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Some Examples of Dynamic Cournot Duopoly with Inventory

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  • Larry Arvan

Abstract

This article analyzes a two-period game where firms can produce inventory in the first period for sale in the second period. We assume that revenues and costs are time invariant and that the firms are symmetric. We focus on the nature and the existence of the subgame perfect equilibrium of this model. We use examples to show that the Nash value functions defined on the joint inventory vector are likely to be ill-behaved. In particular, they need not be concave nor even continuous in the firm's own inventory. As a result, asymmetric equilibrium is possible. When average production costs are falling, single-firm operation can occur in equilibrium. Nonexistence is also a distinct possibility.

Suggested Citation

  • Larry Arvan, 1985. "Some Examples of Dynamic Cournot Duopoly with Inventory," RAND Journal of Economics, The RAND Corporation, vol. 16(4), pages 569-578, Winter.
    • Handle: RePEc:rje:randje:v:16:y:1985:i:winter:p:569-578
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    Cited by:

    1. Lenhard, Severin, 2022. "Imperfect Competition with Costly Disposal," VfS Annual Conference 2022 (Basel): Big Data in Economics 264038, Verein für Socialpolitik / German Economic Association.
    2. Xiaowei Hu & Jaejin Jang & Nabeel Hamoud & Amirsaman Bajgiran, 2021. "Strategic Inventories in a Supply Chain with Downstream Cournot Duopoly," Papers 2109.06995, arXiv.org, revised Jan 2022.
    3. Breton, Michèle & Kharbach, Mohammed, 2008. "The welfare effects of unbundling gas storage and distribution," Energy Economics, Elsevier, vol. 30(3), pages 732-747, May.
    4. Kurt Annen, 2016. "Do Firms Sell What They Produce or Produce What They Sell?," Working Papers 1606, University of Guelph, Department of Economics and Finance.
    5. Fabio Antoniou & Raffaele Fiocco, 2019. "Strategic inventories under limited commitment," RAND Journal of Economics, RAND Corporation, vol. 50(3), pages 695-729, September.
    6. Sébastien Mitraille & Michel Moreaux, 2013. "Inventories and Endogenous Stackelberg Leadership in Two‐Period Cournot Oligopoly," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 22(4), pages 852-874, December.
    7. Mitraille, Sébastien & Thille, Henry, 2014. "Speculative storage in imperfectly competitive markets," International Journal of Industrial Organization, Elsevier, vol. 35(C), pages 44-59.
    8. Kurt Annen, 2019. "On the first mover advantage in Stackelberg quantity games," Journal of Economics, Springer, vol. 126(3), pages 249-258, April.
    9. Arnold, Lutz G. & Arnold, Volker, 2024. "Energy imports and manufacturing exports with successive oligopolies and storage," Energy Economics, Elsevier, vol. 133(C).
    10. Cooper, Russell & Haltiwanger, John, 1990. "Inventories and the Propagation of Sectoral Shocks," American Economic Review, American Economic Association, vol. 80(1), pages 170-190, March.
    11. Lenhard, Severin, 2022. "Imperfect competition with costly disposal," International Journal of Industrial Organization, Elsevier, vol. 82(C).
    12. repec:lic:licosd:43022 is not listed on IDEAS
    13. Edmond Baranes & François Mirabel & Jean-Christophe Poudou, 2007. "Concurrence et stockage stratégique sur le marché gazier," Economie & Prévision, La Documentation Française, vol. 0(2), pages 25-40.
    14. Chavas, Jean-Paul, 2006. "On Storage Behavior Under Imperfect Competition," Working Papers 201527, University of Wisconsin-Madison, Department of Agricultural and Applied Economics, Food System Research Group.
    15. Baranes, Edmond & Mirabel, François & Poudou, Jean-Christophe, 2014. "Access to natural gas storage facilities: Strategic and regulation issues," Energy Economics, Elsevier, vol. 41(C), pages 19-32.
    16. Jean-Paul Chavas, 2008. "On Storage Behavior Under Imperfect Competition, with Application to the American Cheese Market," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 33(4), pages 325-339, December.
    17. Laure Durand-Viel, 2007. "Strategic Storage and Market Power in the Natural Gas Market," Energy and Environmental Modeling 2007 24000013, EcoMod.
    18. Severin Lenhard, 2021. "Imperfect Competition with Costly Disposal," Diskussionsschriften dp2105, Universitaet Bern, Departement Volkswirtschaft.
    19. Thille, Henry, 2006. "Inventories, market structure, and price volatility," Journal of Economic Dynamics and Control, Elsevier, vol. 30(7), pages 1081-1104, July.

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