IDEAS home Printed from https://ideas.repec.org/a/spr/cejnor/v32y2024i2d10.1007_s10100-023-00860-6.html
   My bibliography  Save this article

Dynamic demand and noncompetitive intertemporal output adjustments: correction and extension

Author

Listed:
  • Franz Wirl

    (University of Vienna)

Abstract

While hundreds of papers study the strategic interactions of oligopolists facing sticky prices only very few treat the in my opinion more important and opposite case of sticky or sluggish demand and supply, e.g., for energy. This point was taken up in Wirl (Int J Ind Organ 28:220–229, 2010) but unfortunately, the computation of the linear Markov perfect equilibrium is wrong. The situation in energy markets following Russia’s invasion of Ukraine adds a topical element to the theoretical analysis. Application to the oil market suggests that the difference between collusion and oligopolistic competition among few (symmetric) players is small for Markov perfect linear eqilibria. This is in stark contrast to the outcome in open loop strategies.

Suggested Citation

  • Franz Wirl, 2024. "Dynamic demand and noncompetitive intertemporal output adjustments: correction and extension," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 32(2), pages 483-505, June.
    • Handle: RePEc:spr:cejnor:v:32:y:2024:i:2:d:10.1007_s10100-023-00860-6
    DOI: 10.1007/s10100-023-00860-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10100-023-00860-6
    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/s10100-023-00860-6?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 Rauscher, 1992. "Cartel instability and periodic price shocks," Journal of Economics, Springer, vol. 55(2), pages 209-219, June.
    2. Lockwood, Ben, 1996. "Uniqueness of Markov-perfect equilibrium in infinite-time affine-quadratic differential games," Journal of Economic Dynamics and Control, Elsevier, vol. 20(5), pages 751-765, May.
    3. Tsutsui, Shunichi & Mino, Kazuo, 1990. "Nonlinear strategies in dynamic duopolistic competition with sticky prices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 136-161, October.
    4. James L. Smith, 2005. "Inscrutable OPEC? Behavioral Tests of the Cartel Hypothesis," The Energy Journal, , vol. 26(1), pages 51-82, January.
    5. Reynolds, Stanley S., 1991. "Dynamic oligopoly with capacity adjustment costs," Journal of Economic Dynamics and Control, Elsevier, vol. 15(3), pages 491-514, July.
    6. Hogan, William W., 1989. "A dynamic putty--semi-putty model of aggregate energy demand," Energy Economics, Elsevier, vol. 11(1), pages 53-69, January.
    7. Wirl, Franz, 2010. "Dynamic demand and noncompetitive intertemporal output adjustments," International Journal of Industrial Organization, Elsevier, vol. 28(3), pages 220-229, May.
    8. James D. Hamilton, 2009. "Understanding Crude Oil Prices," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 179-206.
    9. John T. Cuddington & Leila Dagher, 2015. "Estimating Short and Long-Run Demand Elasticities: A Primer with Energy-Sector Applications," The Energy Journal, , vol. 36(1), pages 185-210, January.
    10. Lambertini,Luca, 2018. "Differential Games in Industrial Economics," Cambridge Books, Cambridge University Press, number 9781107164680, December.
    11. Lutz Kilian, 2009. "Not All Oil Price Shocks Are Alike: Disentangling Demand and Supply Shocks in the Crude Oil Market," American Economic Review, American Economic Association, vol. 99(3), pages 1053-1069, June.
    12. Wirl, Franz, 2015. "Output adjusting cartels facing dynamic, convex demand under uncertainty: The case of OPEC," Economic Modelling, Elsevier, vol. 44(C), pages 307-316.
    13. Radner, Roy & Richardson, Thomas J., 2003. "Monopolists and viscous demand," Games and Economic Behavior, Elsevier, vol. 45(2), pages 442-464, November.
    14. Robert S. Pindyck, 1979. "The Structure of World Energy Demand," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262661772, December.
    15. James D. Hamilton, 2009. "Understanding Crude Oil Prices," The Energy Journal, , vol. 30(2), pages 179-206, April.
    16. Pindyck, Robert S, 1978. "Gains to Producers from the Cartelization of Exhaustible Resources," The Review of Economics and Statistics, MIT Press, vol. 60(2), pages 238-251, May.
    17. Mason, Charles F. & Polasky, Stephen, 2005. "What motivates membership in non-renewable resource cartels?: The case of OPEC," Resource and Energy Economics, Elsevier, vol. 27(4), pages 321-342, November.
    18. Griffin, James M, 1985. "OPEC Behavior: A Test of Alternative Hypotheses," American Economic Review, American Economic Association, vol. 75(5), pages 954-963, December.
    19. Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-1164, September.
    20. Dockner, Engelbert, 1988. "On the relation between dynamic oligopolistic competition and long-run competitive equilibrimn," European Journal of Political Economy, Elsevier, vol. 4(1), pages 47-64.
    21. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, December.
    22. Reynolds, Stanley S, 1987. "Capacity Investment, Preemption and Commitment in an Infinite Horizon Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(1), pages 69-88, February.
    23. Jun, Byoung & Vives, Xavier, 2004. "Strategic incentives in dynamic duopoly," Journal of Economic Theory, Elsevier, vol. 116(2), pages 249-281, June.
    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. Herbert Dawid & Karl F. Doerner & Gustav Feichtinger & Margaretha Gansterer & Peter M. Kort & Andrea Seidl, 2024. "Advances in applied optimal control and combinatorial optimization: special isssue in honor of Richard F. Hartl," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 32(2), pages 177-182, June.
    2. Herbert Dawid & Karl F. Doerner & Gustav Feichtinger & Margaretha Gansterer & Peter M. Kort & Andrea Seidl, 2024. "Advances in applied optimal control and combinatorial optimization: special isssue in honor of Richard F. Hartl," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 32(2), pages 177-182, June.

    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. Wirl, Franz, 2015. "Output adjusting cartels facing dynamic, convex demand under uncertainty: The case of OPEC," Economic Modelling, Elsevier, vol. 44(C), pages 307-316.
    2. Wirl, Franz, 2010. "Dynamic demand and noncompetitive intertemporal output adjustments," International Journal of Industrial Organization, Elsevier, vol. 28(3), pages 220-229, May.
    3. Wirl, Franz, 2009. "OPEC as a political and economical entity," European Journal of Political Economy, Elsevier, vol. 25(4), pages 399-408, December.
    4. Colombo, Luca & Labrecciosa, Paola, 2015. "On the Markovian efficiency of Bertrand and Cournot equilibria," Journal of Economic Theory, Elsevier, vol. 155(C), pages 332-358.
    5. Caputo, Michael R. & Ling, Chen, 2013. "The intrinsic comparative dynamics of locally differentiable feedback Nash equilibria of autonomous and exponentially discounted infinite horizon differential games," Journal of Economic Dynamics and Control, Elsevier, vol. 37(10), pages 1982-1994.
    6. Güntner, Jochen H.F., 2014. "How do oil producers respond to oil demand shocks?," Energy Economics, Elsevier, vol. 44(C), pages 1-13.
    7. Golombek, Rolf & Irarrazabal, Alfonso A. & Ma, Lin, 2018. "OPEC's market power: An empirical dominant firm model for the oil market," Energy Economics, Elsevier, vol. 70(C), pages 98-115.
    8. Lambertini, Luca & Mantovani, Andrea, 2014. "Feedback equilibria in a dynamic renewable resource oligopoly: Pre-emption, voracity and exhaustion," Journal of Economic Dynamics and Control, Elsevier, vol. 47(C), pages 115-122.
    9. Santiago J. Rubio, 2002. "On The Coincidence Of The Feedback Nash And Stackelberg Equilibria In Economic Applications Of Differential Games," Working Papers. Serie AD 2002-11, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    10. Kaushik Ranjan Bandyopadhyay, 2022. "Oil and Gas Markets and COVID-19: A Critical Rumination on Drivers, Triggers, and Volatility," Energies, MDPI, vol. 15(8), pages 1-21, April.
    11. Tasneem, Dina & Engle-Warnick, Jim & Benchekroun, Hassan, 2017. "An experimental study of a common property renewable resource game in continuous time," Journal of Economic Behavior & Organization, Elsevier, vol. 140(C), pages 91-119.
    12. Eigruber, Markus & Wirl, Franz, 2024. "Market equilibrium strategies under learning by doing and spillovers," Energy Economics, Elsevier, vol. 131(C).
    13. Colombo, Luca & Labrecciosa, Paola, 2013. "On the convergence to the Cournot equilibrium in a productive asset oligopoly," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 441-445.
    14. Guillermo Caruana & Liran Einav, 2008. "Production targets," RAND Journal of Economics, RAND Corporation, vol. 39(4), pages 990-1017, December.
    15. Soren T. Anderson & Ryan Kellogg & Stephen W. Salant, 2018. "Hotelling under Pressure," Journal of Political Economy, University of Chicago Press, vol. 126(3), pages 984-1026.
    16. Vernasca, Gianluigi, 2003. "Dynamic Price Competition With Price Adjustment Costs And Product Differentiation," The Warwick Economics Research Paper Series (TWERPS) 681, University of Warwick, Department of Economics.
    17. Charalambos Christou, 2015. "A model of dynamic competition with sticky prices," Discussion Paper Series 2015_05, Department of Economics, University of Macedonia, revised Nov 2015.
    18. Luca Lambertini, 2016. "Managerial Delegation in a Dynamic Renewable Resource Oligopoly," Dynamic Modeling and Econometrics in Economics and Finance, in: Herbert Dawid & Karl F. Doerner & Gustav Feichtinger & Peter M. Kort & Andrea Seidl (ed.), Dynamic Perspectives on Managerial Decision Making, pages 93-107, Springer.
    19. Berthod, Mathias & Benchekroun, Hassan, 2019. "On agreements in a nonrenewable resource market: A cooperative differential game approach," Journal of Economic Dynamics and Control, Elsevier, vol. 98(C), pages 23-39.
    20. Wirl, Franz, 2008. "Why do oil prices jump (or fall)?," Energy Policy, Elsevier, vol. 36(3), pages 1029-1043, March.

    More about this item

    Keywords

    Dynamic demand; Costly output adjustments; Differential game; Multiple linear Markov perfect equilibria;
    All these keywords.

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

    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:spr:cejnor:v:32:y:2024:i:2:d:10.1007_s10100-023-00860-6. 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.