IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_5173.html
   My bibliography  Save this paper

On the Perils of Stabilizing Prices when Agents are Learning

Author

Listed:
  • Antonio Mele
  • Krisztina Molnár
  • Sergio Santoro

Abstract

We show that price level stabilization is not optimal in an economy where agents have incomplete knowledge about the policy implemented and try to learn it. A systematically more accommodative policy than what agents expect generates short term gains without triggering an abrupt loss of confidence, since agents update expectations sluggishly. In the long run agents learn the policy implemented, and the economy converges to a rational ex- pectations equilibrium in which policy does not stabilize prices, economic volatility is high, and agents suffer the corresponding welfare losses. However, these losses are outweighed by short term gains from the learning phase.

Suggested Citation

  • Antonio Mele & Krisztina Molnár & Sergio Santoro, 2015. "On the Perils of Stabilizing Prices when Agents are Learning," CESifo Working Paper Series 5173, CESifo.
  • Handle: RePEc:ces:ceswps:_5173
    as

    Download full text from publisher

    File URL: https://www.cesifo.org/DocDL/cesifo1_wp5173.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Smets, Frank & Vestin, David & Gaspar, Ví­tor, 2007. "Is time ripe for price level path stability?," Working Paper Series 818, European Central Bank.
    2. Slobodyan, Sergey & Wouters, Raf, 2012. "Learning in an estimated medium-scale DSGE model," Journal of Economic Dynamics and Control, Elsevier, vol. 36(1), pages 26-46.
    3. Molnár, Krisztina & Santoro, Sergio, 2014. "Optimal monetary policy when agents are learning," European Economic Review, Elsevier, vol. 66(C), pages 39-62.
    4. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
    5. Krisztina Molnár & Sergio Santoro, 2006. "Optimal Monetary Policy When Agents Are Learning," CERS-IE WORKING PAPERS 0601, Institute of Economics, Centre for Economic and Regional Studies, revised 15 Mar 2006.
    6. Michael Woodford, 2010. "Robustly Optimal Monetary Policy with Near-Rational Expectations," American Economic Review, American Economic Association, vol. 100(1), pages 274-303, March.
    7. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
    8. Del Negro, Marco & Eusepi, Stefano, 2011. "Fitting observed inflation expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 35(12), pages 2105-2131.
    9. Arturo Ormeño & Krisztina Molnár, 2015. "Using Survey Data of Inflation Expectations in the Estimation of Learning and Rational Expectations Models," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 47(4), pages 673-699, June.
    10. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    11. Ben S. Bernanke & Julio J. Rotemberg (ed.), 1997. "NBER Macroeconomics Annual 1997," MIT Press Books, The MIT Press, edition 1, volume 1, number 026252242x, April.
    12. William A. Branch, 2004. "The Theory of Rationally Heterogeneous Expectations: Evidence from Survey Data on Inflation Expectations," Economic Journal, Royal Economic Society, vol. 114(497), pages 592-621, July.
    13. Steve Ambler, 2009. "Price‐Level Targeting And Stabilisation Policy: A Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 23(5), pages 974-997, December.
    14. Albert Marcet & Juan P. Nicolini, 2003. "Recurrent Hyperinflations and Learning," American Economic Review, American Economic Association, vol. 93(5), pages 1476-1498, December.
    15. Preston, Bruce, 2006. "Adaptive learning, forecast-based instrument rules and monetary policy," Journal of Monetary Economics, Elsevier, vol. 53(3), pages 507-535, April.
    16. Vitor Gaspar & Frank Smets & David Vestin, 2006. "Optimal Monetary Policy under Adaptive Learning," Computing in Economics and Finance 2006 183, Society for Computational Economics.
    17. John C. Williams, 2010. "Monetary policy in a low inflation economy with learning," Economic Review, Federal Reserve Bank of San Francisco, pages 1-12.
    18. Borgers, Tilman & Sarin, Rajiv, 1997. "Learning Through Reinforcement and Replicator Dynamics," Journal of Economic Theory, Elsevier, vol. 77(1), pages 1-14, November.
    19. Kurozumi, Takushi, 2008. "Optimal sustainable monetary policy," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1277-1289, October.
    20. Fabio Milani, 2006. "A Bayesian DSGE Model with Infinite-Horizon Learning: Do "Mechanical" Sources of Persistence Become Superfluous?," International Journal of Central Banking, International Journal of Central Banking, vol. 2(3), September.
    21. George W. Evans & Seppo Honkapohja & Noah Williams, 2010. "Generalized Stochastic Gradient Learning," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(1), pages 237-262, February.
    22. Michael Woodford, 1999. "Optimal Monetary Policy Inertia," Manchester School, University of Manchester, vol. 67(s1), pages 1-35.
    23. Adam, Klaus & Marcet, Albert, 2011. "Internal rationality, imperfect market knowledge and asset prices," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1224-1252, May.
    24. Bruce Preston, 2005. "Learning about Monetary Policy Rules when Long-Horizon Expectations Matter," International Journal of Central Banking, International Journal of Central Banking, vol. 1(2), September.
    25. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
    26. Kosuke Aoki & Kalin Nikolov, 2006. "Rule-Based Monetary Policy under Central Bank Learning," NBER Chapters, in: NBER International Seminar on Macroeconomics 2004, pages 145-195, National Bureau of Economic Research, Inc.
    27. Gauti B. Eggertsson & Michael Woodford, 2003. "The Zero Bound on Interest Rates and Optimal Monetary Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(1), pages 139-235.
    28. Marimon, Ramon & Sunder, Shyam, 1993. "Indeterminacy of Equilibria in a Hyperinflationary World: Experimental Evidence," Econometrica, Econometric Society, vol. 61(5), pages 1073-1107, September.
    29. Dräger, Lena & Lamla, Michael J. & Pfajfar, Damjan, 2016. "Are survey expectations theory-consistent? The role of central bank communication and news," European Economic Review, Elsevier, vol. 85(C), pages 84-111.
    30. Charles L. Evans, 2008. "Comments to the U.S. Monetary Policy Forum," Speech 16, Federal Reserve Bank of Chicago.
    31. Ricardo Reis, 2013. "Central Bank Design," Journal of Economic Perspectives, American Economic Association, vol. 27(4), pages 17-44, Fall.
    32. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    33. Eusepi, Stefano & Giannoni, Marc P. & Preston, Bruce, 2018. "Some implications of learning for price stability," European Economic Review, Elsevier, vol. 106(C), pages 1-20.
    34. George W. Evans & Seppo Honkapohja, 2003. "Expectations and the Stability Problem for Optimal Monetary Policies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(4), pages 807-824.
    35. William A. Brock & Cars H. Hommes, 2001. "A Rational Route to Randomness," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 16, pages 402-438, Edward Elgar Publishing.
    36. 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.
    37. Beggs, A.W., 2005. "On the convergence of reinforcement learning," Journal of Economic Theory, Elsevier, vol. 122(1), pages 1-36, May.
    38. Julio J. Rotemberg & Michael Woodford, 1997. "An Optimization-Based Econometric Framework for the Evaluation of Monetary Policy," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 297-361, National Bureau of Economic Research, Inc.
    39. Gorodnichenko, Yuriy & Shapiro, Matthew D., 2007. "Monetary policy when potential output is uncertain: Understanding the growth gamble of the 1990s," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1132-1162, May.
    40. Branch, William A. & Evans, George W., 2006. "A simple recursive forecasting model," Economics Letters, Elsevier, vol. 91(2), pages 158-166, May.
    41. George W. Evans & Seppo Honkapohja, 2006. "Monetary Policy, Expectations and Commitment," Scandinavian Journal of Economics, Wiley Blackwell, vol. 108(1), pages 15-38, March.
    42. George W. Evans, 2001. "Expectations in Macroeconomics. Adaptive versus Eductive Learning," Revue Économique, Programme National Persée, vol. 52(3), pages 573-582.
    43. Pedro Dal Bo & Guillaume R. Frochette, 2011. "The Evolution of Cooperation in Infinitely Repeated Games: Experimental Evidence," American Economic Review, American Economic Association, vol. 101(1), pages 411-429, February.
    44. Carvalho, Carlos & Nechio, Fernanda, 2014. "Do people understand monetary policy?," Journal of Monetary Economics, Elsevier, vol. 66(C), pages 108-123.
    45. William Branch & Bruce McGough, 2011. "Business cycle amplification with heterogeneous expectations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(2), pages 395-421, June.
    46. Wolman, Alexander L, 2005. "Real Implications of the Zero Bound on Nominal Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(2), pages 273-296, April.
    47. Stefano Eusepi & Bruce Preston, 2018. "The Science of Monetary Policy: An Imperfect Knowledge Perspective," Journal of Economic Literature, American Economic Association, vol. 56(1), pages 3-59, March.
    48. Yun, Tack, 1996. "Nominal price rigidity, money supply endogeneity, and business cycles," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 345-370, April.
    49. Milani, Fabio, 2007. "Expectations, learning and macroeconomic persistence," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 2065-2082, October.
    50. Klaus Adam, 2003. "Learning and Equilibrium Selection in a Monetary Overlapping Generations Model with Sticky Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(4), pages 887-907.
    51. Anna Jaśkiewicz & Andrzej Nowak, 2011. "Stochastic Games with Unbounded Payoffs: Applications to Robust Control in Economics," Dynamic Games and Applications, Springer, vol. 1(2), pages 253-279, June.
    52. Kenneth Rogoff, 1985. "The Optimal Degree of Commitment to an Intermediate Monetary Target," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(4), pages 1169-1189.
    53. James B. Bullard, 2008. "Three issues in learning and monetary policy," Speech 165, Federal Reserve Bank of St. Louis.
    54. Coibion, Olivier & Gorodnichenko, Yuriy & Kumar, Saten & Pedemonte, Mathieu, 2020. "Inflation expectations as a policy tool?," Journal of International Economics, Elsevier, vol. 124(C).
    55. James Bullard & George W. Evans & Seppo Honkapohja, 2008. "Monetary Policy, Judgment, and Near-Rational Exuberance," American Economic Review, American Economic Association, vol. 98(3), pages 1163-1177, June.
    56. Vitor Gaspar & Frank Smets & David Vestin, 2006. "Adaptive Learning, Persistence, and Optimal Monetary Policy," Journal of the European Economic Association, MIT Press, vol. 4(2-3), pages 376-385, 04-05.
    57. Honkapohja, Seppo & Mitra, Kaushik & Evans, George W., 2011. "Notes on Agents’ Behavioral Rules Under Adaptive Learning and Studies of Monetary Policy," SIRE Discussion Papers 2011-04, Scottish Institute for Research in Economics (SIRE).
    58. Preston, Bruce, 2008. "Adaptive learning and the use of forecasts in monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3661-3681, November.
    59. Ben S. Bernanke & Julio J. Rotemberg, 1997. "Editorial in "NBER Macroeconomics Annual 1997, Volume 12"," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 1-6, National Bureau of Economic Research, Inc.
    60. Stefano Eusepi & Bruce Preston, 2010. "Central Bank Communication and Expectations Stabilization," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(3), pages 235-271, July.
    61. Evans, George W. & Honkapohja, S., 1998. "Stochastic gradient learning in the cobweb model," Economics Letters, Elsevier, vol. 61(3), pages 333-337, December.
    62. Evans, George W. & Honkapohja, Seppo, 1998. "Convergence of learning algorithms without a projection facility," Journal of Mathematical Economics, Elsevier, vol. 30(1), pages 59-86, August.
    63. Krisztina Molnár, 2007. "Learning with Expert Advice," Journal of the European Economic Association, MIT Press, vol. 5(2-3), pages 420-432, 04-05.
    64. Michael Hatcher & Patrick Minford, 2016. "Stabilisation Policy, Rational Expectations And Price-Level Versus Inflation Targeting: A Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 30(2), pages 327-355, April.
    65. Meh, Césaire A. & Ríos-Rull, José-Víctor & Terajima, Yaz, 2010. "Aggregate and welfare effects of redistribution of wealth under inflation and price-level targeting," Journal of Monetary Economics, Elsevier, vol. 57(6), pages 637-652, September.
    66. repec:bla:manchs:v:67:y:1999:i:0:p:1-35 is not listed on IDEAS
    67. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, April.
    68. Ben S. Bernanke & Julio J. Rotemberg, 1997. "NBER Macroeconomics Annual 1997, Volume 12," NBER Books, National Bureau of Economic Research, Inc, number bern97-1.
    69. Steve Ambler, 2009. "Price-Level Targeting and Stabilization Policy: A Review," Bank of Canada Review, Bank of Canada, vol. 2009(Spring), pages 21-31.
    70. Charles L. Evans, 2008. "Monetary Policy in Times of Financial Stress," Speech 17, Federal Reserve Bank of Chicago.
    71. James B. Bullard, 2008. "St. Louis Fed's approach to monetary policy won't change," The Regional Economist, Federal Reserve Bank of St. Louis, issue Jul, pages 1-3.
    72. Timothy Cogley & Thomas J. Sargent, 2008. "Anticipated Utility And Rational Expectations As Approximations Of Bayesian Decision Making," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(1), pages 185-221, February.
    73. Barucci, Emilio & Landi, Leonardo, 1997. "Least mean squares learning in self-referential linear stochastic models," Economics Letters, Elsevier, vol. 57(3), pages 313-317, December.
    74. Seppo Honkapohja & Kaushik Mitra & George W. Evans, 2011. "Notes on Agents¡¯ Behavioral Rules Under Adaptive Learning and Studies of Monetary Policy," CDMA Working Paper Series 201102, Centre for Dynamic Macroeconomic Analysis.
    75. Vestin, David, 2006. "Price-level versus inflation targeting," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1361-1376, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Grimaud, Alex, 2021. "Precautionary saving and un-anchored expectations," MPRA Paper 110651, University Library of Munich, Germany.
    2. Eo, Yunjong & McClung, Nigel, 2021. "Determinacy and E-stability with interest rate rules at the zero lower bound," Research Discussion Papers 14/2021, Bank of Finland.
    3. Caines, Colin & Winkler, Fabian, 2021. "Asset price beliefs and optimal monetary policy," Journal of Monetary Economics, Elsevier, vol. 123(C), pages 53-67.
    4. Eusepi, Stefano & Giannoni, Marc P. & Preston, Bruce, 2018. "Some implications of learning for price stability," European Economic Review, Elsevier, vol. 106(C), pages 1-20.
    5. Marine Charlotte André & Meixing Dai, 2018. "The limits to robust monetary policy in a small open economy with learning agents," Working Papers of BETA 2018-45, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    6. Ioana Manuela Mîndrican, 2023. "Monetary policy measures and strategies in the context of the adoption of the euro currency," Journal of Financial Studies, Institute of Financial Studies, vol. 14(8), pages 84-97, May.
    7. Eo, Yunjong & McClung, Nigel, 2021. "Determinacy and E-stability with interest rate rules at the zero lower bound," Bank of Finland Research Discussion Papers 14/2021, Bank of Finland.
    8. Bodenstein, Martin & Hebden, James & Winkler, Fabian, 2022. "Learning and misperception of makeup strategies," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).
    9. Martin Bodenstein & James Hebden & Fabian Winkler, 2019. "Learning and Misperception: Implications for Price-Level Targeting," Finance and Economics Discussion Series 2019-078, Board of Governors of the Federal Reserve System (U.S.).
    10. Dobrew, Michael & Gerke, Rafael & Giesen, Sebastian & Röttger, Joost, 2023. "Make-up strategies with incomplete markets and bounded rationality," Discussion Papers 01/2023, Deutsche Bundesbank.
    11. repec:fst:rfsisf:v:8:y:2023:i:14:p:84-97 is not listed on IDEAS
    12. repec:zbw:bofrdp:2021_014 is not listed on IDEAS

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. George W. Evans & Seppo Honkapohja, 2009. "Expectations, Learning and Monetary Policy: An Overview of Recent Research," Central Banking, Analysis, and Economic Policies Book Series, in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.),Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 2, pages 027-076, Central Bank of Chile.
    2. George W. Evans & Seppo Honkapohja, 2009. "Expectations, Learning and Monetary Policy: An Overview of Recent Research," Central Banking, Analysis, and Economic Policies Book Series, in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.),Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 2, pages 027-076, Central Bank of Chile.
    3. Gáti, Laura, 2023. "Monetary policy & anchored expectations—An endogenous gain learning model," Journal of Monetary Economics, Elsevier, vol. 140(S), pages 37-47.
    4. Molnár, Krisztina & Santoro, Sergio, 2014. "Optimal monetary policy when agents are learning," European Economic Review, Elsevier, vol. 66(C), pages 39-62.
    5. repec:zbw:bofrdp:2007_032 is not listed on IDEAS
    6. Marine Charlotte André & Meixing Dai, 2018. "The limits to robust monetary policy in a small open economy with learning agents," Working Papers of BETA 2018-45, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    7. Goy, Gavin & Hommes, Cars & Mavromatis, Kostas, 2022. "Forward guidance and the role of central bank credibility under heterogeneous beliefs," Journal of Economic Behavior & Organization, Elsevier, vol. 200(C), pages 1240-1274.
    8. André Marine Charlotte & Dai Meixing, 2018. "Learning, robust monetary policy and the merit of precaution," The B.E. Journal of Macroeconomics, De Gruyter, vol. 18(2), pages 1-20, June.
    9. Kuang, Pei & Mitra, Kaushik, 2016. "Long-run growth uncertainty," Journal of Monetary Economics, Elsevier, vol. 79(C), pages 67-80.
    10. Muto, Ichiro, 2013. "Productivity growth, transparency, and monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 37(1), pages 329-344.
    11. Cars Hommes & Kostas Mavromatis & Tolga Özden & Mei Zhu, 2023. "Behavioral learning equilibria in New Keynesian models," Quantitative Economics, Econometric Society, vol. 14(4), pages 1401-1445, November.
    12. Cole, Stephen J., 2020. "The influence of learning and price-level targeting on central bank forward guidance," Journal of Macroeconomics, Elsevier, vol. 65(C).
    13. Hagenhoff, Tim, 2018. "An aggregate welfare optimizing interest rate rule under heterogeneous expectations," BERG Working Paper Series 139, Bamberg University, Bamberg Economic Research Group.
    14. Evans, George & Honkapohja, Seppo, 2011. "Learning as a rational foundation for macroeconomics and finance," Bank of Finland Research Discussion Papers 8/2011, Bank of Finland.
    15. Tetlow, Robert J. & von zur Muehlen, Peter, 2009. "Robustifying learnability," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 296-316, February.
    16. Milani, Fabio, 2007. "Expectations, learning and macroeconomic persistence," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 2065-2082, October.
    17. Stephen J. Cole, 2021. "Learning and the Effectiveness of Central Bank Forward Guidance," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 53(1), pages 157-200, February.
    18. Debes, Sebastian & Gareis, Johannes & Mayer, Eric & Rüth, Sebastian, 2014. "Towards a consumer sentiment channel of monetary policy," W.E.P. - Würzburg Economic Papers 91, University of Würzburg, Department of Economics.
    19. Stephen J. Cole, 2020. "The Limits of Central Bank forward Guidance under Learning," International Journal of Central Banking, International Journal of Central Banking, vol. 16(4), pages 199-250, September.
    20. Elton Beqiraj & Giovanni Di Bartolomeo & Marco Di Pietro & Carolina Serpieri, 2020. "Bounded rationality and heterogeneous expectations: Euler versus anticipated-utility approach," Journal of Economics, Springer, vol. 130(3), pages 249-273, August.
    21. Loisel, Olivier, 2008. "Central bank reputation in a forward-looking model," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3718-3742, November.

    More about this item

    Keywords

    optimal monetary policy; learning; price level targeting;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ces:ceswps:_5173. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Klaus Wohlrabe (email available below). General contact details of provider: https://edirc.repec.org/data/cesifde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.