IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v166y2015i1d10.1007_s10957-015-0711-2.html
   My bibliography  Save this article

Generalized Inexact Proximal Algorithms: Routine’s Formation with Resistance to Change, Following Worthwhile Changes

Author

Listed:
  • G. C. Bento

    (Universidade Federal de Goiás)

  • A. Soubeyran

    (Aix-Marseille University (Aix-Marseille School of Economics))

Abstract

This paper shows how, in a quasi-metric space, an inexact proximal algorithm with a generalized perturbation term appears to be a nice tool for Behavioral Sciences (Psychology, Economics, Management, Game theory,...). More precisely, the new perturbation term represents an index of resistance to change, defined as a “curved enough” function of the quasi-distance between two successive iterates. Using this behavioral point of view, the present paper shows how such a generalized inexact proximal algorithm can modelize the formation of habits and routines in a striking way. This idea comes from a recent “variational rationality approach” of human behavior which links a lot of different theories of stability (habits, routines, equilibrium, traps,...) and changes (creations, innovations, learning and destructions,...) in Behavioral Sciences and a lot of concepts and algorithms in variational analysis.

Suggested Citation

  • G. C. Bento & A. Soubeyran, 2015. "Generalized Inexact Proximal Algorithms: Routine’s Formation with Resistance to Change, Following Worthwhile Changes," Journal of Optimization Theory and Applications, Springer, vol. 166(1), pages 172-187, July.
    • Handle: RePEc:spr:joptap:v:166:y:2015:i:1:d:10.1007_s10957-015-0711-2
    DOI: 10.1007/s10957-015-0711-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-015-0711-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-015-0711-2?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. Michael Kremer, 1993. "The O-Ring Theory of Economic Development," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 551-575.
    2. Hédy Attouch & Jérôme Bolte & Patrick Redont & Antoine Soubeyran, 2010. "Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality," Mathematics of Operations Research, INFORMS, vol. 35(2), pages 438-457, May.
    3. Amos Tversky & Daniel Kahneman, 1991. "Loss Aversion in Riskless Choice: A Reference-Dependent Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(4), pages 1039-1061.
    4. Ngo Van Long & Antoine Soubeyran & Raphael Soubeyran, 2014. "Knowledge Accumulation Within An Organization," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(4), pages 1089-1128, November.
    5. Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 69(1), pages 99-118.
    6. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    7. Fabián Flores-Bazán & Dinh The Luc & Antoine Soubeyran, 2012. "Maximal Elements Under Reference-Dependent Preferences with Applications to Behavioral Traps and Games," Journal of Optimization Theory and Applications, Springer, vol. 155(3), pages 883-901, December.
    8. Ngo Van Long & Antoine Soubeyran & Raphael Soubeyran, 2014. "Knowledge Accumulation Within An Organization," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 1089-1128, November.
    9. Joao Xavier Cruz Neto & Paulo Roberto Oliveira & A. Soares Jr Pedro & Antoine Soubeyran, 2013. "Learning how to Play Nash, Potential Games and Alternating Minimization Method for Structured Nonconvex Problems on Riemannian Manifolds," Post-Print hal-01500875, HAL.
    10. Moussa Larbani & Po Lung Yu, 2012. "Decision Making and Optimization in Changeable Spaces, a New Paradigm," Journal of Optimization Theory and Applications, Springer, vol. 155(3), pages 727-761, December.
    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. Glaydston Carvalho Bento & João Xavier Cruz Neto & Antoine Soubeyran & Valdinês Leite Sousa Júnior, 2016. "Dual Descent Methods as Tension Reduction Systems," Journal of Optimization Theory and Applications, Springer, vol. 171(1), pages 209-227, October.
    2. J. X. Cruz Neto & P. R. Oliveira & A. Soubeyran & J. C. O. Souza, 2020. "A generalized proximal linearized algorithm for DC functions with application to the optimal size of the firm problem," Annals of Operations Research, Springer, vol. 289(2), pages 313-339, June.
    3. Glaydston Carvalho Bento & Sandro Dimy Barbosa Bitar & João Xavier Cruz Neto & Antoine Soubeyran & João Carlos Oliveira Souza, 2020. "A proximal point method for difference of convex functions in multi-objective optimization with application to group dynamic problems," Computational Optimization and Applications, Springer, vol. 75(1), pages 263-290, January.
    4. E. A. Papa Quiroz & A. Soubeyran & P. R. Oliveira, 2023. "Coercivity and generalized proximal algorithms: application—traveling around the world," Annals of Operations Research, Springer, vol. 321(1), pages 451-467, February.
    5. J. X. Cruz Neto & J. O. Lopes & A. Soubeyran & J. C. O. Souza, 2022. "Abstract regularized equilibria: application to Becker’s household behavior theory," Annals of Operations Research, Springer, vol. 316(2), pages 1279-1300, September.
    6. João Carlos O. Souza & Paulo Roberto Oliveira & Antoine Soubeyran, 2016. "Global convergence of a proximal linearized algorithm for difference of convex functions," Post-Print hal-01440298, HAL.

    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. T. Q. Bao & B. S. Mordukhovich & A. Soubeyran, 2015. "Variational Analysis in Psychological Modeling," Journal of Optimization Theory and Applications, Springer, vol. 164(1), pages 290-315, January.
    2. Marianne Bertrand & Dean S. Karlan & Sendhil Mullainathan & Eldar Shafir & Jonathan Zinman, 2005. "What's Psychology Worth? A Field Experiment in the Consumer Credit Market," Working Papers 918, Economic Growth Center, Yale University.
    3. Kely D. V. Villacorta & Paulo R. Oliveira & Antoine Soubeyran, 2014. "A Trust-Region Method for Unconstrained Multiobjective Problems with Applications in Satisficing Processes," Journal of Optimization Theory and Applications, Springer, vol. 160(3), pages 865-889, March.
    4. Jacobs Martin, 2016. "Accounting for Changing Tastes: Approaches to Explaining Unstable Individual Preferences," Review of Economics, De Gruyter, vol. 67(2), pages 121-183, August.
    5. repec:cup:judgdm:v:16:y:2021:i:6:p:1324-1369 is not listed on IDEAS
    6. Crawford, VP, 2014. "Boundedly rational versus optimization-based models of strategic thinking and learning in games," University of California at San Diego, Economics Working Paper Series qt04h694rz, Department of Economics, UC San Diego.
    7. Bogliacino, Francesco & Codagnone, Cristiano, 2021. "Microfoundations, behaviour, and evolution: Evidence from experiments," Structural Change and Economic Dynamics, Elsevier, vol. 56(C), pages 372-385.
    8. Ralf Elbert & Lowis Seikowsky, 2017. "The influences of behavioral biases, barriers and facilitators on the willingness of forwarders’ decision makers to modal shift from unimodal road freight transport to intermodal road–rail freight tra," Journal of Business Economics, Springer, vol. 87(8), pages 1083-1123, November.
    9. Ben Irons & Cameron Hepburn, 2007. "Regret Theory and the Tyranny of Choice," The Economic Record, The Economic Society of Australia, vol. 83(261), pages 191-203, June.
    10. Mariska van Essen & Tom Thomas & Eric van Berkum & Caspar Chorus, 2020. "Travelers’ compliance with social routing advice: evidence from SP and RP experiments," Transportation, Springer, vol. 47(3), pages 1047-1070, June.
    11. Eddie Dekel & Barton L. Lipman, 2010. "How (Not) to Do Decision Theory," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 257-282, September.
    12. Grüner, S. & Fietz, A., 2014. "Chancen, Grenzen und Barrieren staatlicher Regulierungspolitik – Eine verhaltensökonomische Betrachtung unter Berücksichtigung des individuellen landwirtschaftlichen Unternehmensverhaltens," Proceedings “Schriften der Gesellschaft für Wirtschafts- und Sozialwissenschaften des Landbaues e.V.”, German Association of Agricultural Economists (GEWISOLA), vol. 49, March.
    13. Patricio S. Dalton & Sayantan Ghosal & Anandi Mani, 2016. "Poverty and Aspirations Failure," Economic Journal, Royal Economic Society, vol. 126(590), pages 165-188, February.
    14. repec:cup:judgdm:v:15:y:2020:i:4:p:517-533 is not listed on IDEAS
    15. Eduard Marinov, 2017. "The 2017 Nobel Prize in Economics," Economic Thought journal, Bulgarian Academy of Sciences - Economic Research Institute, issue 6, pages 117-159.
    16. Sudeep Bhatia & Graham Loomes & Daniel Read, 2021. "Establishing the laws of preferential choice behavior," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 16(6), pages 1324-1369, November.
    17. Luc, Dinh The & Soubeyran, Antoine, 2013. "Variable preference relations: Existence of maximal elements," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 251-262.
    18. repec:cup:judgdm:v:12:y:2017:i:3:p:260-279 is not listed on IDEAS
    19. Daniel A. DeCaro & Marci S. DeCaro & Jared M. Hotaling & Joseph G. Johnson, 2020. "Procedural and economic utilities in consequentialist choice: Trading freedom of choice to minimize financial losses," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 15(4), pages 517-533, July.
    20. Otello Ardovino & Jacopo Arpetti & Marco Delmastro, 2019. "Regulating AI: do we need new tools?," Papers 1904.12134, arXiv.org.
    21. Tian, Ye & Li, Yudi & Sun, Jian, 2022. "Stick or carrot for traffic demand management? Evidence from experimental economics," Transportation Research Part A: Policy and Practice, Elsevier, vol. 160(C), pages 235-254.
    22. Đula, Ivan & Größler, Andreas, 2021. "Inequity aversion in dynamically complex supply chains," European Journal of Operational Research, Elsevier, vol. 291(1), pages 309-322.
    23. Delgado, Laura & Shealy, Tripp, 2018. "Opportunities for greater energy efficiency in government facilities by aligning decision structures with advances in behavioral science," Renewable and Sustainable Energy Reviews, Elsevier, vol. 82(P3), pages 3952-3961.

    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:spr:joptap:v:166:y:2015:i:1:d:10.1007_s10957-015-0711-2. 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.