(Translated by https://www.hiragana.jp/)
What Is Wrong with Taylor Rules? Using Judgment in Monetary Policy through Targeting Rules
IDEAS home Printed from https://ideas.repec.org/p/pri/cepsud/84.html
   My bibliography  Save this paper

What Is Wrong with Taylor Rules? Using Judgment in Monetary Policy through Targeting Rules

Author

Listed:
  • Lars E.O. Svensson

    (Princeton University, CEPR and NBER)

Abstract

Most recent research on monetary-policy rules is restricted to considering a commitment to simple instrument rules, where the central-bank instrument is a simple function of available information about the economy, like the Taylor rule. However, a commitment to a simple instrument rule appears inadequate as a description of current goal-directed and forward-looking monetary policy, especially inflation targeting. The latter can to a large extent instead be seen as inflation-forecast targeting, setting the instrument so that the corresponding conditional inflation forecast is consistent with the inflation target. It is argued, both from a descriptive and a prescriptive perspective, that inflation targeting is better understood as a commitment to a targeting rule, either a general targeting rule in the form of clear objectives for monetary policy or a specific targeting rule in the form of a condition for (the forecasts of) the target variables, essentially the equality of the marginal rates of transformation and the marginal rates of substitution between the target variables. Targeting rules allow the use of judgment and extra-model information, are more robust and easier to verify than optimal instrument rules, and they can nevertheless bring the economy close to the socially optimal equilibrium. These ideas are illustrated with the help of simple examples. Some recent defense of commitment to simple instrument rules and criticism of forwardlooking monetary policy and targeting rules by McCallum, Nelson and Woodford are also addressed. In the concluding section, robust and optimal rules for monetary policy are suggested.

Suggested Citation

  • Lars E.O. Svensson, 2002. "What Is Wrong with Taylor Rules? Using Judgment in Monetary Policy through Targeting Rules," Working Papers 118, Princeton University, Department of Economics, Center for Economic Policy Studies..
  • Handle: RePEc:pri:cepsud:84
    as

    Download full text from publisher

    File URL: https://gceps.princeton.edu/wp-content/uploads/2017/01/84svensson.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Svensson, Lars E. O., 1997. "Inflation forecast targeting: Implementing and monitoring inflation targets," European Economic Review, Elsevier, vol. 41(6), pages 1111-1146, June.
    2. Andrew Levin & Volker Wieland & John C. Williams, 2003. "The Performance of Forecast-Based Monetary Policy Rules Under Model Uncertainty," American Economic Review, American Economic Association, vol. 93(3), pages 622-645, June.
    3. Svensson, Lars E O, 1997. "Optimal Inflation Targets, "Conservative" Central Banks, and Linear Inflation Contracts," American Economic Review, American Economic Association, vol. 87(1), pages 98-114, March.
    4. Glenn D. Rudebusch, 2002. "Assessing Nominal Income Rules for Monetary Policy with Model and Data Uncertainty," Economic Journal, Royal Economic Society, vol. 112(479), pages 402-432, April.
    5. Mervyn A. King, 1999. "Challenges for monetary policy : new and old," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 11-57.
    6. Henderson, Dale W. & McKibbin, Warwick J., 1993. "A comparison of some basic monetary policy regimes for open economies: implications of different degrees of instrument adjustment and wage persistence," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 221-317, December.
    7. Svensson, Lars E. O., 1999. "Inflation targeting as a monetary policy rule," Journal of Monetary Economics, Elsevier, vol. 43(3), pages 607-654, June.
    8. Currie,David & Levine,Paul, 2009. "Rules, Reputation and Macroeconomic Policy Coordination," Cambridge Books, Cambridge University Press, number 9780521104609.
    9. John P. Judd & Glenn D. Rudebusch, 1998. "Taylor's rule and the Fed, 1970-1997," Economic Review, Federal Reserve Bank of San Francisco, pages 3-16.
    10. Robert L. Hetzel, 2000. "The Taylor rule : is it a useful guide to understanding monetary policy?," Economic Quarterly, Federal Reserve Bank of Richmond, issue Spr, pages 1-33.
    11. 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.
    12. 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.
    13. Albert Marcet & Ramon Marimon, 2019. "Recursive Contracts," Econometrica, Econometric Society, vol. 87(5), pages 1589-1631, September.
    14. James W. Christian, 1968. "A Further Analysis Of The Objectives Of American Monetary Policy," Journal of Finance, American Finance Association, vol. 23(3), pages 465-477, June.
    15. Andrew T.. Levin & Volker Wieland & John Williams, 1999. "Robustness of Simple Monetary Policy Rules under Model Uncertainty," NBER Chapters, in: Monetary Policy Rules, pages 263-318, National Bureau of Economic Research, Inc.
    16. Bennett T. McCallum & Edward Nelson, 2004. "Timeless perspective vs. discretionary monetary policy in forward-looking models," Review, Federal Reserve Bank of St. Louis, vol. 86(Mar), pages 43-56.
    17. Mankiw, N Gregory, 2001. "The Inexorable and Mysterious Tradeoff between Inflation and Unemployment," Economic Journal, Royal Economic Society, vol. 111(471), pages 45-61, May.
    18. Taylor, John B, 1979. "Estimation and Control of a Macroeconomic Model with Rational Expectations," Econometrica, Econometric Society, vol. 47(5), pages 1267-1286, September.
    19. Christopher A. Sims, 2001. "A Review of Monetary Policy Rules," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 562-566, June.
    20. Michael Woodford, 1999. "Optimal Monetary Policy Inertia," Manchester School, University of Manchester, vol. 67(s1), pages 1-35.
    21. Laurence Ball, 1999. "Efficient Rules for Monetary Policy," International Finance, Wiley Blackwell, vol. 2(1), pages 63-83, April.
    22. Stephen G. Cecchetti, 1997. "Central Bank Policy Rules: Conceptual Issues and Practical Considerations," NBER Working Papers 6306, National Bureau of Economic Research, Inc.
    23. Ball, Laurence, 1994. "Credible Disinflation with Staggered Price-Setting," American Economic Review, American Economic Association, vol. 84(1), pages 282-289, March.
    24. Svensson, Lars E. O., 2000. "Open-economy inflation targeting," Journal of International Economics, Elsevier, vol. 50(1), pages 155-183, February.
    25. Nicoletta Batini & Andrew Haldane, 1999. "Forward-Looking Rules for Monetary Policy," NBER Chapters, in: Monetary Policy Rules, pages 157-202, National Bureau of Economic Research, Inc.
    26. John B. Taylor, 1999. "A Historical Analysis of Monetary Policy Rules," NBER Chapters, in: Monetary Policy Rules, pages 319-348, National Bureau of Economic Research, Inc.
    27. Peter Isard & Douglas Laxton & Ann-Charlotte Eliasson, 1999. "Simple Monetary Policy Rules Under Model Uncertainty," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 6(4), pages 537-577, November.
    28. Mervyn King, 1994. "Monetary policy in the UK," Fiscal Studies, Institute for Fiscal Studies, vol. 15(3), pages 109-128, August.
    29. Lars E. O. Svensson, 2002. "Monetary policy and real stabilization," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 261-312.
    30. Jean Tirole, 1999. "Incomplete Contracts: Where Do We Stand?," Econometrica, Econometric Society, vol. 67(4), pages 741-782, July.
    31. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    32. McCallum, Bennett T., 1999. "Issues in the design of monetary policy rules," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 23, pages 1483-1530, Elsevier.
    33. Glenn Rudebusch & Lars E.O. Svensson, 1999. "Policy Rules for Inflation Targeting," NBER Chapters, in: Monetary Policy Rules, pages 203-262, National Bureau of Economic Research, Inc.
    34. Taylor, John B., 1999. "The robustness and efficiency of monetary policy rules as guidelines for interest rate setting by the European central bank," Journal of Monetary Economics, Elsevier, vol. 43(3), pages 655-679, June.
    35. Michael Woodford, 1999. "Commentary : how should monetary policy be conducted in an era of price stability?," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 277-316.
    36. Donald Coletti & Benjamin Hunt & David Rose & Robert Tetlow, 1996. "The Bank of Canada's New Quarterly Projection Model. Part 3 , the Dynamic Model : QPM," Technical Reports 75, Bank of Canada.
    37. McCallum, Bennett T., 1997. "Crucial issues concerning central bank independence," Journal of Monetary Economics, Elsevier, vol. 39(1), pages 99-112, June.
    38. Lars E. O. Svensson, 1999. "How should monetary policy be conducted in an era of price stability?," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 195-259.
    39. Cecchetti, Stephen G, 2000. "Making Monetary Policy: Objectives and Rules," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 16(4), pages 43-59, Winter.
    40. 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.
    41. 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.
    42. Stephanie Schmitt-Grohe & Jess Benhabib & Martin Uribe, 2001. "Monetary Policy and Multiple Equilibria," American Economic Review, American Economic Association, vol. 91(1), pages 167-186, March.
    43. Charles T. Carlstrom & Timothy S. Fuerst, 2000. "Forward-looking versus backward-looking Taylor rules," Working Papers (Old Series) 0009, Federal Reserve Bank of Cleveland.
    44. Onatski, Alexei & Stock, James H., 2002. "Robust Monetary Policy Under Model Uncertainty In A Small Model Of The U.S. Economy," Macroeconomic Dynamics, Cambridge University Press, vol. 6(1), pages 85-110, February.
    45. Lawrence J. Christiano & Christopher J. Gust, 1999. "Taylor rules in a limited participation model," Working Paper Series WP-99-3, Federal Reserve Bank of Chicago.
    46. Bennett T. McCallum, 2000. "The Present and Future of Monetary Policy Rules," International Finance, Wiley Blackwell, vol. 3(2), pages 273-286, July.
    47. Michael Woodford, 2000. "Pitfalls of Forward-Looking Monetary Policy," American Economic Review, American Economic Association, vol. 90(2), pages 100-104, May.
    48. Smets, Frank, 2000. "What horizon for price stability," Working Paper Series 24, European Central Bank.
    49. Rudebusch, Glenn D., 2002. "Term structure evidence on interest rate smoothing and monetary policy inertia," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1161-1187, September.
    50. Meltzer, Allan H, 1987. "Limits of Short-run Stabilization Policy: Presidential Address to the Western Economic Association, July 3, 1986," Economic Inquiry, Western Economic Association International, vol. 25(1), pages 1-14, January.
    51. Clarida, Richard & Gali, Jordi & Gertler, Mark, 1998. "Monetary policy rules in practice Some international evidence," European Economic Review, Elsevier, vol. 42(6), pages 1033-1067, June.
    52. Leitemo, Kai, 2003. "Targeting Inflation by Constant-Interest-Rate Forecasts," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(4), pages 609-626, August.
    53. Marc P. Giannoni & Michael Woodford, 2003. "Optimal Interest-Rate Rules: II. Applications," Levine's Bibliography 506439000000000394, UCLA Department of Economics.
    54. Persson, Torsten & Tabellini, Guido, 1993. "Designing institutions for monetary stability," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 53-84, December.
    55. Ben S. Bernanke & Frederic S. Mishkin, 1997. "Inflation Targeting: A New Framework for Monetary Policy?," Journal of Economic Perspectives, American Economic Association, vol. 11(2), pages 97-116, Spring.
    56. Marc P. Giannoni, 2010. "Optimal Interest-Rate Rules in a Forward-Looking Model, and Inflation Stabilization versus Price-Level Stabilization," NBER Working Papers 15986, National Bureau of Economic Research, Inc.
    57. repec:pri:cepsud:83svensson is not listed on IDEAS
    58. 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.
    59. Dr Don Brash, 2001. "Making monetary policy: a look behind the curtains," Reserve Bank of New Zealand Bulletin, Reserve Bank of New Zealand, vol. 64, March.
    60. 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.
    61. Barro, Robert J & Gordon, David B, 1983. "A Positive Theory of Monetary Policy in a Natural Rate Model," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 589-610, August.
    62. R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(3), pages 165-180.
    63. Sharon Kozicki, 1999. "How useful are Taylor rules for monetary policy?," Economic Review, Federal Reserve Bank of Kansas City, vol. 84(Q II), pages 5-33.
    64. Currie,David & Levine,Paul, 1993. "Rules, Reputation and Macroeconomic Policy Coordination," Cambridge Books, Cambridge University Press, number 9780521441964.
    65. Sack, Brian & Wieland, Volker, 2000. "Interest-rate smoothing and optimal monetary policy: a review of recent empirical evidence," Journal of Economics and Business, Elsevier, vol. 52(1-2), pages 205-228.
    66. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
    67. Hart, Oliver, 1995. "Firms, Contracts, and Financial Structure," OUP Catalogue, Oxford University Press, number 9780198288817.
    68. Michael Woodford, 2001. "The Taylor Rule and Optimal Monetary Policy," American Economic Review, American Economic Association, vol. 91(2), pages 232-237, May.
    69. repec:bla:manchs:v:67:y:1999:i:0:p:1-35 is not listed on IDEAS
    70. Jansson, Per & Vredin, Anders, 2001. "Forecast-based Monetary Policy in Sweden 1992-1998: A View from Within," Working Paper Series 120, Sveriges Riksbank (Central Bank of Sweden).
    71. Marc P. Giannoni & Michael Woodford, 2003. "Optimal Interest-Rate Rules: I. General Theory," Levine's Bibliography 506439000000000384, UCLA Department of Economics.
    72. Reifschneider, David L. & Stockton, David J. & Wilcox, David W., 1997. "Econometric models and the monetary policy process," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 47(1), pages 1-37, December.
    73. Soderlind, Paul, 1999. "Solution and estimation of RE macromodels with optimal policy," European Economic Review, Elsevier, vol. 43(4-6), pages 813-823, April.
    74. Mccallum, Bennet T., 1988. "Robustness properties of a rule for monetary policy," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 29(1), pages 173-203, January.
    75. Frederic S. Mishkin & Adam S. Posen, 1997. "Inflation targeting: lessons from four countries," Economic Policy Review, Federal Reserve Bank of New York, vol. 3(Aug), pages 9-110.
    76. Vestin, David, 2000. "Price-level Targeting versus Inflation Targeting in a Forward-looking Model," Working Paper Series 106, Sveriges Riksbank (Central Bank of Sweden).
    77. Richard H. Clarida & Jordi Gali & Mark Gertler, 1998. "Monetary policy rules in practice," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
    78. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1.
    79. Lars E. O. Svensson, 2002. "Monetary policy and real stabilization," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 261-312.
    80. Gert Peersman & Frank Smets, 1999. "Uncertainty and the Taylor rule in a simple model of the Euro-area economy," Proceedings, Federal Reserve Bank of San Francisco.
    81. Lucas, Robert Jr, 1976. "Econometric policy evaluation: A critique," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 1(1), pages 19-46, January.
    82. Walsh, Carl E, 1995. "Optimal Contracts for Central Bankers," American Economic Review, American Economic Association, vol. 85(1), pages 150-167, March.
    83. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    84. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
    Full references (including those not matched with items 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. Lars E. O. Svensson, 2003. "What Is Wrong with Taylor Rules? Using Judgment in Monetary Policy through Targeting Rules," Journal of Economic Literature, American Economic Association, vol. 41(2), pages 426-477, June.
    2. repec:pri:cepsud:84svensson is not listed on IDEAS
    3. Lars E. O. Svensson & Michael Woodford, 2004. "Implementing Optimal Policy through Inflation-Forecast Targeting," NBER Chapters, in: The Inflation-Targeting Debate, National Bureau of Economic Research, Inc.
    4. Svensson, Lars E. O., 1999. "Inflation targeting as a monetary policy rule," Journal of Monetary Economics, Elsevier, vol. 43(3), pages 607-654, June.
    5. Dennis, Richard & Soderstrom, Ulf, 2006. "How Important Is Precommitment for Monetary Policy?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(4), pages 847-872, June.
    6. Michael Paetz, 2007. "Robust Control and Persistence in the New Keynesian Economy," Quantitative Macroeconomics Working Papers 20711, Hamburg University, Department of Economics.
    7. Henrik Jensen, 2002. "Targeting Nominal Income Growth or Inflation?," American Economic Review, American Economic Association, vol. 92(4), pages 928-956, September.
    8. 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.
    9. Nessen, Marianne & Vestin, David, 2005. "Average Inflation Targeting," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(5), pages 837-863, October.
    10. Wasim Shahid Malik & Ather Maqsood Ahmed, 2010. "Taylor Rule and the Macroeconomic Performance in Pakistan," The Pakistan Development Review, Pakistan Institute of Development Economics, vol. 49(1), pages 37-56.
    11. Robert Tchaidze & Alina Carare, 2004. "The Use and Abuse of Taylor Rules: How precisely can we estimate them?," Econometric Society 2004 Latin American Meetings 132, Econometric Society.
    12. Orphanides, Athanasios, 2004. "Monetary Policy Rules, Macroeconomic Stability, and Inflation: A View from the Trenches," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(2), pages 151-175, April.
    13. Ulf Söderström, 2005. "Targeting Inflation with a Role for Money," Economica, London School of Economics and Political Science, vol. 72(288), pages 577-596, November.
    14. Andrew Levin & Volker Wieland & John C. Williams, 2003. "The Performance of Forecast-Based Monetary Policy Rules Under Model Uncertainty," American Economic Review, American Economic Association, vol. 93(3), pages 622-645, June.
    15. Lansing, Kevin J. & Trehan, Bharat, 2003. "Forward-looking behavior and optimal discretionary monetary policy," Economics Letters, Elsevier, vol. 81(2), pages 249-256, November.
    16. Anton Muscatelli & Carmine Trecroci, 2000. "Monetary Policy Rules, Policy Preferences, and Uncertainty: Recent Empirical Evidence," Journal of Economic Surveys, Wiley Blackwell, vol. 14(5), pages 597-627, December.
    17. Ralf Fendel, 2004. "Perspektiven und Grenzen der Verwendung geldpolitischer Regeln," Perspektiven der Wirtschaftspolitik, Verein für Socialpolitik, vol. 5(2), pages 169-192, May.
    18. Efrem Castelnuovo, 2002. "Squeezing the Interest Rate Smoothing Weight with a Hybrid Expectations Model," Macroeconomics 0211006, University Library of Munich, Germany.
    19. Steinsson, Jon, 2003. "Optimal monetary policy in an economy with inflation persistence," Journal of Monetary Economics, Elsevier, vol. 50(7), pages 1425-1456, October.
    20. Coenen, Gunter & Wieland, Volker, 2005. "A small estimated euro area model with rational expectations and nominal rigidities," European Economic Review, Elsevier, vol. 49(5), pages 1081-1104, July.
    21. Wieland, Volker & Wolters, Maik, 2013. "Forecasting and Policy Making," Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 2, chapter 0, pages 239-325, Elsevier.

    More about this item

    Keywords

    Inflation targeting; forecast targeting;

    JEL classification:

    • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Sytsems; Standards; Regimes; Government and the Monetary System
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

    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:pri:cepsud:84. 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: Bobray Bordelon (email available below). General contact details of provider: https://edirc.repec.org/data/ceprius.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.