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Substitution Effects in Intertemporal Problems
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Substitution Effects in Intertemporal Problems

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  • Davide Dragone
  • Paolo Vanin

Abstract

We consider a broad class of intertemporal economic problems and we characterize the short and long-run response of the demand for a good to a permanent increase in its market price. Depending on the interplay between self-productivity and time discounting, we show that dynamic substitution effects can generate price elasticities of opposite sign in the short and in the long run.

Suggested Citation

  • Davide Dragone & Paolo Vanin, 2020. "Substitution Effects in Intertemporal Problems," Working Papers wp1147, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:wp1147
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    1. Heckman, James J & Lochner, Lance & Taber, Christopher, 1998. "Tax Policy and Human-Capital Formation," American Economic Review, American Economic Association, vol. 88(2), pages 293-297, May.
    2. Jody Overland & Christopher D. Carroll & David N. Weil, 2000. "Saving and Growth with Habit Formation," American Economic Review, American Economic Association, vol. 90(3), pages 341-355, June.
    3. Robert E. Hall, 2010. "Basic Analysis of Forward-Looking Decision Making," Introductory Chapters, in: Forward-Looking Decision Making: Dynamic Programming Models Applied to Health, Risk, Employment, and Financial Stability, Princeton University Press.
    4. Weiss, Yoram, 1972. "On the Optimal Lifetime Pattern of Labour Supply," Economic Journal, Royal Economic Society, vol. 82(328), pages 1293-1315, December.
    5. Marek Kapička & Julian Neira, 2019. "Optimal Taxation with Risky Human Capital," American Economic Journal: Macroeconomics, American Economic Association, vol. 11(4), pages 271-309, October.
    6. D. Dragone & P. Vanin, 2015. "Price Effect in the Short and in the Long Run," Working Papers wp1040, Dipartimento Scienze Economiche, Universita' di Bologna.
    7. James Heckman & Flavio Cunha, 2007. "The Technology of Skill Formation," American Economic Review, American Economic Association, vol. 97(2), pages 31-47, May.
    8. Raj Chetty & Adam Szeidl, 2016. "Consumption Commitments and Habit Formation," Econometrica, Econometric Society, vol. 84, pages 855-890, March.
    9. Dragone, Davide & Ziebarth, Nicolas R., 2017. "Non-separable time preferences, novelty consumption and body weight: Theory and evidence from the East German transition to capitalism," Journal of Health Economics, Elsevier, vol. 51(C), pages 41-65.
    10. Philip A. Trostel, 2004. "Returns to scale in producing human capital from schooling," Oxford Economic Papers, Oxford University Press, vol. 56(3), pages 461-484, July.
    11. Galama, Titus & Kapteyn, Arie, 2011. "Grossman’s missing health threshold," Journal of Health Economics, Elsevier, vol. 30(5), pages 1044-1056.
    12. Thierry Magnac & Nicolas Pistolesi & Sébastien Roux, 2018. "Post-Schooling Human Capital Investments and the Life Cycle of Earnings," Journal of Political Economy, University of Chicago Press, vol. 126(3), pages 1219-1249.
    13. Seierstad, Atle & Sydsaeter, Knut, 1977. "Sufficient Conditions in Optimal Control Theory," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 367-391, June.
    14. Heckman, James J, 1976. "A Life-Cycle Model of Earnings, Learning, and Consumption," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 11-44, August.
    15. Stefanie Stantcheva, 2017. "Optimal Taxation and Human Capital Policies over the Life Cycle," Journal of Political Economy, University of Chicago Press, vol. 125(6), pages 1931-1990.
    16. K. J. Arrow, 1971. "The Economic Implications of Learning by Doing," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 11, pages 131-149, Palgrave Macmillan.
    17. Carl-Johan Dalgaard & Holger Strulik, 2014. "Optimal Aging And Death: Understanding The Preston Curve," Journal of the European Economic Association, European Economic Association, vol. 12(3), pages 672-701, June.
    18. Yoram Ben-Porath, 1967. "The Production of Human Capital and the Life Cycle of Earnings," Journal of Political Economy, University of Chicago Press, vol. 75(4), pages 352-352.
    19. Blinder, Alan S & Weiss, Yoram, 1976. "Human Capital and Labor Supply: A Synthesis," Journal of Political Economy, University of Chicago Press, vol. 84(3), pages 449-472, June.
    20. Grossman, Michael, 1972. "On the Concept of Health Capital and the Demand for Health," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 223-255, March-Apr.
    21. Epstein, Larry G., 1978. "The Le Chatelier Principle in optimal control problems," Journal of Economic Theory, Elsevier, vol. 19(1), pages 103-122, October.
    22. Michael R. Caputo, 1990. "Comparative Dynamics via Envelope Methods in Variational Calculus," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(4), pages 689-697.
    23. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329.
    24. Krause, Alan, 2009. "Optimal nonlinear income taxation with learning-by-doing," Journal of Public Economics, Elsevier, vol. 93(9-10), pages 1098-1110, October.
    25. Becker, Gary S & Murphy, Kevin M, 1988. "A Theory of Rational Addiction," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 675-700, August.
    26. Heckman, James J, 1974. "Life Cycle Consumption and Labor Supply: An Explanation of the Relationship Between Income and Consumption Over the Life Cycle," American Economic Review, American Economic Association, vol. 64(1), pages 188-194, March.
    27. D. Dragone & H. Strulik, 2017. "Human Health and Aging over an Infinite Time Horizon," Working Papers wp1104, Dipartimento Scienze Economiche, Universita' di Bologna.
    28. Oniki, Hajime, 1973. "Comparative dynamics (sensitivity analysis) in optimal control theory," Journal of Economic Theory, Elsevier, vol. 6(3), pages 265-283, June.
    29. Stigler, George J & Becker, Gary S, 1977. "De Gustibus Non Est Disputandum," American Economic Review, American Economic Association, vol. 67(2), pages 76-90, March.
    30. Otani, Kiyoshi, 1982. "Explicit Formulae of Comparative Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 411-419, June.
    31. Ljungqvist, Lars & Sargent, Thomas J., 2012. "Recursive Macroeconomic Theory, Third Edition," MIT Press Books, The MIT Press, edition 3, volume 1, number 0262018748, April.
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    3. Holger Strulik & Volker Grossmann, 2024. "Beyond Covid: Pandemics and the Economics of Aging and Longevity," CESifo Working Paper Series 11104, CESifo.
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    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • I00 - Health, Education, and Welfare - - General - - - General

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