IDEAS home Printed from https://ideas.repec.org/p/hhs/osloec/2017_004.html
   My bibliography  Save this paper

Revisiting, from a Frischian point of view, the relationship between elasticities of intratemporal and intertemporal substitution

Author

Listed:

Abstract

How are substitution in the spatial and in the temporal sense connected? Can estimates based on data with spatial variation be transmitted into values appropriate for exploring temporal variation, and vice versa? This paper, building on, inter alia, Frisch (1959), attempts to give some clarifications and provides elements of a synthesis. The income elasticity of the marginal utility of income, whose inverse is often called the ‘Frisch parameter’, and its multi-period counterpart, the wealth elasticity of the marginal utility of wealth, are key concepts. Three cases with additive preferences are discussed, and in that context the role of the (generalized) ‘Frisch parameter’ as an overall measure of substitution across commodities and over time is reconsidered.

Suggested Citation

  • Biørn, Erik, 2017. "Revisiting, from a Frischian point of view, the relationship between elasticities of intratemporal and intertemporal substitution," Memorandum 04/2017, Oslo University, Department of Economics.
    • Handle: RePEc:hhs:osloec:2017_004
    as

    Download full text from publisher

    File URL: http://www.sv.uio.no/econ/english/research/unpublished-works/working-papers/pdf-files/2017/memo-04-2017.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Pakoš, Michal, 2011. "Estimating Intertemporal and Intratemporal Substitutions When Both Income and Substitution Effects Are Present: The Role of Durable Goods," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(3), pages 439-454.
    2. W. E. Diewert, 1974. "A Note on Aggregation and Elasticities of Substitution," Canadian Journal of Economics, Canadian Economics Association, vol. 7(1), pages 12-20, February.
    3. McLaughlin, Kenneth J., 1995. "Intertemporal substitution and [lambda]-constant comparative statics," Journal of Monetary Economics, Elsevier, vol. 35(1), pages 193-213, February.
    4. Thomas F. Crossley & Hamish W. Low, 2011. "Is The Elasticity Of Intertemporal Substitution Constant?," Journal of the European Economic Association, European Economic Association, vol. 9(1), pages 87-105, February.
    5. Charles Blackorby & R. Robert Russell, 1981. "The Morishima Elasticity of Substitution; Symmetry, Constancy, Separability, and its Relationship to the Hicks and Allen Elasticities," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(1), pages 147-158.
    6. Strøm,Steinar (ed.), 1999. "Econometrics and Economic Theory in the 20th Century," Cambridge Books, Cambridge University Press, number 9780521633659, September.
    7. Miyagiwa, Kaz & Papageorgiou, Chris, 2007. "Endogenous aggregate elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2899-2919, September.
    8. Blackorby, Charles & Russell, R Robert, 1989. "Will the Real Elasticity of Substitution Please Stand Up? (A Comparison of the Allen/Uzawa and Morishima Elasticities)," American Economic Review, American Economic Association, vol. 79(4), pages 882-888, September.
    9. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    10. Barnett, William A. & Serletis, Apostolos, 2008. "Measuring Consumer Preferences and Estimating Demand Systems," MPRA Paper 12318, University Library of Munich, Germany.
    11. Browning, Martin, 2005. "A working paper from April 1985: Which demand elasticities do we know and which do we need to know for policy analysis?," Research in Economics, Elsevier, vol. 59(4), pages 293-320, December.
    12. Barnett, Vincent, 2007. "The Contextual Sources of Slutsky's Effect: 1915, 1927, and After," Journal of the History of Economic Thought, Cambridge University Press, vol. 29(4), pages 403-416, December.
    13. Hoel, Michael, 1975. "A note on the estimation of the elasticity of the marginal utility of consumption," European Economic Review, Elsevier, vol. 6(4), pages 411-415, October.
    14. Browning, Martin & Deaton, Angus & Irish, Margaret, 1985. "A Profitable Approach to Labor Supply and Commodity Demands over the Life-Cycle," Econometrica, Econometric Society, vol. 53(3), pages 503-543, May.
    15. Hirofumi Uzawa, 1962. "Production Functions with Constant Elasticities of Substitution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(4), pages 291-299.
    16. Daniel McFadden, 1963. "Constant Elasticity of Substitution Production Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(2), pages 73-83.
    17. Strøm,Steinar (ed.), 1999. "Econometrics and Economic Theory in the 20th Century," Cambridge Books, Cambridge University Press, number 9780521633239, September.
    18. Julian Thimme, 2017. "Intertemporal Substitution In Consumption: A Literature Review," Journal of Economic Surveys, Wiley Blackwell, vol. 31(1), pages 226-257, February.
    19. Kim, H Youn, 1993. "Frisch Demand Functions and Intertemporal Substitution in Consumption," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 25(3), pages 445-454, August.
    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. Jin, Man, 2018. "Measuring substitution in China's monetary-assets demand system," China Economic Review, Elsevier, vol. 50(C), pages 117-132.
    2. Paul, Saumik, 2019. "A Decline in Labor's Share with Capital Accumulation and Complementary Factor Inputs: An Application of the Morishima Elasticity of Substitution," IZA Discussion Papers 12219, Institute of Labor Economics (IZA).
    3. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    4. H. Kim & Keith McLaren & K. Wong, 2013. "Empirical demand systems incorporating intertemporal consumption dynamics," Empirical Economics, Springer, vol. 45(1), pages 349-370, August.
    5. Serletis, Apostolos & Xu, Libo, 2021. "Consumption, Leisure, And Money," Macroeconomic Dynamics, Cambridge University Press, vol. 25(6), pages 1412-1441, September.
    6. Kannika Duangnate & James W. Mjelde, 2022. "The Role of Pre-Commitments and Engle Curves in Thailand’s Aggregate Energy Demand System," Energies, MDPI, vol. 15(4), pages 1-16, February.
    7. Noah J Miller & Jason S Bergtold & Allen M Featherstone, 2019. "Economic elasticities of input substitution using data envelopment analysis," PLOS ONE, Public Library of Science, vol. 14(8), pages 1-15, August.
    8. Stern, David I., 2008. "Derivation of the Hicks Elasticity of Substitution from the Input Distance Function," MPRA Paper 12414, University Library of Munich, Germany.
    9. Anthony J. Glass & Amangeldi Kenjegaliev & Karligash Kenjegalieva, 2022. "Comparisons of deposit types and implications of the financial crisis: Evidence for U.S. banks," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 27(1), pages 641-664, January.
    10. David Stern, 2011. "Elasticities of substitution and complementarity," Journal of Productivity Analysis, Springer, vol. 36(1), pages 79-89, August.
    11. Frondel, Manuel, 2004. "Empirical assessment of energy-price policies: the case for cross-price elasticities," Energy Policy, Elsevier, vol. 32(8), pages 989-1000, June.
    12. Elena Burmistrova & Sergey Lobanov, 2018. "The Allen--Uzawa elasticity of substitution for nonhomogeneous production functions," Papers 1802.06885, arXiv.org.
    13. Frédéric Reynès, 2011. "The cobb-douglas function as an approximation of other functions," SciencePo Working papers Main hal-01069515, HAL.
    14. repec:spo:wpmain:info:hdl:2441/1cpd872l2j8lb968d53pu5f30q is not listed on IDEAS
    15. Frédéric Reynès, 2017. "The Cobb-Douglas function as a flexible function. Analysing the substitution between capital, labor and energy," Documents de Travail de l'OFCE 2017-12, Observatoire Francais des Conjonctures Economiques (OFCE).
    16. Dawei Zhang & Zhuo (June) Cheng & Hasan A. Qurban H. Mohammad & Barrie R. Nault, 2015. "Research Commentary—Information Technology Substitution Revisited," Information Systems Research, INFORMS, vol. 26(3), pages 480-495, September.
    17. Lundmark, Robert & Olsson, Anna, 2015. "Factor substitution and procurement competition for forest resources in Sweden," International Journal of Production Economics, Elsevier, vol. 169(C), pages 99-109.
    18. Paul, Saumik, 2018. "Capital Skill Substitutability and the Labor Income Share: Identification Using the Morishima Elasticity of Substitution," ADBI Working Papers 839, Asian Development Bank Institute.
    19. Rowland, Christopher S. & Mjelde, James W. & Dharmasena, Senarath, 2017. "Policy implications of considering pre-commitments in U.S. aggregate energy demand system," Energy Policy, Elsevier, vol. 102(C), pages 406-413.
    20. Frédéric Reynès, 2011. "The cobb-douglas function as an approximation of other functions," Working Papers hal-01069515, HAL.
    21. Daniel Friedman & József Sákovics, 2015. "Tractable consumer choice," Theory and Decision, Springer, vol. 79(2), pages 333-358, September.

    More about this item

    Keywords

    Frisch elasticity; Frisch demand; Intertemporal substitution; Additive preferences; Marginal utility of Income; Marginal utility of wealth;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:hhs:osloec:2017_004. 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: Mari Strønstad Øverås (email available below). General contact details of provider: https://edirc.repec.org/data/souiono.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.