IDEAS home Printed from https://ideas.repec.org/a/spr/empeco/v52y2017i2d10.1007_s00181-016-1092-6.html
   My bibliography  Save this article

Estimating production functions for the US states: the role of public and human capital

Author

Listed:
  • Nikos Benos

    (University of Ioannina)

  • Nikolaos Mylonidis

    (University of Ioannina)

  • Stefania Zotou

    (University of Ioannina)

Abstract

This paper estimates production functions for the 48 contiguous U.S. states over the 1970–2000 period employing recently developed panel estimators that tackle simultaneously parameter heterogeneity, cross-sectional dependence and non-stationarity. The findings suggest that labor, private capital and, when controlling for cross-sectional dependence, average schooling years exert a positive and significant effect on state income. In contrast, the income effect of public capital stock is negative. The state-specific coefficients indicate that this effect likely stems from the negative elasticity of income with respect to public capital in the states located primarily in the Snow Belt region.

Suggested Citation

  • Nikos Benos & Nikolaos Mylonidis & Stefania Zotou, 2017. "Estimating production functions for the US states: the role of public and human capital," Empirical Economics, Springer, vol. 52(2), pages 691-721, March.
  • Handle: RePEc:spr:empeco:v:52:y:2017:i:2:d:10.1007_s00181-016-1092-6
    DOI: 10.1007/s00181-016-1092-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00181-016-1092-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00181-016-1092-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Cem Ertur & W. Koch, 2006. "Convergence, Human Capital and International Spillovers," Post-Print halshs-00250303, HAL.
    2. Durlauf, Steven N. & Kourtellos, Andros & Minkin, Artur, 2001. "The local Solow growth model," European Economic Review, Elsevier, vol. 45(4-6), pages 928-940, May.
    3. M. Hashem Pesaran, 2006. "Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure," Econometrica, Econometric Society, vol. 74(4), pages 967-1012, July.
    4. Rivera, Berta & Currais, Luis, 2004. "Public Health Capital and Productivity in the Spanish Regions: A Dynamic Panel Data Model," World Development, Elsevier, vol. 32(5), pages 871-885, May.
    5. Holtz-Eakin, Douglas, 1994. "Public-Sector Capital and the Productivity Puzzle," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 12-21, February.
    6. Di Liberto, Adriana, 2008. "Education and Italian regional development," Economics of Education Review, Elsevier, vol. 27(1), pages 94-107, February.
    7. Fleisher, Belton & Li, Haizheng & Zhao, Min Qiang, 2010. "Human capital, economic growth, and regional inequality in China," Journal of Development Economics, Elsevier, vol. 92(2), pages 215-231, July.
    8. Cem Ertur & Wilfried Koch, 2007. "Growth, technological interdependence and spatial externalities: theory and evidence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(6), pages 1033-1062.
    9. Markus Eberhardt & Francis Teal, 2011. "Econometrics For Grumblers: A New Look At The Literature On Cross‐Country Growth Empirics," Journal of Economic Surveys, Wiley Blackwell, vol. 25(1), pages 109-155, February.
    10. Rubina Vohra, 1997. "An empirical investigation of forces influencing productivity and the rate of convergence among states," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 25(4), pages 412-419, December.
    11. Kapetanios, G. & Pesaran, M. Hashem & Yamagata, T., 2011. "Panels with non-stationary multifactor error structures," Journal of Econometrics, Elsevier, vol. 160(2), pages 326-348, February.
    12. Oscar Bajo-Rubio & Carmen Diaz-Roldan, 2005. "Optimal endowments of public capital: An empirical analysis for the Spanish regions," Regional Studies, Taylor & Francis Journals, vol. 39(3), pages 297-304.
    13. Holtz-Eakin, Douglas, 1993. "Solow and States: Capital Accumulation, Productivity, and Economic Growth," National Tax Journal, National Tax Association;National Tax Journal, vol. 46(4), pages 425-439, December.
    14. Robert J. Barro, 1991. "Economic Growth in a Cross Section of Countries," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 407-443.
    15. David Audretsch & Max Keilbach, 2004. "Entrepreneurship Capital and Economic Performance," Regional Studies, Taylor & Francis Journals, vol. 38(8), pages 949-959.
    16. Aschauer, David Alan, 1989. "Is public expenditure productive?," Journal of Monetary Economics, Elsevier, vol. 23(2), pages 177-200, March.
    17. Glomm, Gerhard & Ravikumar, B., 1997. "Productive government expenditures and long-run growth," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 183-204, January.
    18. Hsiao, Cheng & Pesaran, M. Hashem & Pick, Andreas, 2007. "Diagnostic Tests of Cross Section Independence for Nonlinear Panel Data Models," IZA Discussion Papers 2756, Institute of Labor Economics (IZA).
    19. John A. Tatom, 1991. "Public capital and private sector performance," Review, Federal Reserve Bank of St. Louis, issue May, pages 3-15.
    20. Engelbrecht, Hans-Jurgen, 1997. "International R&D spillovers, human capital and productivity in OECD economies: An empirical investigation," European Economic Review, Elsevier, vol. 41(8), pages 1479-1488, August.
    21. Garcia-Mila, Teresa & McGuire, Therese J., 1992. "The contribution of publicly provided inputs to states' economies," Regional Science and Urban Economics, Elsevier, vol. 22(2), pages 229-241, June.
    22. Coakley, Jerry & Fuertes, Ana-Maria & Smith, Ron, 2006. "Unobserved heterogeneity in panel time series models," Computational Statistics & Data Analysis, Elsevier, vol. 50(9), pages 2361-2380, May.
    23. Steven Yamarik, 2013. "State-Level Capital And Investment: Updates And Implications," Contemporary Economic Policy, Western Economic Association International, vol. 31(1), pages 62-72, January.
    24. Raul Ramos & Jordi Suriñach & Manuel Artís, 2010. "Human capital spillovers, productivity and regional convergence in Spain," Papers in Regional Science, Wiley Blackwell, vol. 89(2), pages 435-447, June.
    25. Alicia H. Munnell, 1990. "Why has productivity growth declined? Productivity and public investment," New England Economic Review, Federal Reserve Bank of Boston, issue Jan, pages 3-22.
    26. Lynde, Catherine & Richmond, J, 1993. "Public Capital and Total Factor Productivity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(2), pages 401-414, May.
    27. M. Hashem Pesaran, 2007. "A simple panel unit root test in the presence of cross-section dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 265-312.
    28. Winters, John V., 2014. "The Production and Stock of College Graduates for U.S. States," IZA Discussion Papers 8730, Institute of Labor Economics (IZA).
    29. Pesaran, M. Hashem & Smith, Ron, 1995. "Estimating long-run relationships from dynamic heterogeneous panels," Journal of Econometrics, Elsevier, vol. 68(1), pages 79-113, July.
    30. Joakim Westerlund, 2007. "Testing for Error Correction in Panel Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 69(6), pages 709-748, December.
    31. Ward Romp & Jakob De Haan, 2007. "Public Capital and Economic Growth: A Critical Survey," Perspektiven der Wirtschaftspolitik, Verein für Socialpolitik, vol. 8(S1), pages 6-52, April.
    32. M. Hashem Pesaran & Badi H. Baltagi, 2007. "Heterogeneity and cross section dependence in panel data models: theory and applications introduction," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 229-232.
    33. Fisher, Walter H & Turnovsky, Stephen J, 1998. "Public Investment, Congestion, and Private Capital Accumulation," Economic Journal, Royal Economic Society, vol. 108(447), pages 399-413, March.
    34. R. Pace & James LeSage, 2009. "A sampling approach to estimate the log determinant used in spatial likelihood problems," Journal of Geographical Systems, Springer, vol. 11(3), pages 209-225, September.
    35. Daron Acemoglu & Joshua Angrist, 2001. "How Large Are Human Capital Externalities? Evidence from Compulsory Schooling Laws," NBER Chapters, in: NBER Macroeconomics Annual 2000, Volume 15, pages 9-74, National Bureau of Economic Research, Inc.
    36. Holtz-Eakin, Douglas, 1993. "Solow and States: Capital Accumulation, Productivity, and Economic Growth," National Tax Journal, National Tax Association, vol. 46(4), pages 425-39, December.
    37. Damiaan Persyn & Joakim Westerlund, 2008. "Error-correction–based cointegration tests for panel data," Stata Journal, StataCorp LP, vol. 8(2), pages 232-241, June.
    38. N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 407-437.
    39. Steven Yamarik, 2011. "Human capital and state-level economic growth: what is the contribution of schooling?," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 47(1), pages 195-211, August.
    40. Costantini, Mauro & Destefanis, Sergio, 2009. "Cointegration analysis for cross-sectionally dependent panels: The case of regional production functions," Economic Modelling, Elsevier, vol. 26(2), pages 320-327, March.
    41. John G. Fernald, 1999. "Roads to Prosperity? Assessing the Link between Public Capital and Productivity," American Economic Review, American Economic Association, vol. 89(3), pages 619-638, June.
    42. M. Hashem Pesaran, 2021. "General diagnostic tests for cross-sectional dependence in panels," Empirical Economics, Springer, vol. 60(1), pages 13-50, January.
    43. Chad Turner & Robert Tamura & Sean Mulholland & Scott Baier, 2007. "Education and income of the states of the United States: 1840–2000," Journal of Economic Growth, Springer, vol. 12(2), pages 101-158, June.
    44. Nijkamp, Peter, 1986. "Infrastructure and Regional Development: A Multidimensional Policy Analysis," Empirical Economics, Springer, vol. 11(1), pages 1-21.
    45. Mark W. Frank, 2009. "Inequality And Growth In The United States: Evidence From A New State‐Level Panel Of Income Inequality Measures," Economic Inquiry, Western Economic Association International, vol. 47(1), pages 55-68, January.
    46. Charlie Karlsson & Martin Andersson & Therese Norman (ed.), 2015. "Handbook of Research Methods and Applications in Economic Geography," Books, Edward Elgar Publishing, number 14395.
    47. Douglas Gollin, 2002. "Getting Income Shares Right," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 458-474, April.
    48. Mercedes Gumbau Albert & Joaquín Maudos Villarroya & Pedro Cantos, 2002. "Transport Infrastructures And Regional Growth: Evidence Of The Spanish Case," Working Papers. Serie EC 2002-27, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    49. Garcia-Mila, Teresa & McGuire, Therese J & Porter, Robert H, 1996. "The Effect of Public Capital in State-Level Production Functions Reconsidered," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 177-180, February.
    50. Evans, Paul & Karras, Georgios, 1994. "Are Government Activities Productive? Evidence from a Panel of U.S. States," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 1-11, February.
    51. Pedro Cantos & Mercedes Gumbau‐Albert & Joaquín Maudos, 2003. "Transport infrastructures, spillover effects and regional growth: evidence of the Spanish case," Transport Reviews, Taylor & Francis Journals, vol. 25(1), pages 25-50, December.
    52. John K. Mullen & Martin Williams, 2005. "Foreign Direct Investment and Regional Economic Performance," Kyklos, Wiley Blackwell, vol. 58(2), pages 265-282, May.
    53. Leah M. Cook & Alicia H. Munnell, 1990. "How does public infrastructure affect regional economic performance?," New England Economic Review, Federal Reserve Bank of Boston, issue Sep, pages 11-33.
    54. Eric A. Hanushek & Ludger Woessmann, 2008. "The Role of Cognitive Skills in Economic Development," Journal of Economic Literature, American Economic Association, vol. 46(3), pages 607-668, September.
    55. David Alan Aschauer, 1997. "Dynamic Output and Employment Effects of Public Capital," Economics Working Paper Archive wp_191, Levy Economics Institute.
    56. Chatterjee, Santanu & Sakoulis, Georgios & Turnovsky, Stephen J., 2003. "Unilateral capital transfers, public investment, and economic growth," European Economic Review, Elsevier, vol. 47(6), pages 1077-1103, December.
    57. Holtz-Eakin, Douglas & Lovely, Mary E., 1996. "Scale economies, returns to variety, and the productivity of public infrastructure," Regional Science and Urban Economics, Elsevier, vol. 26(2), pages 105-123, April.
    58. Jan-Egbert Sturm & Gerard H. Kuper & Jakob Haan, 1998. "Modelling Government Investment and Economic Growth on a Macro Level: A Review," Palgrave Macmillan Books, in: Steven Brakman & Hans Ees & Simon K. Kuipers (ed.), Market Behaviour and Macroeconomic Modelling, chapter 14, pages 359-406, Palgrave Macmillan.
    59. Benhabib, Jess & Spiegel, Mark M., 1994. "The role of human capital in economic development evidence from aggregate cross-country data," Journal of Monetary Economics, Elsevier, vol. 34(2), pages 143-173, October.
    60. Jonathan Temple, 1999. "The New Growth Evidence," Journal of Economic Literature, American Economic Association, vol. 37(1), pages 112-156, March.
    61. Chris Papageorgiou, 2003. "Distinguishing Between the Effects of Primary and Post‐primary Education on Economic Growth," Review of Development Economics, Wiley Blackwell, vol. 7(4), pages 622-635, November.
    62. Norihiko Yamano & Toru Ohkawara, 2000. "The Regional Allocation of Public Investment: Efficiency or Equity?," Journal of Regional Science, Wiley Blackwell, vol. 40(2), pages 205-229, May.
    63. Peter J. Klenow & Mark Bils, 2000. "Does Schooling Cause Growth?," American Economic Review, American Economic Association, vol. 90(5), pages 1160-1183, December.
    64. Sarantis Kalyvitis & Eugenia Vella, 2015. "Productivity Effects Of Public Capital Maintenance: Evidence From U.S. States," Economic Inquiry, Western Economic Association International, vol. 53(1), pages 72-90, January.
    65. Somik V. Lall & Serdar Yilmaz, 2001. "Regional economic convergence: Do policy instruments make a difference?," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 35(1), pages 153-166.
    66. Hsiao, Cheng & Pesaran, M. Hashem & Pick, Andreas, 2007. "Diagnostic Tests of Cross Section Independence for Nonlinear Panel Data Models," IZA Discussion Papers 2756, Institute of Labor Economics (IZA).
    67. G. Duggal, Vijaya & Saltzman, Cynthia & Klein, Lawrence R., 1999. "Infrastructure and productivity: a nonlinear approach," Journal of Econometrics, Elsevier, vol. 92(1), pages 47-74, September.
    68. Xiaobo Zhang & Kevin Zhang, 2003. "How Does Globalisation Affect Regional Inequality within A Developing Country? Evidence from China," Journal of Development Studies, Taylor & Francis Journals, vol. 39(4), pages 47-67.
    69. Robert J. Barro, 2001. "Human Capital and Growth," American Economic Review, American Economic Association, vol. 91(2), pages 12-17, May.
    70. Baltagi, Badi H & Pinnoi, Nat, 1995. "Public Capital Stock and State Productivity Growth: Further Evidence from an Error Components Model," Empirical Economics, Springer, vol. 20(2), pages 351-359.
    71. Jerik Hanushek & Dennis Kimko, 2006. "Schooling, Labor-force Quality, and the Growth of Nations," Voprosy obrazovaniya / Educational Studies Moscow, National Research University Higher School of Economics, issue 1, pages 154-193.
    72. David Alan Aschauer, 1997. "Output and Employment Effects of Public Capital," Economics Working Paper Archive wp_190, Levy Economics Institute.
    73. Shioji, Etsuro, 2001. "Public Capital and Economic Growth: A Convergence Approach," Journal of Economic Growth, Springer, vol. 6(3), pages 205-227, September.
    74. Mark D. Partridge, 2005. "Does Income Distribution Affect U.S. State Economic Growth?," Journal of Regional Science, Wiley Blackwell, vol. 45(2), pages 363-394, May.
    75. David Alan Aschauer, 1997. "Output and Employment Effects of Public Policy," Macroeconomics 9711002, University Library of Munich, Germany.
    76. Gundlach, Erich, 1997. "Regional convergence of output per worker in China: A neoclassical interpretation," Open Access Publications from Kiel Institute for the World Economy 1765, Kiel Institute for the World Economy (IfW Kiel).
    77. Gasper A. Garofalo & Steven Yamarik, 2002. "Regional Convergence: Evidence From A New State-By-State Capital Stock Series," The Review of Economics and Statistics, MIT Press, vol. 84(2), pages 316-323, May.
    78. Valter Di Giacinto & Giorgio Nuzzo, 2006. "Explaining labour productivity differentials across Italian regions: the role of socio‐economic structure and factor endowments," Papers in Regional Science, Wiley Blackwell, vol. 85(2), pages 299-320, June.
    79. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    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. Roman Matousek & Nickolaos G. Tzeremes, 2021. "The asymmetric impact of human capital on economic growth," Empirical Economics, Springer, vol. 60(3), pages 1309-1334, March.
    2. Makram El‐Shagi & Steven Yamarik, 2019. "State‐level capital and investment: Refinements and update," Growth and Change, Wiley Blackwell, vol. 50(4), pages 1411-1422, December.

    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. repec:elg:eechap:14395_21 is not listed on IDEAS
    2. Valter Di Giacinto & Giacinto Micucci & Pasqualino Montanaro, 2012. "The Macroeconomic Impact of Infrastructures: A Literature Review and Empirical Analysis on the Case of Italy," QA - Rivista dell'Associazione Rossi-Doria, Associazione Rossi Doria, issue 1, March.
    3. Nikos Benos & Stelios Karagiannis, 2018. "Inequality And Growth In The United States: Why Physical And Human Capital Matter," Economic Inquiry, Western Economic Association International, vol. 56(1), pages 572-619, January.
    4. Markus Eberhardt & Francis Teal, 2008. "Modeling Technology and Technological Change in Manufacturing: How do Countries Differ?," CSAE Working Paper Series 2008-12, Centre for the Study of African Economies, University of Oxford.
    5. Markus Eberhardt & Francis Teal, 2011. "Econometrics For Grumblers: A New Look At The Literature On Cross‐Country Growth Empirics," Journal of Economic Surveys, Wiley Blackwell, vol. 25(1), pages 109-155, February.
    6. Barabas, György & Kitlinski, Tobias & Schmidt, Christoph M. & Schmidt, Torsten & Siemers, Lars-H. & Brilon, Werner, 2010. "Verkehrsinfrastrukturinvestitionen: Wachstumsaspekte im Rahmen einer gestaltenden Finanzpolitik. Endbericht - Januar 2010. Forschungsprojekt im Auftrag des Bundesministeriums der Finanzen. Projektnumm," RWI Projektberichte, RWI - Leibniz-Institut für Wirtschaftsforschung, number 72601.
    7. Francis Teal & Markus Eberhardt, 2010. "Productivity Analysis in Global Manufacturing Production," Economics Series Working Papers 515, University of Oxford, Department of Economics.
    8. Raffaello Bronzini & Paolo Piselli, 2006. "Determinants of long-run regional productivity: the role of R&D, human capital and public infrastructure," Temi di discussione (Economic working papers) 597, Bank of Italy, Economic Research and International Relations Area.
    9. Benos, Nikos & Karagiannis, Stelios, 2013. "Do Cross-Section Dependence and Parameter Heterogeneity Matter? Evidence on Human Capital and Productivity in Greece," MPRA Paper 53326, University Library of Munich, Germany.
    10. Pedro R. D. Bom & Jenny Ligthart, 2008. "How Productive is Public Capital? A Meta-Analysis," CESifo Working Paper Series 2206, CESifo.
    11. Pellervo Hamalainen, 2009. "Review of literature on the productivity of public capital," Discussion Papers 55, Aboa Centre for Economics.
    12. Markus Eberhardt & Francis Teal, 2020. "The Magnitude of the Task Ahead: Macro Implications of Heterogeneous Technology," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 66(2), pages 334-360, June.
    13. Pedro R.D. Bom & Jenny E. Ligthart, 2009. "How Productive is Public Capital? A Meta-Regression Analysis," International Center for Public Policy Working Paper Series, at AYSPS, GSU paper0912, International Center for Public Policy, Andrew Young School of Policy Studies, Georgia State University.
    14. Holmgren, Johan & Merkel, Axel, 2017. "Much ado about nothing? – A meta-analysis of the relationship between infrastructure and economic growth," Research in Transportation Economics, Elsevier, vol. 63(C), pages 13-26.
    15. Alfredo M. Pereira & Jorge M. Andraz, 2013. "On The Economic Effects Of Public Infrastructure Investment: A Survey Of The International Evidence," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 38(4), pages 1-37, December.
    16. Trofimov, Ivan D., 2020. "Public capital and productive economy profits: evidence from OECD economies," MPRA Paper 106848, University Library of Munich, Germany.
    17. Markus Eberhardt & Francis Teal, 2011. "Econometrics For Grumblers: A New Look At The Literature On Cross‐Country Growth Empirics," Journal of Economic Surveys, Wiley Blackwell, vol. 25(1), pages 109-155, 02.

    More about this item

    Keywords

    Production function; Cross-sectional dependence; Panel analysis; Public capital; Human capital;
    All these keywords.

    JEL classification:

    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • H54 - Public Economics - - National Government Expenditures and Related Policies - - - Infrastructures
    • I25 - Health, Education, and Welfare - - Education - - - Education and Economic Development

    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:spr:empeco:v:52:y:2017:i:2:d:10.1007_s00181-016-1092-6. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.