IDEAS home Printed from https://ideas.repec.org/a/oup/cesifo/v52y2006i4p587-620.html
   My bibliography  Save this article

Public Insurance against Idiosyncratic and Aggregate Risk: The Case of Social Security and Progressive Income Taxation

Author

Listed:
  • Dirk Krueger

Abstract

In this article, I discuss the role a progressive income tax system and a redistributive pay as you go (PAYGO) social security system can play in insuring and reallocating idiosyncratic as well as aggregate risk. I also argue that the underlying source of market failures generating such a role for government intervention may be crucial when determining the normative consequences of such social insurance. (JEL Classifications: E62, H21, H24, H55). Copyright 2006, Oxford University Press.

Suggested Citation

  • Dirk Krueger, 2006. "Public Insurance against Idiosyncratic and Aggregate Risk: The Case of Social Security and Progressive Income Taxation," CESifo Economic Studies, CESifo Group, vol. 52(4), pages 587-620, December.
    • Handle: RePEc:oup:cesifo:v:52:y:2006:i:4:p:587-620
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1093/cesifo/ifl015
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Erosa, Andres & Gervais, Martin, 2002. "Optimal Taxation in Life-Cycle Economies," Journal of Economic Theory, Elsevier, vol. 105(2), pages 338-369, August.
    2. Kjetil Storesletten & Chris Telmer & Amir Yaron, 2007. "Asset Pricing with Idiosyncratic Risk and Overlapping Generations," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(4), pages 519-548, October.
    3. Julio Dávila & Jay H. Hong & Per Krusell & José‐Víctor Ríos‐Rull, 2012. "Constrained Efficiency in the Neoclassical Growth Model With Uninsurable Idiosyncratic Shocks," Econometrica, Econometric Society, vol. 80(6), pages 2431-2467, November.
    4. Chari, V.V. & Kehoe, Patrick J., 1999. "Optimal fiscal and monetary policy," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 26, pages 1671-1745, Elsevier.
    5. Andrew B. Abel & N. Gregory Mankiw & Lawrence H. Summers & Richard J. Zeckhauser, 1989. "Assessing Dynamic Efficiency: Theory and Evidence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(1), pages 1-19.
    6. Hans Fehr & Christian Habermann, 2008. "Risk Sharing and Efficiency Implications of Progressive Pension Arrangements," Scandinavian Journal of Economics, Wiley Blackwell, vol. 110(2), pages 419-443, June.
    7. Gabrielle Demange, 2002. "On optimality in intergenerational risk sharing," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(1), pages 1-27.
    8. David Altig, 2001. "Simulating Fundamental Tax Reform in the United States," American Economic Review, American Economic Association, vol. 91(3), pages 574-595, June.
    9. Krueger, Dirk & Uhlig, Harald, 2006. "Competitive risk sharing contracts with one-sided commitment," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1661-1691, October.
    10. Kehoe, Timothy J & Levine, David K, 2001. "Liquidity Constrained Markets versus Debt Constrained Markets," Econometrica, Econometric Society, vol. 69(3), pages 575-598, May.
    11. Shiller, Robert J., 1999. "Social security and institutions for intergenerational, intragenerational, and international risk-sharing," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 50(1), pages 165-204, June.
    12. Homburg, Stefan, 1990. "The Efficiency of Unfunded Pension Schemes," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 146, pages 640-647.
    13. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
    14. Juan Carlos Conesa & carlos Carriga, 2004. "Optimal Design of Social Security Reforms," UFAE and IAE Working Papers 642.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    15. Brian D. Wright & Kenneth M. Kletzer, 2000. "Sovereign Debt as Intertemporal Barter," American Economic Review, American Economic Association, vol. 90(3), pages 621-639, June.
    16. Dirk Krueger & Fabrizio Perri, 2004. "On the Welfare Consequences of the Increase in Inequality in the United States," NBER Chapters, in: NBER Macroeconomics Annual 2003, Volume 18, pages 83-138, National Bureau of Economic Research, Inc.
    17. Jonathan P. Thomas & Tim Worrall, 2007. "Unemployment Insurance under Moral Hazard and Limited Commitment: Public versus Private Provision," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(1), pages 151-181, February.
    18. Storesletten, Kjetil & Telmer, Christopher I. & Yaron, Amir, 2004. "Consumption and risk sharing over the life cycle," Journal of Monetary Economics, Elsevier, vol. 51(3), pages 609-633, April.
    19. Olovsson, Conny, 2004. "The Welfare Gains of Improving Risk Sharing in Social Security," Seminar Papers 728, Stockholm University, Institute for International Economic Studies.
    20. Krueger, Dirk & Kubler, Felix, 2004. "Computing equilibrium in OLG models with stochastic production," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1411-1436, April.
    21. Henning Bohn, 2001. "Social Security and Demographic Uncertainty: The Risk-Sharing Properties of Alternative Policies," NBER Chapters, in: Risk Aspects of Investment-Based Social Security Reform, pages 203-246, National Bureau of Economic Research, Inc.
    22. Narayana R Kocherlakota, 2005. "Advances in Dynamic Optimal Taxation," Levine's Bibliography 784828000000000518, UCLA Department of Economics.
    23. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    24. Aiyagari, S Rao, 1995. "Optimal Capital Income Taxation with Incomplete Markets, Borrowing Constraints, and Constant Discounting," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1158-1175, December.
    25. Judd, Kenneth L., 1985. "Redistributive taxation in a simple perfect foresight model," Journal of Public Economics, Elsevier, vol. 28(1), pages 59-83, October.
    26. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    27. Stefania Albanesi & Christopher Sleet, 2006. "Dynamic Optimal Taxation with Private Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 1-30.
    28. Mikhail Golosov & Narayana Kocherlakota & Aleh Tsyvinski, 2003. "Optimal Indirect and Capital Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(3), pages 569-587.
    29. Conesa, Juan Carlos & Krueger, Dirk, 2006. "On the optimal progressivity of the income tax code," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1425-1450, October.
    30. R. Glenn Hubbard & Kenneth L. Judd, 1986. "Liquidity Constraints, Fiscal Policy, and Consumption," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 17(1), pages 1-60.
    31. Roland Benabou, 2002. "Tax and Education Policy in a Heterogeneous-Agent Economy: What Levels of Redistribution Maximize Growth and Efficiency?," Econometrica, Econometric Society, vol. 70(2), pages 481-517, March.
    32. Andrew Atkeson & V. V. Chari & Patrick J. Kehoe, 1999. "Taxing capital income: a bad idea," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 23(Sum), pages 3-17.
    33. Carlos Garriga, 2019. "Optimal Fiscal Policy in Overlapping Generations Models," Public Finance Review, , vol. 47(1), pages 3-31, January.
    34. Ventura, Gustavo, 1999. "Flat tax reform: A quantitative exploration," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1425-1458, September.
    35. Saez, Emmanuel, 2013. "Optimal progressive capital income taxes in the infinite horizon model," Journal of Public Economics, Elsevier, vol. 97(C), pages 61-74.
    36. Reil-Held, Anette, 2004. "Crowding out or crowding in? Public and private transfers in Germany," Sonderforschungsbereich 504 Publications 04-68, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    37. repec:cdl:ucsbec:03-98 is not listed on IDEAS
    38. Dirk Krueger & Felix Kubler, 2006. "Pareto-Improving Social Security Reform when Financial Markets are Incomplete!?," American Economic Review, American Economic Association, vol. 96(3), pages 737-755, June.
    39. David Andolfatto, 2002. "A Theory of Inalienable Property Rights," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 382-393, April.
    40. Salanié, Bernard, 2011. "The Economics of Taxation," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262016346, April.
    41. Timothy J. Kehoe & David K. Levine, 1993. "Debt-Constrained Asset Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 865-888.
    42. Juan Carlos Conesa & Sagiri Kitao & Dirk Krueger, 2009. "Taxing Capital? Not a Bad Idea after All!," American Economic Review, American Economic Association, vol. 99(1), pages 25-48, March.
    43. Berliant, Marcus & Gouveia, Miguel, 1993. "Equal sacrifice and incentive compatible income taxation," Journal of Public Economics, Elsevier, vol. 51(2), pages 219-240, June.
    44. Susan Dynarski & Jonathan Gruber, 1997. "Can Families Smooth Variable Earnings?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 28(1), pages 229-303.
    45. Dirk Krueger & Fabrizio Perri, 2006. "Does Income Inequality Lead to Consumption Inequality? Evidence and Theory -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 163-193.
    46. Gouveia, Miguel & Strauss, Robert P., 1994. "Effective Federal Individual Tax Functions: An Exploratory Empirical Analysis," National Tax Journal, National Tax Association;National Tax Journal, vol. 47(2), pages 317-339, June.
    47. Fernando Alvarez & Urban J. Jermann, 2000. "Efficiency, Equilibrium, and Asset Pricing with Risk of Default," Econometrica, Econometric Society, vol. 68(4), pages 775-798, July.
    48. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    49. David Domeij & Jonathan Heathcote, 2004. "On The Distributional Effects Of Reducing Capital Taxes," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 523-554, May.
    50. Bohn, Henning, 1998. "Risk Sharing in a Stochastic Overlapping Generations Economy," University of California at Santa Barbara, Economics Working Paper Series qt9r2809f0, Department of Economics, UC Santa Barbara.
    51. David M. Cutler & Jonathan Gruber, 1996. "Does Public Insurance Crowd out Private Insurance?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(2), pages 391-430.
    52. Campbell, John Y., 2003. "Consumption-based asset pricing," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 13, pages 803-887, Elsevier.
    53. Stiglitz, Joseph E, 1981. "Pareto Optimality and Competition," Journal of Finance, American Finance Association, vol. 36(2), pages 235-251, May.
    54. 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.
    55. Gouveia, Miguel & Strauss, Robert P., 1994. "Effective Federal Individual Tax Functions: An Exploratory Empirical Analysis," National Tax Journal, National Tax Association, vol. 47(2), pages 317-39, June.
    56. Dirk Krueger & Felix Kubler, 2002. "Intergenerational Risk-Sharing via Social Security when Financial Markets Are Incomplete," American Economic Review, American Economic Association, vol. 92(2), pages 407-410, May.
    57. Varian, Hal R., 1980. "Redistributive taxation as social insurance," Journal of Public Economics, Elsevier, vol. 14(1), pages 49-68, August.
    58. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
    59. Diamond, P. A., 1977. "A framework for social security analysis," Journal of Public Economics, Elsevier, vol. 8(3), pages 275-298, December.
    60. Juan C. Conesa & Dirk Krueger, 1999. "Social Security Reform with Heterogeneous Agents," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(4), pages 757-795, October.
    61. Attanasio, Orazio & Rios-Rull, Jose-Victor, 2000. "Consumption smoothing in island economies: Can public insurance reduce welfare?," European Economic Review, Elsevier, vol. 44(7), pages 1225-1258, June.
    62. Robert C. Merton, 1983. "On the Role of Social Security as a Means for Efficient Risk Sharing in an Economy Where Human Capital Is Not Tradable," NBER Chapters, in: Financial Aspects of the United States Pension System, pages 325-358, National Bureau of Economic Research, Inc.
    63. Narayana R. Kocherlakota, 1996. "Implications of Efficient Risk Sharing without Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(4), pages 595-609.
    64. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    65. Atkinson, A.B., 1987. "Income maintenance and social insurance," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 2, chapter 13, pages 779-908, Elsevier.
    66. Elizabeth M. Caucutt & Selahattin Imrohoroglu & Krishna B. Kumar, 2003. "Growth and Welfare Analysis of Tax Progressivity in a Heterogeneous-Agent Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(3), pages 546-577, July.
    67. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
    68. Marimon, Ramon & Scott, Andrew (ed.), 1999. "Computational Methods for the Study of Dynamic Economies," OUP Catalogue, Oxford University Press, number 9780198294979.
    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. Mirakhor, Abbas, 2012. "Islamic Finance, Risk Sharing and Macroeconomic Policies," MPRA Paper 56338, University Library of Munich, Germany.
    2. Hans Fehr & Fabian Kindermann, 2010. "Pension Funding and Individual Accounts in Economies with Life-cyclers and Myopes," CESifo Economic Studies, CESifo, vol. 56(3), pages 404-443, September.
    3. Tran, Chung & Woodland, Alan, 2014. "Trade-offs in means tested pension design," Journal of Economic Dynamics and Control, Elsevier, vol. 47(C), pages 72-93.
    4. Fehr, Hans, 2016. "CGE modeling social security reforms," Journal of Policy Modeling, Elsevier, vol. 38(3), pages 475-494.
    5. Andersen, Torben M. & Bhattacharya, Joydeep, 2013. "Unfunded Pensions And Endogenous Labor Supply," Macroeconomic Dynamics, Cambridge University Press, vol. 17(5), pages 971-997, July.
    6. Hans Fehr & Christian Habermann, 2010. "Private retirement savings and mandatory annuitization," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 17(6), pages 640-661, December.
    7. Hans Fehr & Christian Habermann, 2008. "Private Retirement Savings in Germany: The Structure of Tax Incentives and Annuitization," CESifo Working Paper Series 2238, CESifo.
    8. Fehr, Hans & Jokisch, Sabine & Kallweit, Manuel & Kindermann, Fabian & Kotlikoff, Laurence J., 2013. "Generational Policy and Aging in Closed and Open Dynamic General Equilibrium Models," Handbook of Computable General Equilibrium Modeling, in: Peter B. Dixon & Dale Jorgenson (ed.), Handbook of Computable General Equilibrium Modeling, edition 1, volume 1, chapter 0, pages 1719-1800, Elsevier.
    9. Hans Fehr & Fabian Kindermann, 2010. "Pension Funding and Individual Accounts in Economies with Life-cyclers and Myopes," CESifo Economic Studies, CESifo Group, vol. 56(3), pages 404-443, September.
    10. Geri, Milva, 2022. "Pension arrangements and economic thinking: unreal assumptions and false predictions in the case of Argentina," Revista CEPAL, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL), April.

    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. Conesa, Juan Carlos & Krueger, Dirk, 2006. "On the optimal progressivity of the income tax code," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1425-1450, October.
    2. Juan Carlos Conesa & Sagiri Kitao & Dirk Krueger, 2009. "Taxing Capital? Not a Bad Idea after All!," American Economic Review, American Economic Association, vol. 99(1), pages 25-48, March.
    3. Kitao, Sagiri, 2010. "Labor-dependent capital income taxation," Journal of Monetary Economics, Elsevier, vol. 57(8), pages 959-974, November.
    4. Boháček, Radim & Kejak, Michal, 2018. "Optimal government policies in models with heterogeneous agents," Journal of Economic Theory, Elsevier, vol. 176(C), pages 834-858.
    5. Sagiri Kitao, 2010. "Labor-dependent Capital Income Taxation That Encourages Work and Saving," 2010 Meeting Papers 271, Society for Economic Dynamics.
    6. Krueger, Dirk & Perri, Fabrizio, 2011. "Public versus private risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 920-956, May.
    7. Yili Chien & Junsang Lee, 2006. "Why Tax Capital?," 2006 Meeting Papers 492, Society for Economic Dynamics.
    8. Nakajima, Makoto, 2020. "Capital income taxation with housing," Journal of Economic Dynamics and Control, Elsevier, vol. 115(C).
    9. YiLi Chien & JunSang Lee, 2006. "Optimal Capital Taxation under Limited Commitment," 2006 Meeting Papers 430, Society for Economic Dynamics.
    10. Ozan Bakis & Baris Kaymak & Markus Poschke, 2015. "Transitional Dynamics and the Optimal Progressivity of Income Redistribution," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(3), pages 679-693, July.
    11. Sebastian Dyrda & Marcelo Pedroni, 2015. "Optimal Fiscal Policy in a Model with Uninsurable Idiosyncratic Shocks," Working Papers tecipa-550, University of Toronto, Department of Economics.
    12. Panousi, Vasia, 2009. "Capital Taxation with Entrepreneurial Risk," MPRA Paper 24237, University Library of Munich, Germany.
    13. Krueger, Dirk & Ludwig, Alexander & Villalvazo, Sergio, 2021. "Optimal taxes on capital in the OLG model with uninsurable idiosyncratic income risk," Journal of Public Economics, Elsevier, vol. 201(C).
    14. Dirk Krueger & Felix Kubler, 2006. "Pareto-Improving Social Security Reform when Financial Markets are Incomplete!?," American Economic Review, American Economic Association, vol. 96(3), pages 737-755, June.
    15. Marco Cozzi, 2018. "Optimal Capital Taxation with Incomplete Markets and Schumpeterian Growth," Department Discussion Papers 1803, Department of Economics, University of Victoria.
    16. repec:hum:wpaper:sfb649dp2006-066 is not listed on IDEAS
    17. Alexander Ludwig & Dirk Krueger, 2010. "Optimal Progressive Taxation and Education Subsidies in a Model of Endogenous Human Capital Formation," 2010 Meeting Papers 388, Society for Economic Dynamics.
    18. Lans Bovenberg & Harald Uhlig, 2008. "Pension Systems and the Allocation of Macroeconomic Risk," NBER Chapters, in: NBER International Seminar on Macroeconomics 2006, pages 241-344, National Bureau of Economic Research, Inc.
    19. Daniel Harenberg & Alexander Ludwig, 2019. "Idiosyncratic Risk, Aggregate Risk, And The Welfare Effects Of Social Security," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(2), pages 661-692, May.
    20. Sagiri Kitao, 2005. "Income taxation with uninsurable endowment and entrepreneurial investment risks," 2005 Meeting Papers 514, Society for Economic Dynamics.
    21. Sebastian Dyrda & Marcelo Pedroni, 2015. "Optimal Fiscal Policy in a Model with Uninsurable Idiosyncratic Shocks," Working Papers tecipa-549, University of Toronto, Department of Economics.

    More about this item

    JEL classification:

    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H24 - Public Economics - - Taxation, Subsidies, and Revenue - - - Personal Income and Other Nonbusiness Taxes and Subsidies
    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions

    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:oup:cesifo:v:52:y:2006:i:4:p:587-620. 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: Oxford University Press (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.