A Nonsmooth, Nonconvex Model of Optimal Growth
Author
Abstract
Suggested Citation
Download full text from publisher
Other versions of this item:
- Kamihigashi, Takashi & Roy, Santanu, 2007. "A nonsmooth, nonconvex model of optimal growth," Journal of Economic Theory, Elsevier, vol. 132(1), pages 435-460, January.
- Takashi Kamihigashi & Santanu Roy, 2005. "A nonsmooth, nonconvex model of optimal growth," Discussion Paper Series 173, Research Institute for Economics & Business Administration, Kobe University.
- Takashi Kamihigashi & Santanu Roy, 2003. "A Nonsmooth, Nonconvex Model of Optimal Growth," Discussion Paper Series 158, Research Institute for Economics & Business Administration, Kobe University.
References listed on IDEAS
- Romer, Paul M, 1986.
"Increasing Returns and Long-run Growth,"
Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
- Paul M Romer, 1999. "Increasing Returns and Long-Run Growth," Levine's Working Paper Archive 2232, David K. Levine.
- Dutta, Prajit K & Mitra, Tapan, 1989. "On Continuity of the Utility Function in Intertemporal Allocation Models: An Example," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(3), pages 527-536, August.
- W. Davis Dechert & Kazuo Nishimura, 2012.
"A Complete Characterization of Optimal Growth Paths in an Aggregated Model with a Non-Concave Production Function,"
Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 237-257,
Springer.
- Dechert, W. Davis & Nishimura, Kazuo, 1983. "A complete characterization of optimal growth paths in an aggregated model with a non-concave production function," Journal of Economic Theory, Elsevier, vol. 31(2), pages 332-354, December.
- Kamihigashi, Takashi & Roy, Santanu, 2007.
"A nonsmooth, nonconvex model of optimal growth,"
Journal of Economic Theory, Elsevier, vol. 132(1), pages 435-460, January.
- Takashi Kamihigashi & Santanu Roy, 2003. "A Nonsmooth, Nonconvex Model of Optimal Growth," Discussion Paper Series 139, Research Institute for Economics & Business Administration, Kobe University.
- Takashi Kamihigashi & Santanu Roy, 2005. "A nonsmooth, nonconvex model of optimal growth," Discussion Paper Series 173, Research Institute for Economics & Business Administration, Kobe University.
- Takashi Kamihigashi & Santanu Roy, 2003. "A Nonsmooth, Nonconvex Model of Optimal Growth," Discussion Paper Series 158, Research Institute for Economics & Business Administration, Kobe University.
- Jones, Larry E. & Manuelli, Rodolfo E., 1997.
"The sources of growth,"
Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 75-114, January.
- Jones, L.E. & manuelli, R.E., 1994. "The Sources of Growth," Working papers 9428, Wisconsin Madison - Social Systems.
- Larry E. Jones & Rodolfo E. Manuelli, 1994. "The Sources of Growth," GE, Growth, Math methods 9410002, University Library of Munich, Germany, revised 05 Mar 1999.
- Larry E. Jones & Rodolfo E. Manuelli, 1994. "The Sources of Growth," Macroeconomics 9411002, University Library of Munich, Germany, revised 05 Mar 1999.
- Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
- Montrucchio, Luigi, 1995. "A New Turnpike Theorem for Discounted Programs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(3), pages 371-382, May.
- Kamihigashi, Takashi, 2003.
"Necessity of transversality conditions for stochastic problems,"
Journal of Economic Theory, Elsevier, vol. 109(1), pages 140-149, March.
- Takashi Kamihigashi, 2000. "Necessity of Transversality Conditions for Stochastic Problems," Discussion Paper Series 115, Research Institute for Economics & Business Administration, Kobe University.
- Takashi Kamihigashi, 2001. "Necessity of Transversality Conditions for Stochastic Problems," Department of Economics Working Papers 01-02, Stony Brook University, Department of Economics.
- Takashi Kamihigashi, 2002. "Necessity of Transversality Conditions for Stochastic Problems," Discussion Paper Series 128, Research Institute for Economics & Business Administration, Kobe University.
- Kaganovich, Michael, 1998.
"Sustained endogenous growth with decreasing returns and heterogeneous capital,"
Journal of Economic Dynamics and Control, Elsevier, vol. 22(10), pages 1575-1603, August.
- Kaganovich, M., 1997. "Sustained Endogenous Growth with Decreasing Returns and Heterogeneous Capital II," Papers 97-005, Indiana - Center for Econometric Model Research.
- Amir, Rabah & Mirman, Leonard J & Perkins, William R, 1991. "One-Sector Nonclassical Optimal Growth: Optimality Conditions and Comparative Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 625-644, August.
- Olson, Lars J. & Roy, Santanu, 1996.
"On Conservation of Renewable Resources with Stock-Dependent Return and Nonconcave Production,"
Journal of Economic Theory, Elsevier, vol. 70(1), pages 133-157, July.
- Olson, Lars J. & Roy, Santanu, 1994. "On Conservation of Renewable Resources with Stock-Dependent Return and Non-Concave Production," Working Papers 197800, University of Maryland, Department of Agricultural and Resource Economics.
- McKenzie, Lionel W., 2005. "Optimal economic growth, turnpike theorems and comparative dynamics," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 2, volume 3, chapter 26, pages 1281-1355, Elsevier.
- Takashi Kamihigashi, 2000. "The Policy Function of a Discrete-Choice Problem is a Random Number Generator," The Japanese Economic Review, Japanese Economic Association, vol. 51(1), pages 51-71, March.
- Takashi Kamihigashi & Santanu Roy, 2006.
"Dynamic optimization with a nonsmooth, nonconvex technology: the case of a linear objective function,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 325-340, October.
- Takashi Kamihigashi & Santanu Roy, 2004. "Dynamic Optimization with a Nonsmooth, Nonconvex Technology: The Case of a Linear Objective Function," Discussion Paper Series 161, Research Institute for Economics & Business Administration, Kobe University.
- Takashi Kamihigashi & Santanu Roy, 2005. "Dynamic optimization with a nonsmooth, nonconvex technology: The case of a linear objective function," Discussion Paper Series 175, Research Institute for Economics & Business Administration, Kobe University.
- Costas Azariadis & Allan Drazen, 1990. "Threshold Externalities in Economic Development," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(2), pages 501-526.
- Mukul Majumdar & Tapan Mitra & Yaw Nyarko, 1989. "Dynamic Optimization Under Uncertainty: Non-convex Feasible Set," Palgrave Macmillan Books, in: George R. Feiwel (ed.), Joan Robinson and Modern Economic Theory, chapter 19, pages 545-590, Palgrave Macmillan.
- Ivar Ekeland & José Alexandre Scheinkman, 1986. "Transversality Conditions for Some Infinite Horizon Discrete Time Optimization Problems," Mathematics of Operations Research, INFORMS, vol. 11(2), pages 216-229, May.
- Yano, Makoto, 1984. "Competitive Equilibria on Turnpikes in a McKenzie Economy, I: A Neighborhood Turnpike Theorem," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(3), pages 695-717, October.
- D. McFadden, 1967. "The Evaluation of Development Programmes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(1), pages 25-50.
- J. Dolmas, 2010. "Endogenous Growth with Multisector Ramsey Models," Levine's Working Paper Archive 1383, David K. Levine.
- Joshi, Sumit, 1997. "Turnpike Theorems in Nonconvex Nonstationary Environments," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 225-248, February.
- Guerrero-Luchtenberg, C.L., 2000. "A uniform neighborhood turnpike theorem and applications," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 329-357, November.
- Montrucchio, Luigi, 1994. "The neighbourhood turnpike property for continuous-time optimal growth models," Ricerche Economiche, Elsevier, vol. 48(3), pages 213-224, September.
- Takashi Kamihigashi, 2000. "Indivisible labor implies chaos," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(3), pages 585-598.
- Majumdar, Mukul & Mitra, Tapan, 1982. "Intertemporal allocation with a non-convex technology: The aggregative framework," Journal of Economic Theory, Elsevier, vol. 27(1), pages 101-136, June.
- Dolmas, Jim, 1996. "Endogenous Growth in Multisector Ramsey Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(2), pages 403-421, May.
- Larry E. Jones & Rodolfo Manuelli, 1990. "A Convex Model of Equilibrium Growth," NBER Working Papers 3241, National Bureau of Economic Research, Inc.
- Jones, Larry E & Manuelli, Rodolfo E, 1990. "A Convex Model of Equilibrium Growth: Theory and Policy Implications," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1008-1038, October.
- Donald M. Topkis, 1978. "Minimizing a Submodular Function on a Lattice," Operations Research, INFORMS, vol. 26(2), pages 305-321, April.
- de Hek, Paul & Roy, Santanu, 2001. "On Sustained Growth under Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(3), pages 801-813, August.
- McKenzie, Lionel W., 1982. "A primal route to the Turnpike and Liapounov stability," Journal of Economic Theory, Elsevier, vol. 27(1), pages 194-209, June.
- Mukul Majumdar & Tapan Mitra, 1983. "Dynamic Optimization with a Non-Convex Technology: The Case of a Linear Objective Function," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 143-151.
- Alexandre Scheinkman, Jose, 1976. "On optimal steady states of n-sector growth models when utility is discounted," Journal of Economic Theory, Elsevier, vol. 12(1), pages 11-30, February.
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.- Ha-Huy, Thai & Tran, Nhat Thien, 2020.
"A simple characterisation for sustained growth,"
Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 141-147.
- Thai Ha-Huy & Nhat-Thien Tran, 2019. "A simple characterization for sustained growth," Documents de recherche 19-03, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
- Ha-Huy, Thai & Tran, Nhat-Thien, 2019. "A simple characterization for sustained growth," MPRA Paper 94250, University Library of Munich, Germany.
- Ha-Huy, Thai & Tran, Nhat-Thien, 2019. "A simple characterization for sustained growth," MPRA Paper 94061, University Library of Munich, Germany.
- Ken-Ichi Akao & Takashi Kamihigashi & Kazuo Nishimura, 2015.
"Critical Capital Stock in a Continuous-Time Growth Model with a Convex-Concave Production Function,"
Discussion Paper Series
DP2015-39, Research Institute for Economics & Business Administration, Kobe University.
- Ken-Ichi Akao & Takashi Kamihigashi & Kazuo Nishimura, 2019. "Critical capital stock in a continuous time growth model with a convex-concave production function," RIEEM Discussion Paper Series 1906, Research Institute for Environmental Economics and Management, Waseda University.
- Jensen, Martin Kaae, 2012. "Global stability and the “turnpike” in optimal unbounded growth models," Journal of Economic Theory, Elsevier, vol. 147(2), pages 802-832.
- Thanh Tam Nguyen-Huu & Ngoc-Sang Pham, 2021.
"Escaping the middle income trap and getting economic growth: How does FDI can help the host country?,"
Working Papers
halshs-03143087, HAL.
- Nguyen-Huu, Thanh Tam & Pham, Ngoc-Sang, 2021. "Escaping the middle income trap and getting economic growth: How does FDI can help the host country?," MPRA Paper 106151, University Library of Munich, Germany.
- Vassili Kolokoltsov & Wei Yang, 2012. "Turnpike Theorems for Markov Games," Dynamic Games and Applications, Springer, vol. 2(3), pages 294-312, September.
- Azariadis, Costas & Stachurski, John, 2005.
"Poverty Traps,"
Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 5,
Elsevier.
- Costas Aariadis & John Stachurski, 2004. "Poverty Traps," Department of Economics - Working Papers Series 913, The University of Melbourne.
- N. Hung & C. Le Van & P. Michel, 2009.
"Non-convex aggregate technology and optimal economic growth,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(3), pages 457-471, September.
- Manh Hung Nguyen & Cuong Le Van & Philippe Michel, 2005. "Non-convex aggregative technology and optimal economic growth," Cahiers de la Maison des Sciences Economiques b05095, Université Panthéon-Sorbonne (Paris 1).
- Nguyen Manh Hung & Cuong Le Van & Philippe Michel, 2009. "Non-convex Aggregate Technology and Optimal Economic Growth," Post-Print halshs-00267100, HAL.
- Nguyen Manh Hung & Cuong Le Van & Philippe Michel, 2009. "Non-convex Aggregate Technology and Optimal Economic Growth," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00267100, HAL.
- Nguyen Manh Hung & Cuong Le Van & Philippe Michel, 2009. "Non-convex Aggregate Technology and Optimal Economic Growth," PSE-Ecole d'économie de Paris (Postprint) halshs-00267100, HAL.
- N. M. Hung & Cuong Le Van & P. Michel, 2008. "Non-convex Aggregate Technology and Optimal Economic Growth," Working Papers 05, Development and Policies Research Center (DEPOCEN), Vietnam.
- N.M. Hung & C. Le Van & P. Michel, 2006. "Non-Convex Aggregate Technology and Optimal Economic Growth," Cahiers de recherche 0603, Université Laval - Département d'économique.
- Manh Nguyen Hung & Cuong Le Van & Philippe Michel, 2005. "Non-convex aggregative technology and optimal economic growth," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00197556, HAL.
- Manh Nguyen Hung & Cuong Le Van & Philippe Michel, 2005. "Non-convex aggregative technology and optimal economic growth," Post-Print halshs-00197556, HAL.
- Kaganovich, Michael, 1998.
"Sustained endogenous growth with decreasing returns and heterogeneous capital,"
Journal of Economic Dynamics and Control, Elsevier, vol. 22(10), pages 1575-1603, August.
- Kaganovich, M., 1997. "Sustained Endogenous Growth with Decreasing Returns and Heterogeneous Capital II," Papers 97-005, Indiana - Center for Econometric Model Research.
- Thanh Tam Nguyen-Huu & Ngoc‐sang Pham, 2023. "FDI spillovers, New Industry Development, and Economic Growth," Post-Print hal-04240260, HAL.
- Takashi Kamihigashi, 2014.
"Elementary results on solutions to the bellman equation of dynamic programming: existence, uniqueness, and convergence,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 251-273, June.
- Takashi Kamihigashi, 2012. "Elementary Results on Solutions to the Bellman Equation of Dynamic Programming: Existence, Uniqueness, and Convergence," Discussion Paper Series DP2012-31, Research Institute for Economics & Business Administration, Kobe University.
- Takashi Kamihigashi, 2013. "Elementary Results on Solutions to the Bellman Equation of Dynamic Programming:Existence, Uniqueness, and Convergence," Discussion Paper Series DP2013-35, Research Institute for Economics & Business Administration, Kobe University, revised Dec 2013.
- Takashi Kamihigashi & Santanu Roy, 2006.
"Dynamic optimization with a nonsmooth, nonconvex technology: the case of a linear objective function,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 325-340, October.
- Takashi Kamihigashi & Santanu Roy, 2004. "Dynamic Optimization with a Nonsmooth, Nonconvex Technology: The Case of a Linear Objective Function," Discussion Paper Series 161, Research Institute for Economics & Business Administration, Kobe University.
- Takashi Kamihigashi & Santanu Roy, 2005. "Dynamic optimization with a nonsmooth, nonconvex technology: The case of a linear objective function," Discussion Paper Series 175, Research Institute for Economics & Business Administration, Kobe University.
- Lars J. Olson & Santanu Roy, 2006.
"Theory of Stochastic Optimal Economic Growth,"
Springer Books, in: Rose-Anne Dana & Cuong Le Van & Tapan Mitra & Kazuo Nishimura (ed.), Handbook on Optimal Growth 1, chapter 11, pages 297-335,
Springer.
- Olson, Lars J. & Roy, Santanu, 2005. "Theory of Stochastic Optimal Economic Growth," Working Papers 28601, University of Maryland, Department of Agricultural and Resource Economics.
- Santanu Roy, 2010. "On sustained economic growth with wealth effects," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(1), pages 29-45, March.
- Pham, Ngoc-Sang & Pham, Thi Kim Cuong, 2020.
"Effects of foreign aid on the recipient country’s economic growth,"
Journal of Mathematical Economics, Elsevier, vol. 86(C), pages 52-68.
- Pham, Ngoc-Sang & Pham, Thi Kim Cuong, 2019. "Effects of foreign aid on the recipient country's economic growth," MPRA Paper 93379, University Library of Munich, Germany.
- Ngoc-Sang Pham & Thi Kim Cuong Pham, 2020. "Effects of foreign aid on the recipient country’s economic growth," Post-Print hal-02434995, HAL.
- Thomas M. Steger, 2000.
"Productive Consumption and Growth in Developing Countries,"
Review of Development Economics, Wiley Blackwell, vol. 4(3), pages 365-375, October.
- Thomas M. Steger, 1997. "Productive Consumption and Growth in Developing Countries," Development and Comp Systems 9710001, University Library of Munich, Germany, revised 02 Dec 1997.
- Thomas Steger, 1997. "Productive Consumption and Growth in Developing Countries," Volkswirtschaftliche Diskussionsbeiträge 64-97, Universität Siegen, Fakultät Wirtschaftswissenschaften, Wirtschaftsinformatik und Wirtschaftsrecht.
- Kazuo Nishimura & Ryszard Rudnicki & John Stachurski, 2012.
"Stochastic Optimal Growth with Nonconvexities,"
Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 261-288,
Springer.
- Nishimura, Kazuo & Rudnicki, Ryszard & Stachurski, John, 2006. "Stochastic optimal growth with nonconvexities," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 74-96, February.
- Augeraud-Veron, Emmanuelle & Boucekkine, Raouf & Gozzi, Fausto & Venditti, Alain & Zou, Benteng, 2024.
"Fifty years of mathematical growth theory: Classical topics and new trends,"
Journal of Mathematical Economics, Elsevier, vol. 111(C).
- Emmanuelle Augeraud-Véron & Raouf Boucekkine & Fausto Gozzi & Alain Venditti & Benteng Zou, 2024. "Fifty years of mathematical growth theory: Classical topics and new trends," Working Papers hal-04465039, HAL.
- Emmanuelle Augeraud-Véron & Raouf Boucekkine & Fausto Gozzi & Alain Venditti, 2024. "Fifty years of mathematical growth theory: Classical topics and new trends," AMSE Working Papers 2406, Aix-Marseille School of Economics, France.
- Emmanuelle Augeraud-Veron & Raouf Boucekkine & Fausto Gozzi & Alain Vendetti & Benteng Zou, 2024. "Fifty years of mathematical growth theory: Classical topics and new trends," DEM Discussion Paper Series 24-02, Department of Economics at the University of Luxembourg.
- Emmanuelle Augeraud Veron & Raouf Boucekkine & Fausto Gozzi & Alain Venditti & Beteng Zou, 2024. "Fifty Years of Mathematical Growth Theory: Classical Topics and New Trends," Post-Print hal-04542665, HAL.
- Long, N.V. & Wong, K.Y., 1996.
"Endogenous Growth and International Trade: A Survey,"
Working Papers
96-07, University of Washington, Department of Economics.
- Long, N.V. & Wong, K.Y., 1996. "Endogenous Growth and International Trade: A Survey," Discussion Papers in Economics at the University of Washington 96-07, Department of Economics at the University of Washington.
- Long, Ngo Van & Wong, Kar-Yiu, 1997. "Endogenous growth and international trade: A survey," Discussion Papers, Series II 337, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
- Akao, Ken-Ichi & Kamihigashi, Takashi & Nishimura, Kazuo, 2011.
"Monotonicity and continuity of the critical capital stock in the Dechert–Nishimura model,"
Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 677-682.
- Ken-Ichi Akao & Takashi Kamihigashi & Kazuo Nishimura, 2011. "Monotonicity and Continuity of the Critical Capital Stock in the Dechert-Nishimura Model," Discussion Paper Series DP2011-20, Research Institute for Economics & Business Administration, Kobe University, revised Sep 2011.
- Jones, Larry E. & Manuelli, Rodolfo E., 2005. "Neoclassical Models of Endogenous Growth: The Effects of Fiscal Policy, Innovation and Fluctuations," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 1, pages 13-65, Elsevier.
More about this item
Keywords
Nonconvex; nonsmooth; and discontinuous technology; Optimal growth; Unbounded growth; Extinction; Neighborhood turnpike;All these keywords.
JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
- O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
Statistics
Access and download statisticsCorrections
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:kob:dpaper:139. 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: Office of Promoting Research Collaboration, Research Institute for Economics & Business Administration, Kobe University (email available below). General contact details of provider: https://edirc.repec.org/data/rikobjp.html .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.