington elasticity: The importance of study design and publication bias," Journal of International Economics, Elsevier, vol. 127(C).
    154. Chad Syverson, 2019. "Macroeconomics and Market Power: Context, Implications, and Open Questions," Journal of Economic Perspectives, American Economic Association, vol. 33(3), pages 23-43, Summer.
    155. Greg Kaplan & Giovanni L. Violante & Justin Weidner, 2014. "The Wealthy Hand-to-Mouth," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 48(1 (Spring), pages 77-153.
    156. Dixon, Huw & Kara, Engin, 2011. "Contract length heterogeneity and the persistence of monetary shocks in a dynamic generalized Taylor economy," European Economic Review, Elsevier, vol. 55(2), pages 280-292, February.
    157. Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-459, June.
    158. Philip Bunn & Colin Ellis, 2012. "How do Individual UK Producer Prices Behave?," Economic Journal, Royal Economic Society, vol. 122(558), pages 16-34, February.
    159. Michelle Alexopoulos, 2011. "Read All about It!! What Happens Following a Technology Shock?," American Economic Review, American Economic Association, vol. 101(4), pages 1144-1179, June.
    160. Michael Woodford, 2001. "The Taylor Rule and Optimal Monetary Policy," American Economic Review, American Economic Association, vol. 91(2), pages 232-237, May.
    161. Mishkin, Frederic S., 2001. "From monetary targeting to inflation targeting : lessons from the industrialized countries," Policy Research Working Paper Series 2684, The World Bank.
    162. Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
    163. Rotemberg, Julio J & Woodford, Michael, 1996. "Real-Business-Cycle Models and the Forecastable Movements in Output, Hours, and Consumption," American Economic Review, American Economic Association, vol. 86(1), pages 71-89, March.
    164. Li, Huiyu & Stachurski, John, 2014. "Solving the income fluctuation problem with unbounded rewards," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 353-365.
    165. Cecchetti, Stephen G., 1986. "The frequency of price adjustment : A study of the newsstand prices of magazines," Journal of Econometrics, Elsevier, vol. 31(3), pages 255-274, April.
    166. Piet Clement, 2010. "The term “macroprudential”: origins and evolution," BIS Quarterly Review, Bank for International Settlements, March.
    167. Sargent, Thomas J & Wallace, Neil, 1975. ""Rational" Expectations, the Optimal Monetary Instrument, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 241-254, April.
    168. Stefano DellaVigna & Matthew Gentzkow, 2019. "Uniform Pricing in U.S. Retail Chains," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 134(4), pages 2011-2084.
    169. Barro, Robert J., 1976. "Rational expectations and the role of monetary policy," Journal of Monetary Economics, Elsevier, vol. 2(1), pages 1-32, January.
    170. Emi Nakamura & Jón Steinsson, 2008. "Five Facts about Prices: A Reevaluation of Menu Cost Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(4), pages 1415-1464.
    171. Diego Aparicio & Alberto Cavallo, 2021. "Targeted Price Controls on Supermarket Products," The Review of Economics and Statistics, MIT Press, vol. 103(1), pages 60-71, March.
    172. Samuel G. Hanson & Anil K. Kashyap & Jeremy C. Stein, 2011. "A Macroprudential Approach to Financial Regulation," Journal of Economic Perspectives, American Economic Association, vol. 25(1), pages 3-28, Winter.
    173. Hopenhayn, Hugo A & Prescott, Edward C, 1992. "Stochastic Monotonicity and Stationary Distributions for Dynamic Economies," Econometrica, Econometric Society, vol. 60(6), pages 1387-1406, November.
    174. Alberto Cavallo & Roberto Rigobon, 2016. "The Billion Prices Project: Using Online Prices for Measurement and Research," Journal of Economic Perspectives, American Economic Association, vol. 30(2), pages 151-178, Spring.
    175. Dario Tortarolo & Guillermo Cruces & Victoria Castillo, 2020. "It takes two to tango: Labour responses to an income tax holiday in Argentina," Discussion Papers 2020-07, Nottingham Interdisciplinary Centre for Economic and Political Research (NICEP).
    176. Susanto Basu, 2019. "Are Price-Cost Markups Rising in the United States? A Discussion of the Evidence," NBER Working Papers 26057, National Bureau of Economic Research, Inc.
    177. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    178. Robert J. Hodrick, 2020. "An Exploration of Trend-Cycle Decomposition Methodologies in Simulated Data," NBER Working Papers 26750, National Bureau of Economic Research, Inc.
    179. Guido Ascari & Paolo Bonomolo & Hedibert F. Lopes, 2019. "Walk on the Wild Side: Temporarily Unstable Paths and Multiplicative Sunspots," American Economic Review, American Economic Association, vol. 109(5), pages 1805-1842, May.
    180. Christopher J. Nekarda & Valerie A. Ramey, 2020. "The Cyclical Behavior of the Price‐Cost Markup," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 52(S2), pages 319-353, December.
    181. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    182. Jappelli, Tullio & Pistaferri, Luigi, 2017. "The Economics of Consumption: Theory and Evidence," OUP Catalogue, Oxford University Press, number 9780199383153.
    183. Ascari, Guido & Magnusson, Leandro M. & Mavroeidis, Sophocles, 2021. "Empirical evidence on the Euler equation for consumption in the US," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 129-152.
    184. Kenneth N. Kuttner, 2018. "Outside the Box: Unconventional Monetary Policy in the Great Recession and Beyond," Journal of Economic Perspectives, American Economic Association, vol. 32(4), pages 121-146, Fall.
    185. Edmund S. Phelps, 1968. "Money-Wage Dynamics and Labor-Market Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 76(4), pages 678-678.
    186. Johannes Brumm & Dominika Kryczka & Felix Kubler, 2017. "Recursive Equilibria in Dynamic Economies With Stochastic Production," Econometrica, Econometric Society, vol. 85, pages 1467-1499, September.
    187. Olivier Blanchard & Giovanni Dell'Ariccia & Paolo Mauro, 2010. "Rethinking Macroeconomic Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(s1), pages 199-215, September.
    188. Tack Yun, 2005. "Optimal Monetary Policy with Relative Price Distortions," American Economic Review, American Economic Association, vol. 95(1), pages 89-109, March.
    189. Martin Eichenbaum & Nir Jaimovich & Sergio Rebelo, 2011. "Reference Prices, Costs, and Nominal Rigidities," American Economic Review, American Economic Association, vol. 101(1), pages 234-262, February.
    190. Bayoumi,Tamim & Eichengreen,Barry & Taylor,Mark P. (ed.), 1997. "Modern Perspectives on the Gold Standard," Cambridge Books, Cambridge University Press, number 9780521571692.
    191. Giovanni Dell'Ariccia & Pau Rabanal & Damiano Sandri, 2018. "Unconventional Monetary Policies in the Euro Area, Japan, and the United Kingdom," Journal of Economic Perspectives, American Economic Association, vol. 32(4), pages 147-172, Fall.
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