IDEAS home Printed from https://ideas.repec.org/a/taf/ecsysr/v13y2001i3p299-315.html
   My bibliography  Save this article

A Property of the Leontief Inverse and its Applications to Comparative Static Analysis

Author

Listed:
  • Lisheng Zeng

Abstract

We arbitrarily choose a submatrix of order 2 in the Leontief inverse matrix B . If a main diagonal element in the submatrix is a main diagonal element in B , then the determinant of the submatrix is non-negative; in particular, if the two main diagonal elements in the submatrix are all the main diagonal elements in B , then the determinant of the submatrix is greater than or equal to 1. This property can be used in the comparative static analysis for the input-output model. For example, when the change only occurs in one sectoral final demand or one corresponding row of the input coefficient matrix, which leads to a change of this sectoral gross output, the equivalent conditions that the absolute value of the rate of change of this sectoral gross output is larger than or equal to all other sectoral change rates and larger than at least one sectoral rate of change are shown. It is impossible to derive the exact results for the comparative static analysis if the property is not applied. A previous fault confirms this point.

Suggested Citation

  • Lisheng Zeng, 2001. "A Property of the Leontief Inverse and its Applications to Comparative Static Analysis," Economic Systems Research, Taylor & Francis Journals, vol. 13(3), pages 299-315.
    • Handle: RePEc:taf:ecsysr:v:13:y:2001:i:3:p:299-315
    DOI: 10.1080/09537320120070185
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/09537320120070185
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/09537320120070185?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. Sonis, Michael & Hewings, Geoffrey J.D., 1998. "Temporal Leontief Inverse," Macroeconomic Dynamics, Cambridge University Press, vol. 2(1), pages 89-114, March.
    2. Michael Sonis & J. D. Hewings & Jiemin Guo, 2000. "A New Image of Classical Key Sector Analysis: Minimum Information Decomposition of the Leontief Inverse," Economic Systems Research, Taylor & Francis Journals, vol. 12(3), pages 401-423.
    3. repec:cup:macdyn:v:2:y:1998:i:1:p:89-114 is not listed on IDEAS
    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. Sari, Dyah Wulan & Restikasari, Wenny & Ajija, Shochrul Rohmatul & Tarbiyah Islamia, Haura Azzara & Muchtar, Darmawati, 2021. "The Impacts of Foreign Direct Investment and Export Expansion on the Performance of the High-Tech Manufacturing Industry," Jurnal Ekonomi Malaysia, Faculty of Economics and Business, Universiti Kebangsaan Malaysia, vol. 55(2), pages 91-105.
    2. Umed Temurshoev, 2010. "Identifying Optimal Sector Groupings With The Hypothetical Extraction Method," Journal of Regional Science, Wiley Blackwell, vol. 50(4), pages 872-890, October.
    3. Zeng, Lisheng, 2014. "Two kinds of Pareto improvements of the economic system: An input–output analysis using the nonnegative matrices theory," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 12-19.

    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. Sonis, Michael, 2002. "Complexity and complication in dynamics of linear spatial socio-economies, a synopsis," ERSA conference papers ersa02p044, European Regional Science Association.
    2. Marco Percoco, 2006. "A Note on the Inoperability Input‐Output Model," Risk Analysis, John Wiley & Sons, vol. 26(3), pages 589-594, June.
    3. Ryoko Morioka & Keisuke Nansai & Koji Tsuda, 2018. "Role of linkage structures in supply chain for managing greenhouse gas emissions," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 7(1), pages 1-21, December.
    4. M. Carmen Lima & M. Alejandro Cardenete & José Vallés, 2003. "Un análisis estructural de la economía andaluza a través de matrices de contabilidad social: 1990-19991," Economic Working Papers at Centro de Estudios Andaluces E2003/20, Centro de Estudios Andaluces.
    5. Michael Sonis & Maxim Shoshany & Naftali Goldschlager, 2005. "Matrix Land Use Analysis - a Case Study of Landscape Changes in Israeli Carmel Area," ERSA conference papers ersa05p19, European Regional Science Association.
    6. Rumiana Gorska, 2015. "Backward and forward linkages based on an input-output analysis – comparative study of Poland and selected European countries," Applied Econometrics Papers, Department of Applied Econometrics, Warsaw School of Economics, vol. 2(1), pages 30-50.
    7. Stanislav Shmelev & Harrison Roger Brook, 2021. "Macro Sustainability across Countries: Key Sector Environmentally Extended Input-Output Analysis," Sustainability, MDPI, vol. 13(21), pages 1-46, October.
    8. Olczyk, Magdalena, 2011. "Structural changes in the Polish economy - the analysis of input-output," MPRA Paper 33659, University Library of Munich, Germany.
    9. Marco Percoco, 2011. "On the Local Sensitivity Analysis of the Inoperability Input‐Output Model," Risk Analysis, John Wiley & Sons, vol. 31(7), pages 1038-1042, July.
    10. Matías Piaggio & Vicent Alcántara Escolano & Emilio Padilla, 2012. "Economic structure and key sectors analysis of greenhouse gas emissions in Uruguay," Working Papers wpdea1204, Department of Applied Economics at Universitat Autonoma of Barcelona.
    11. Chokri Dridi & Geoffrey Hewings, 2002. "An Investigation of Industry Associations, Association Loops and Economic Complexity: Application to Canada and the United States," Economic Systems Research, Taylor & Francis Journals, vol. 14(3), pages 275-296.
    12. Florent MCISAAC & Florent Mc ISAAC, 2017. "An Input-Output Analysis: What Would a Low-Carbon Economy for Brazil Mean?," Working Paper f2f77b78-bd3b-4408-b3e9-d, Agence française de développement.
    13. Thijs Raa, 2020. "Linkages, fields of influence and key sectors," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 9(1), pages 1-3, December.
    14. Malcolm Beynon & Max Munday, 2008. "Stochastic key sector analysis: an application to a regional input–output framework," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 42(4), pages 863-877, December.
    15. Dong Guo & Geoffrey Hewings & Michael Sonis, 2005. "Integrating decomposition approaches for the analysis of temporal changes in economic structure: an application to Chicago's economy from 1980 to 2000," Economic Systems Research, Taylor & Francis Journals, vol. 17(3), pages 297-315.
    16. García Muñiz, Ana Salomé, 2013. "Input–output research in structural equivalence: Extracting paths and similarities," Economic Modelling, Elsevier, vol. 31(C), pages 796-803.
    17. Sari, Dyah Wulan & Restikasari, Wenny & Ajija, Shochrul Rohmatul & Tarbiyah Islamia, Haura Azzara & Muchtar, Darmawati, 2021. "The Impacts of Foreign Direct Investment and Export Expansion on the Performance of the High-Tech Manufacturing Industry," Jurnal Ekonomi Malaysia, Faculty of Economics and Business, Universiti Kebangsaan Malaysia, vol. 55(2), pages 91-105.
    18. Vito Albino & Erik Dietzenbacher & Silvana Kuhtz, 2003. "Analysing Materials and Energy Flows in an Industrial District using an Enterprise Input-Output Model," Economic Systems Research, Taylor & Francis Journals, vol. 15(4), pages 457-480.
    19. Franco Solís, Alberto & F.T. Avelino, André & Carrascal-Incera, André, 2020. "The evolution of household-induced value chains and their environmental implications," Ecological Economics, Elsevier, vol. 174(C).
    20. Yongfei Li & Sang-Gun Lee & Myungjai Kong, 2019. "The industrial impact and competitive advantage of China’s ICT industry," Service Business, Springer;Pan-Pacific Business Association, vol. 13(1), pages 101-127, March.

    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:taf:ecsysr:v:13:y:2001:i:3:p:299-315. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/CESR20 .

    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.