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Dynamic demand and noncompetitive intertemporal output adjustments

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  • Wirl, Franz

Abstract

This paper integrates dynamics on the demand and on the supply side, which are characteristic for many goods, in particular fuels, due to costly adjustments. Furthermore, firms often pursue a quantity strategy and decide on output adjustments, additional capacities, etc. instead of fixing prices, e.g., OPEC moved from posting prices to adjusting output in 1986. This paper provides a corresponding framework (surprisingly ignored in the literature) and derives intertemporal market equilibria: cooperative, and noncooperative in open loop and in Markov strategies. The equilibrium in Markov strategies is different, mostly opposite to the much discussed sticky price models, the qualitative properties are non-trivial and some of them are even surprising, e.g., increased demand sluggishness can raise supply.

Suggested Citation

  • Wirl, Franz, 2010. "Dynamic demand and noncompetitive intertemporal output adjustments," International Journal of Industrial Organization, Elsevier, vol. 28(3), pages 220-229, May.
  • Handle: RePEc:eee:indorg:v:28:y:2010:i:3:p:220-229
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    1. Karp, Larry S. & Perloff, Jeffrey M., 1993. "Open-loop and feedback models of dynamic oligopoly," International Journal of Industrial Organization, Elsevier, vol. 11(3), pages 369-389, September.
    2. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-681, September.
    3. Bolle, Friedel, 1986. "On the Oligopolistic Extraction of Non-renewable Common-Pool Resources," Economica, London School of Economics and Political Science, vol. 53(212), pages 519-527, November.
    4. Tsutsui, Shunichi O., 1996. "Capacity constraints and voluntary output cutback in dynamic Cournot competition," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1683-1708.
    5. Zhao, Jijun & Szidarovszky, Ferenc, 2008. "N-firm oligopolies with production adjustment costs: Best responses and equilibrium," Journal of Economic Behavior & Organization, Elsevier, vol. 68(1), pages 87-99, October.
    6. 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.
    7. Robert S. Pindyck, 1979. "The Structure of World Energy Demand," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262661772, December.
    8. Lambertini, Luca & Mantovani, Andrea, 2006. "Identifying reaction functions in differential oligopoly games," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 252-271, December.
    9. Reynolds, Stanley S., 1991. "Dynamic oligopoly with capacity adjustment costs," Journal of Economic Dynamics and Control, Elsevier, vol. 15(3), pages 491-514, July.
    10. Hyndman, Kyle, 2008. "Disagreement in bargaining: An empirical analysis of OPEC," International Journal of Industrial Organization, Elsevier, vol. 26(3), pages 811-828, May.
    11. Hogan, William W., 1989. "A dynamic putty--semi-putty model of aggregate energy demand," Energy Economics, Elsevier, vol. 11(1), pages 53-69, January.
    12. Fudenberg, Drew & Tirole, Jean, 1984. "The Fat-Cat Effect, the Puppy-Dog Ploy, and the Lean and Hungry Look," American Economic Review, American Economic Association, vol. 74(2), pages 361-366, May.
    13. Karp, Larry, 1992. "Social Welfare in a Common Property Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(2), pages 353-372, May.
    14. Dockner Engelbert J. & Van Long Ngo, 1993. "International Pollution Control: Cooperative versus Noncooperative Strategies," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 13-29, July.
    15. Felipe L. Aguerrevere, 2003. "Equilibrium Investment Strategies and Output Price Behavior: A Real-Options Approach," Review of Financial Studies, Society for Financial Studies, vol. 16(4), pages 1239-1272.
    16. Wirl, Franz, 1996. "Dynamic voluntary provision of public goods: Extension to nonlinear strategies," European Journal of Political Economy, Elsevier, vol. 12(3), pages 555-560, November.
    17. Ramanathan, R., 1999. "Short- and long-run elasticities of gasoline demand in India: An empirical analysis using cointegration techniques," Energy Economics, Elsevier, vol. 21(4), pages 321-330, August.
    18. 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.
    19. Wirl, Franz & Feichtinger, Gustav, 2002. "Intrafamiliar Consumption and Saving under Altruism and Wealth Considerations," Economica, London School of Economics and Political Science, vol. 69(273), pages 93-111, February.
    20. Dockner, Engelbert J, 1992. "A Dynamic Theory of Conjectural Variations," Journal of Industrial Economics, Wiley Blackwell, vol. 40(4), pages 377-395, December.
    21. R. Cellini & L. Lambertini, 2008. "Weak and Strong Time Consistency in a Differential Oligopoly Game with Capital Accumulation," Journal of Optimization Theory and Applications, Springer, vol. 138(1), pages 17-26, July.
    22. Wirl, Franz, 2007. "Do multiple Nash equilibria in Markov strategies mitigate the tragedy of the commons?," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3723-3740, November.
    23. R. F. Hartl & P. M. Kort & G. Feichtinger & F. Wirl, 2004. "Multiple Equilibria and Thresholds Due to Relative Investment Costs," Journal of Optimization Theory and Applications, Springer, vol. 123(1), pages 49-82, October.
    24. David J. Salant & Glenn A. Woroch, 1992. "Trigger Price Regulation," RAND Journal of Economics, The RAND Corporation, vol. 23(1), pages 29-51, Spring.
    25. Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-1164, September.
    26. Driskill, Robert A. & McCafferty, Stephen, 1989. "Dynamic duopoly with adjustment costs: A differential game approach," Journal of Economic Theory, Elsevier, vol. 49(2), pages 324-338, December.
    27. 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.
    28. Salant, Stephen W, 1976. "Exhaustible Resources and Industrial Structure: A Nash-Cournot Approach to the World Oil Market," Journal of Political Economy, University of Chicago Press, vol. 84(5), pages 1079-1093, October.
    29. Salo, Seppo & Tahvonen, Olli, 2001. "Oligopoly equilibria in nonrenewable resource markets," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 671-702, May.
    30. 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.
    31. 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.
    32. Alves, Denisard C. O. & De Losso da Silveira Bueno, Rodrigo, 2003. "Short-run, long-run and cross elasticities of gasoline demand in Brazil," Energy Economics, Elsevier, vol. 25(2), pages 191-199, March.
    33. Lapham, Beverly & Ware, Roger, 1994. "Markov puppy dogs and related animals," International Journal of Industrial Organization, Elsevier, vol. 12(4), pages 569-593, December.
    34. Radner, Roy & Richardson, Thomas J., 2003. "Monopolists and viscous demand," Games and Economic Behavior, Elsevier, vol. 45(2), pages 442-464, November.
    35. Jun, Byoung & Vives, Xavier, 2004. "Strategic incentives in dynamic duopoly," Journal of Economic Theory, Elsevier, vol. 116(2), pages 249-281, June.
    36. Wirl, Franz, 1991. "Energy demand and consumer price expectations : An empirical investigation of the consequences from the recent oil price collapse," Resources and Energy, Elsevier, vol. 13(3), pages 241-262, September.
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    Cited by:

    1. 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.
    2. Valentini, Edilio & Vitale, Paolo, 2019. "Uncertainty and Risk-aversion in a Dynamic Oligopoly with Sticky Prices," ETA: Economic Theory and Applications 285025, Fondazione Eni Enrico Mattei (FEEM).
    3. 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.
    4. Vatter, Marc H., 2017. "OPEC's kinked demand curve," Energy Economics, Elsevier, vol. 63(C), pages 272-287.
    5. Colombo, Luca & Labrecciosa, Paola, 2013. "Oligopoly exploitation of a private property productive asset," Journal of Economic Dynamics and Control, Elsevier, vol. 37(4), pages 838-853.
    6. 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.

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