IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v156y2022ics0960077922000078.html
   My bibliography  Save this article

Production delays, technology choice and cyclical cobweb dynamics

Author

Listed:
  • Dieci, Roberto
  • Mignot, Sarah
  • Westerhoff, Frank

Abstract

We develop a cobweb model in which firms, facing a two-period production delay, have access to a flexible (costly) and an inflexible (cheap) production technology. Moreover, firms select between production technologies depending on their evolutionary fitness, measured in terms of past realized profits. The dynamics of our cobweb model is driven by a four-dimensional nonlinear map. We analytically show that its unique steady state may become unstable due to a Neimark-Sacker bifurcation, a scenario that gives rise to cyclical price dynamics, as observed in actual commodity markets. Simulations furthermore reveal that our cobweb model may also produce chaotic motion.

Suggested Citation

  • Dieci, Roberto & Mignot, Sarah & Westerhoff, Frank, 2022. "Production delays, technology choice and cyclical cobweb dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000078
    DOI: 10.1016/j.chaos.2022.111796
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922000078
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.111796?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hommes, Cars & Zeppini, Paolo, 2014. "Innovate or Imitate? Behavioural technological change," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 308-324.
    2. Dieci, Roberto & Westerhoff, Frank, 2010. "Interacting cobweb markets," Journal of Economic Behavior & Organization, Elsevier, vol. 75(3), pages 461-481, September.
    3. Hommes, Cars H., 1991. "Adaptive learning and roads to chaos : The case of the cobweb," Economics Letters, Elsevier, vol. 36(2), pages 127-132, June.
    4. Goeree, Jacob K. & Hommes, Cars H., 2000. "Heterogeneous beliefs and the non-linear cobweb model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 761-798, June.
    5. Hommes, Cars H., 1998. "On the consistency of backward-looking expectations: The case of the cobweb," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 333-362, January.
    6. Chiarella, Carl, 1988. "The cobweb model: Its instability and the onset of chaos," Economic Modelling, Elsevier, vol. 5(4), pages 377-384, October.
    7. Fabio Lamantia & Anghel Negriu & Jan Tuinstra, 2018. "Technology choice in an evolutionary oligopoly game," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 335-356, November.
    8. Hommes,Cars, 2015. "Behavioral Rationality and Heterogeneous Expectations in Complex Economic Systems," Cambridge Books, Cambridge University Press, number 9781107564978, September.
    9. Lasselle, Laurence & Svizzero, Serge & Tisdell, Clem, 2005. "Stability And Cycles In A Cobweb Model With Heterogeneous Expectations," Macroeconomic Dynamics, Cambridge University Press, vol. 9(5), pages 630-650, November.
    10. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
    11. Jensen, Roderick V. & Urban, Robin, 1984. "Chaotic price behavior in a non-linear cobweb model," Economics Letters, Elsevier, vol. 15(3-4), pages 235-240.
    12. Mordecai Ezekiel, 1938. "The Cobweb Theorem," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 52(2), pages 255-280.
    13. Hommes, Cars, 2018. "Carl’s nonlinear cobweb," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 7-20.
    14. J. B. S. Haldane, 1934. "A Contribution to the Theory of Price Fluctuations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 1(3), pages 186-195.
    15. Marc Nerlove, 1958. "Adaptive Expectations and Cobweb Phenomena," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 72(2), pages 227-240.
    16. Nicholas Kaldor, 1934. "A Classificatory Note on the Determinateness of Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 1(2), pages 122-136.
    17. William A. Brock & Cars H. Hommes, 2001. "A Rational Route to Randomness," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 16, pages 402-438, Edward Elgar Publishing.
    18. Akio Matsumoto & Ferenc Szidarovszky, 2015. "The Asymptotic Behavior in a Nonlinear Cobweb Model with Time Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-14, July.
    19. Arnold B. Larson, 1964. "The Hog Cycle as Harmonic Motion," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 46(2), pages 375-386.
    20. Luca Gori & Luca Guerrini & Mauro Sodini, 2014. "Hopf Bifurcation in a Cobweb Model with Discrete Time Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-8, June.
    21. Puu, Tonu & Gardini, Laura & Sushko, Irina, 2005. "A Hicksian multiplier-accelerator model with floor determined by capital stock," Journal of Economic Behavior & Organization, Elsevier, vol. 56(3), pages 331-348, March.
    22. Marji Lines & Noemi Schmitt & Frank Westerhoff, 2020. "Stability conditions for three-dimensional maps and their associated bifurcation types," Applied Economics Letters, Taylor & Francis Journals, vol. 27(13), pages 1056-1060, June.
    23. Schmitt, Noemi & Westerhoff, Frank, 2015. "Managing rational routes to randomness," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 157-173.
    24. Artstein, Zvi, 1983. "Irregular cobweb dynamics," Economics Letters, Elsevier, vol. 11(1-2), pages 15-17.
    25. Mackey, Michael C., 1989. "Commodity price fluctuations: Price dependent delays and nonlinearities as explanatory factors," Journal of Economic Theory, Elsevier, vol. 48(2), pages 497-509, August.
    26. Fausto Cavalli & Ahmad Naimzada & Lucia Parisio, 2021. "Learning in a double-phase cobweb model," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(2), pages 579-611, 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. Dieci, Roberto & Mignot, Sarah & Schmitt, Noemi & Westerhoff, Frank H., 2022. "Production delays, supply distortions and endogenous price dynamics," BERG Working Paper Series 182, Bamberg University, Bamberg Economic Research Group.
    2. Savin, Ivan & Mundt, Philipp, 2022. "Drivers of productivity change in global value chains: Reallocation vs. innovation," Economics Letters, Elsevier, vol. 220(C).
    3. Daske, Thomas & March, Christoph, 2024. "Efficient incentives with social preferences," Theoretical Economics, Econometric Society, vol. 19(3), July.
    4. Sarah Mignot & Fabio Tramontana & Frank Westerhoff, 2024. "Complex dynamics in a nonlinear duopoly model with heuristic expectation formation and learning behavior," Annals of Operations Research, Springer, vol. 337(3), pages 809-834, June.
    5. Sahm, Marco, 2022. "Optimal accuracy of unbiased Tullock contests with two heterogeneous players," BERG Working Paper Series 175, Bamberg University, Bamberg Economic Research Group.
    6. Schmitt, Sefanie Y. & Bruckner, Dominik, 2022. "Unaware consumers and disclosure of deficiencies," BERG Working Paper Series 178, Bamberg University, Bamberg Economic Research Group.

    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. Christophe Gouel, 2012. "Agricultural Price Instability: A Survey Of Competing Explanations And Remedies," Journal of Economic Surveys, Wiley Blackwell, vol. 26(1), pages 129-156, February.
    2. Hommes, Cars & Li, Kai & Wagener, Florian, 2022. "Production delays and price dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 194(C), pages 341-362.
    3. Ahmad Naimzada & Nicolò Pecora & Fabio Tramontana, 2019. "A cobweb model with elements from prospect theory," Journal of Evolutionary Economics, Springer, vol. 29(2), pages 763-778, April.
    4. Tamotsu Onozaki, 2018. "Nonlinearity, Bounded Rationality, and Heterogeneity," Springer Books, Springer, number 978-4-431-54971-0, December.
    5. Luca Gori & Luca Guerrini & Mauro Sodini, 2014. "Hopf Bifurcation in a Cobweb Model with Discrete Time Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-8, June.
    6. Naimzada, Ahmad & Pireddu, Marina, 2020. "Rational expectations (may) lead to complex dynamics in a Muthian cobweb model with heterogeneous agents," Journal of Economic Behavior & Organization, Elsevier, vol. 177(C), pages 415-432.
    7. Chiarella, Carl & He, Xue-Zhong & Hung, Hing & Zhu, Peiyuan, 2006. "An analysis of the cobweb model with boundedly rational heterogeneous producers," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 750-768, December.
    8. Dieci, Roberto & Westerhoff, Frank, 2010. "Interacting cobweb markets," Journal of Economic Behavior & Organization, Elsevier, vol. 75(3), pages 461-481, September.
    9. Hommes, Cars, 2018. "Carl’s nonlinear cobweb," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 7-20.
    10. Schmitt, Noemi & Tuinstra, Jan & Westerhoff, Frank, 2017. "Side effects of nonlinear profit taxes in an evolutionary market entry model: Abrupt changes, coexisting attractors and hysteresis problems," Journal of Economic Behavior & Organization, Elsevier, vol. 135(C), pages 15-38.
    11. Fausto, Cavalli, 2016. "A cobweb model with alternating demand and supply functions," Working Papers 325, University of Milano-Bicocca, Department of Economics, revised 07 Feb 2016.
    12. Tuinstra, Jan & Wegener, Michael & Westerhoff, Frank, 2014. "Positive welfare effects of trade barriers in a dynamic partial equilibrium model," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 246-264.
    13. Cars H. Hommes, 2009. "Bounded Rationality and Learning in Complex Markets," Chapters, in: J. Barkley Rosser Jr. (ed.), Handbook of Research on Complexity, chapter 5, Edward Elgar Publishing.
    14. Troy Tassier, 2013. "Handbook of Research on Complexity, by J. Barkley Rosser, Jr. and Edward Elgar," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 39(1), pages 132-133.
    15. Hommes, Cars H., 1998. "On the consistency of backward-looking expectations: The case of the cobweb," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 333-362, January.
    16. Antonio Doria, Francisco, 2011. "J.B. Rosser Jr. , Handbook of Research on Complexity, Edward Elgar, Cheltenham, UK--Northampton, MA, USA (2009) 436 + viii pp., index, ISBN 978 1 84542 089 5 (cased)," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 196-204, April.
    17. Schmitt, Noemi & Westerhoff, Frank, 2018. "Evolutionary Competition And Profit Taxes: Market Stability Versus Tax Burden," Macroeconomic Dynamics, Cambridge University Press, vol. 22(8), pages 2007-2031, December.
    18. Tuinstra, Jan & Wegener, Michael & Westerhoff, Frank, 2013. "Positive welfare effects of trade barriers in a dynamic equilibrium model," BERG Working Paper Series 91, Bamberg University, Bamberg Economic Research Group.
    19. Chaudhry, Muhammad Imran & Miranda, Mario J., 2018. "Complex price dynamics in vertically linked cobweb markets," Economic Modelling, Elsevier, vol. 72(C), pages 363-378.
    20. Hommes, Cars & van Eekelen, Arno, 1996. "Partial equilibrium analysis in a noisy chaotic market," Economics Letters, Elsevier, vol. 53(3), pages 275-282, December.

    More about this item

    Keywords

    Cobweb models; Production technology; Cyclical price dynamics; Bounded rationality and learning; Stability and bifurcation analysis; Chaos;
    All these keywords.

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • Q11 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Aggregate Supply and Demand Analysis; Prices

    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:eee:chsofr:v:156:y:2022:i:c:s0960077922000078. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.