IDEAS home Printed from https://ideas.repec.org/a/kap/jproda/v60y2023i3d10.1007_s11123-023-00691-2.html
   My bibliography  Save this article

Path-based set representations

Author

Listed:
  • Robert G. Chambers

    (University of Maryland)

Abstract

Path-based cardinal characterizations of closed and nonempty sets are defined, and their basic properties are detailed. Differential properties and applications to performance measurement are considered.

Suggested Citation

  • Robert G. Chambers, 2023. "Path-based set representations," Journal of Productivity Analysis, Springer, vol. 60(3), pages 249-256, December.
  • Handle: RePEc:kap:jproda:v:60:y:2023:i:3:d:10.1007_s11123-023-00691-2
    DOI: 10.1007/s11123-023-00691-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11123-023-00691-2
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11123-023-00691-2?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. W. Briec & J. B. Lesourd, 1999. "Metric Distance Function and Profit: Some Duality Results," Journal of Optimization Theory and Applications, Springer, vol. 101(1), pages 15-33, April.
    2. Jens Hougaard & Hans Keiding, 1998. "On the Functional Form of an Efficiency Index," Journal of Productivity Analysis, Springer, vol. 9(2), pages 103-111, March.
    3. Robert G. Chambers, 2002. "Exact nonradial input, output, and productivity measurement," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 751-765.
    4. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
    5. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
    6. Luenberger, David G, 1996. "Welfare from a Benefit Viewpoint," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(3), pages 445-462, April.
    7. Blackorby, Charles & Donaldson, David, 1980. "A Theoretical Treatment of Indices of Absolute Inequality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 107-136, February.
    8. David G. Luenberger, 1996. "Welfare from a benefit viewpoint (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(3), pages 445-462.
    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. W. Briec & K. Kerstens, 2009. "Infeasibility and Directional Distance Functions with Application to the Determinateness of the Luenberger Productivity Indicator," Journal of Optimization Theory and Applications, Springer, vol. 141(1), pages 55-73, April.
    2. A. Abad & P. Ravelojaona, 2017. "Exponential environmental productivity index and indicators," Journal of Productivity Analysis, Springer, vol. 48(2), pages 147-166, December.
    3. Arnaud Abad & Rabaozafy Louisa Andriamasy & Walter Briec, 2018. "Surplus measures and luenberger Hicks–Moorsteen productivity indicator," Journal of Economics, Springer, vol. 125(3), pages 279-308, November.
    4. Briec, Walter & Mussard, Stéphane, 2014. "Efficient firm groups: Allocative efficiency in cooperative games," European Journal of Operational Research, Elsevier, vol. 239(1), pages 286-296.
    5. Walter Briec & Laurent Cavaignac, 2009. "An extension of the multi-output state-contingent production model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(1), pages 43-64, April.
    6. Atakelty Hailu & Robert Chambers, 2012. "A Luenberger soil-quality indicator," Journal of Productivity Analysis, Springer, vol. 38(2), pages 145-154, October.
    7. W. Briec & K. Kerstens & J. B. Lesourd, 2004. "Single-Period Markowitz Portfolio Selection, Performance Gauging, and Duality: A Variation on the Luenberger Shortage Function," Journal of Optimization Theory and Applications, Springer, vol. 120(1), pages 1-27, January.
    8. Briec, Walter & Dumas, Audrey & Kerstens, Kristiaan & Stenger, Agathe, 2022. "Generalised commensurability properties of efficiency measures: Implications for productivity indicators," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1481-1492.
    9. Briec, Walter & Dumas, Audrey & Mekki, Ayman, 2021. "Directional distance functions and social welfare: Some axiomatic and dual properties," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 181-190.
    10. Chavas, Jean-Paul, 2013. "On Demand Analysis and Dynamics: A Benefit Function Approach," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 149683, Agricultural and Applied Economics Association.
    11. Managi, Shunsuke & Jena, Pradyot Ranjan, 2008. "Environmental productivity and Kuznets curve in India," Ecological Economics, Elsevier, vol. 65(2), pages 432-440, April.
    12. Vardges Hovhannisyan, 2018. "A structural model of cost pass-through: the case of the US yogurt retailing," Empirical Economics, Springer, vol. 55(2), pages 805-830, September.
    13. S. Managi, 2003. "Luenberger and Malmquist productivity indices in Japan, 1955-1995," Applied Economics Letters, Taylor & Francis Journals, vol. 10(9), pages 581-584.
    14. Briec, Walter & Mussard, Stéphane, 2020. "Improvement of technical efficiency of firm groups," European Journal of Operational Research, Elsevier, vol. 283(3), pages 991-1001.
    15. Jean‐Philippe Boussemart & Walter Briec & Kristiaan Kerstens & Jean‐Christophe Poutineau, 2003. "Luenberger and Malmquist Productivity Indices: Theoretical Comparisons and Empirical Illustration," Bulletin of Economic Research, Wiley Blackwell, vol. 55(4), pages 391-405, October.
    16. Hirofumi Fukuyama & William L. Weber, 2008. "Indicators and indexes of directional output loss and input allocative inefficiency," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 29(7), pages 565-574.
    17. Shunsuke Managi & Shinji Kaneko, 2006. "Productivity of market and environmental abatement in China," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 7(4), pages 459-470, December.
    18. Francesco Andreoli & Alessandra Michelangeli, 2014. "Welfare Measures to Assess Urban Quality of Life," Working Papers 278, University of Milano-Bicocca, Department of Economics, revised Jun 2014.
    19. Dubrocard, Anne & Prombo, Michel, 2012. "Performance environnementale et mesure de la productivité," MPRA Paper 41456, University Library of Munich, Germany.
    20. Raphaël Giraud, 2012. "Money matters: an axiomatic theory of the endowment effect," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 303-339, June.

    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:kap:jproda:v:60:y:2023:i:3:d:10.1007_s11123-023-00691-2. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.