IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/114641.html

Holoreturns And Holothetic Invariance in Economics

Author

Listed:
  • Mughal, Adil Ahmad

Abstract

Hicks neutral technical progress implies that in Y = AF(K, L) any technical progress only changes the technological knowledge, A, but does not af ect inputs and this is the Hicks-neutral holothetic result given by Sato in which the technical progress transforms into a scale ef ect without changing the map of isoquants to non-holothetic trajectory. This holothetic nature of production functions is possible under Lie-group like transformations with invariance properties for production functions under a given technical progress. This paper proposes a Farkas Lemma-like character of this holothetic transformation. Kostant's Convexity Theorem is a well-generalized result of convexity on Lie-group transformations concerning holotheticity. There's an 'equilibrium pricing' way found here for a convexity assumption implying 'holothetic invariance'.

Suggested Citation

  • Mughal, Adil Ahmad, 2022. "Holoreturns And Holothetic Invariance in Economics," MPRA Paper 114641, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:114641
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/114641/1/MPRA_paper_114641.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Constantinides, George M & Duffie, Darrell, 1996. "Asset Pricing with Heterogeneous Consumers," Journal of Political Economy, University of Chicago Press, vol. 104(2), pages 219-240, April.
    2. Andrew McLennan, 2018. "Advanced Fixed Point Theory for Economics," Springer Books, Springer, number 978-981-13-0710-2, January.
    3. Ryuzo Sato, 1980. "The Impact of Technical Change on the Holotheticity of Production Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(4), pages 767-776.
    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. Stavros Panageas & Nicolae Garleanu, 2008. "Yooung, Old, Conservative and Bold: The implications of finite lives and heterogeneity for asset prices," 2008 Meeting Papers 409, Society for Economic Dynamics.
    2. Piero Gottardi & Atsushi Kajii & Tomoyuki Nakajima, 2015. "Optimal Taxation and Debt with Uninsurable Risks to Human Capital Accumulation," American Economic Review, American Economic Association, vol. 105(11), pages 3443-3470, November.
    3. Souza, Thiago de Oliveira, 2020. "Dollar carry timing," Discussion Papers on Economics 10/2020, University of Southern Denmark, Department of Economics.
    4. Juan Pablo Medina, 2004. "Endogenous Financial Constraints: Persistence and Interest Rate Fluctuations," Working Papers Central Bank of Chile 290, Central Bank of Chile.
    5. Kris Jacobs, 2001. "Estimating Nonseparable Preference Specifications for Asset Market Participants," CIRANO Working Papers 2001s-12, CIRANO.
    6. John Heaton & Deborah Lucas, 2000. "Stock Prices and Fundamentals," NBER Chapters, in: NBER Macroeconomics Annual 1999, Volume 14, pages 213-264, National Bureau of Economic Research, Inc.
    7. Challe, Edouard & Le Grand, François & Ragot, Xavier, 2013. "Incomplete markets, liquidation risk, and the term structure of interest rates," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2483-2519.
    8. K. J. Martijn Cremers & Vinay B. Nair & Kose John, 2009. "Takeovers and the Cross-Section of Returns," Review of Financial Studies, Society for Financial Studies, vol. 22(4), pages 1409-1445, April.
    9. Alessandro Federici & Pierluigi Montalbano, 2012. "Macroeconomic volatility, consumption behaviour and welfare: A cross-country analysis," Working Paper Series 3612, Department of Economics, University of Sussex Business School.
    10. David N. DeJong & Emilio Espino, 2007. "The Cyclical Behavior of Equity Turnover," Working Paper 294, Department of Economics, University of Pittsburgh, revised Jun 2010.
    11. Tédongap, Roméo & Tinang, Jules, 2024. "International asset pricing with heterogeneous agents: Estimation and inference," Journal of Empirical Finance, Elsevier, vol. 75(C).
    12. Fu, Qi & So, Jacky Yuk-Chow & Li, Xiaotong, 2024. "Stable paretian distribution, return generating processes and habit formation—The implication for equity premium puzzle," The North American Journal of Economics and Finance, Elsevier, vol. 70(C).
    13. Tom Krebs & Pravin Krishna & William Maloney, 2010. "Trade Policy, Income Risk, and Welfare," The Review of Economics and Statistics, MIT Press, vol. 92(3), pages 467-481, August.
    14. Angeletos, George-Marios & Calvet, Laurent-Emmanuel, 2005. "Incomplete-market dynamics in a neoclassical production economy," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 407-438, August.
    15. Geoffrey J. Warren, 2008. "Implications for Asset Pricing Puzzles of a Roll‐over Assumption for the Risk‐Free Asset," International Review of Finance, International Review of Finance Ltd., vol. 8(3‐4), pages 125-157, September.
    16. Annette Vissing-Jorgensen, 2000. "Towards an Explanation of Household Portfolio Choice Heterogeneity: Nonfinancial Income and Participation Cost Structures," Econometric Society World Congress 2000 Contributed Papers 1102, Econometric Society.
    17. Rieger, Marc Oliver & Wang, Mei, 2012. "Can ambiguity aversion solve the equity premium puzzle? Survey evidence from international data," Finance Research Letters, Elsevier, vol. 9(2), pages 63-72.
    18. François Le Grand & Xavier Ragot, 2022. "Managing Inequality Over Business Cycles: Optimal Policies With Heterogeneous Agents And Aggregate Shocks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(1), pages 511-540, February.
    19. Beker, Pablo & Chattopadhyay, Subir, 2010. "Consumption dynamics in general equilibrium: A characterisation when markets are incomplete," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2133-2185, November.
    20. Wang, Qin & Ren, Yu & Zou, Yiheng, 2016. "Uninsured expense shocks and equity premia," Economic Modelling, Elsevier, vol. 58(C), pages 64-74.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • D46 - Microeconomics - - Market Structure, Pricing, and Design - - - Value Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • G0 - Financial Economics - - General
    • G01 - Financial Economics - - General - - - Financial Crises

    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:pra:mprapa:114641. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.