IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-04141683.html

Cobb-Douglas preferences and pollution in a bilateral oligopoly market

Author

Listed:
  • Anicet Kabre

    (EconomiX - EconomiX - UPN - Université Paris Nanterre - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this note, we introduce pollution and examine its effects in a finite bilateral oligopoly model where agents have asymmetric Cobb-Douglas preferences. We define two strategic equilibria: the Stackelberg-Cournot equilibrium with pollution (SCEP) and the Cournot equilibrium with pollution (CEP). While the supplied quantities of the polluting and the non-polluting good depend on the preferences of all economic agents in the case of symmetric preferences, we show that when preferences are asymmetric, i) at both equilibria, each polluter's equilibrium supply depends only on the non-polluters' preferences for the non-polluting good; ii) at the CEP and the SCEP, the elasticity of the polluters emissions is greater when nonpolluters preferences for the non-polluting good increase, compared to an increase in their own preferences for this good; iii) firm's emissions'elasticity decreases with the market power if their marginal cost is lower than their competitor.

Suggested Citation

  • Anicet Kabre, 2018. "Cobb-Douglas preferences and pollution in a bilateral oligopoly market," Working Papers hal-04141683, HAL.
  • Handle: RePEc:hal:wpaper:hal-04141683
    Note: View the original document on HAL open archive server: https://hal.science/hal-04141683
    as

    Download full text from publisher

    File URL: https://hal.science/hal-04141683/document
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bloch, Francis & Ghosal, Sayantan, 1997. "Stable Trading Structures in Bilateral Oligopolies," Journal of Economic Theory, Elsevier, vol. 74(2), pages 368-384, June.
    2. Dickson, Alex & MacKenzie, Ian A., 2018. "Strategic trade in pollution permits," Journal of Environmental Economics and Management, Elsevier, vol. 87(C), pages 94-113.
    3. Ludovic A. Julien & Fabrice Tricou, 2012. "Market Price Mechanisms And Stackelberg General Equilibria: An Example," Bulletin of Economic Research, Wiley Blackwell, vol. 64(2), pages 239-252, April.
    4. María-Eugenia Sanin & Skerdilajda Zanaj, 2011. "A Note on Clean Technology Adoption and its Influence on Tradeable Emission Permits Prices," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 48(4), pages 561-567, April.
    5. Juan-Pablo Montero, 2009. "Market Power in Pollution Permit Markets," Working Papers 0906, Massachusetts Institute of Technology, Center for Energy and Environmental Policy Research.
    6. Bertrand Crettez & Pierre-André Jouvet & Ludovic A. Julien, 2014. "Tax Policy in a Simple General Oligopoly Equilibrium Model with Pollution Permits," Working Papers 1413, Chaire Economie du climat.
    7. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-968, October.
    8. repec:aen:journl:2009se-climate-change-a06 is not listed on IDEAS
    9. Dickson, Alex & Hartley, Roger, 2008. "The strategic Marshallian cross," Games and Economic Behavior, Elsevier, vol. 64(2), pages 514-532, November.
    10. Misiolek, Walter S. & Elder, Harold W., 1989. "Exclusionary manipulation of markets for pollution rights," Journal of Environmental Economics and Management, Elsevier, vol. 16(2), pages 156-166, March.
    11. repec:aen:journl:1996v17-03-a06 is not listed on IDEAS
    12. Sahi, Siddhartha & Yao, Shuntian, 1989. "The non-cooperative equilibria of a trading economy with complete markets and consistent prices," Journal of Mathematical Economics, Elsevier, vol. 18(4), pages 325-346, September.
    13. Amir, Rabah & Sahi, Siddharta & Shubik, Martin & Yao, Shuntian, 1990. "A strategic market game with complete markets," Journal of Economic Theory, Elsevier, vol. 51(1), pages 126-143, June.
    14. Sanin, Maria-Eugenia & Zanaj, Skerdilajda, 2012. "Clean Technology Adoption Under Cournot Competition," Strategic Behavior and the Environment, now publishers, vol. 2(2), pages 159-172, July.
    15. Bloch, Francis & Ferrer, Helene, 2001. "Strategic complements and substitutes in bilateral oligopolies," Economics Letters, Elsevier, vol. 70(1), pages 83-87, January.
    16. Robert W. Hahn, 1984. "Market Power and Transferable Property Rights," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 99(4), pages 753-765.
    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. Anicet Kabre, 2018. "Cobb-Douglas preferences and pollution in a bilateral oligopoly market," EconomiX Working Papers 2018-48, University of Paris Nanterre, EconomiX.
    2. Ludovic A. Julien & Anicet Kabre & Louis de Mesnard, 2023. "Pollution in strategic multilateral exchange: taxing emissions or trading on permit markets?," Working Papers hal-04159849, HAL.
    3. Ludovic A. Julien, 2017. "Hierarchical Competition and Heterogeneous Behavior in Noncooperative Oligopoly Markets," Post-Print hal-01637298, HAL.
    4. Francesca Busetto & Giulio Codognato & Sayantan Ghosal & Ludovic Julien & Simone Tonin, 2020. "Existence and optimality of Cournot–Nash equilibria in a bilateral oligopoly with atoms and an atomless part," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 933-951, December.
    5. Alex Dickson & Simone Tonin, 2021. "An introduction to perfect and imperfect competition via bilateral oligopoly," Journal of Economics, Springer, vol. 133(2), pages 103-128, July.
    6. Dickson, Alex & MacKenzie, Ian A., 2018. "Strategic trade in pollution permits," Journal of Environmental Economics and Management, Elsevier, vol. 87(C), pages 94-113.
    7. Ludovic A. Julien & Gagnie Pascal Yebarth, 2024. "Pareto-Optimal Taxation Mechanism in Noncooperative Strategic Bilateral Exchange," Working Papers hal-04604299, HAL.
    8. Wang, Xu & Zhang, Xiao-Bing & Zhu, Lei, 2019. "Imperfect market, emissions trading scheme, and technology adoption: A case study of an energy-intensive sector," Energy Economics, Elsevier, vol. 81(C), pages 142-158.
    9. Busetto, Francesca & Codognato, Giulio & Julien, Ludovic, 2020. "Atomic Leontievian Cournotian traders are always Walrasian," Games and Economic Behavior, Elsevier, vol. 122(C), pages 318-327.
    10. Bingxin Zeng & Lei Zhu, 2019. "Market Power and Technology Diffusion in an Energy-Intensive Sector Covered by an Emissions Trading Scheme," Sustainability, MDPI, vol. 11(14), pages 1-18, July.
    11. Gagnie Pascal Yebarth, 2025. "On Taxation Policy in Strategic Bilateral Exchange: A review," EconomiX Working Papers 2025-34, University of Paris Nanterre, EconomiX.
    12. Amir, Rabah & Bloch, Francis, 2009. "Comparative statics in a simple class of strategic market games," Games and Economic Behavior, Elsevier, vol. 65(1), pages 7-24, January.
    13. Wang, Xu & Zhu, Lei & Liu, Pengfei, 2021. "Manipulation via endowments: Quantifying the influence of market power on the emission trading scheme," Energy Economics, Elsevier, vol. 103(C).
    14. Bertrand Crettez & Pierre-André Jouvet & Ludovic A. Julien, 2014. "Tax Policy in a Simple General Oligopoly Equilibrium Model with Pollution Permits," Working Papers 1413, Chaire Economie du climat.
    15. Ludovic A. Julien, 2015. "A note on market power in bilateral oligopoly," Economics Bulletin, AccessEcon, vol. 35(1), pages 400-406.
    16. Busetto, Francesca & Codognato, Giulio & Ghosal, Sayantan, 2012. "Noncooperative Oligopoly in Markets with a Continuum of Traders: A Limit Theorem," The Warwick Economics Research Paper Series (TWERPS) 994, University of Warwick, Department of Economics.
    17. Régis Breton & Bertrand Gobillard, 2005. "Robustness of equilibrium price dispersion in finite market games," Post-Print halshs-00257207, HAL.
    18. Dubey, Pradeep & Sahi, Siddhartha, 2003. "Price-mediated trade with quantity signals: an axiomatic approach," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 377-389, July.
    19. GABSZEWICZ, Jean & GRAZZINI, Lisa, 2000. "Strategic multilateral exchange and taxes," LIDAM Discussion Papers CORE 2000063, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    20. M. Lombardi & S. Tonin, 2020. "On trade in bilateral oligopolies with altruistic and spiteful agents," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 203-218, October.

    More about this item

    Keywords

    ;
    ;
    ;

    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:hal:wpaper:hal-04141683. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.