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Uncertainty and Risk-aversion in a Dynamic Oligopoly with Sticky Prices

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  • Valentini, Edilio
  • Vitale, Paolo

Abstract

In this paper we present a dynamic discrete-time model that allows to investigate the impact of risk-aversion in an oligopoly characterized by a homogeneous non-storable good, sticky prices and uncertainty. Our model nests the classical dynamic oligopoly model with sticky prices by Fershtman and Kamien (Fershtman and Kamien, 1987), which can be viewed as the continuous-time limit of our model with no uncertainty and no risk-aversion. Focusing on the continuous-time limit of the infinite horizon formulation we show that the optimal production strategy and the consequent equilibrium price are, respectively, directly and inversely related to the degrees of uncertainty and risk-aversion. However, the effect of uncertainty and risk-aversion crucially depends on price stickiness since, when prices can adjust instantaneously, the steady state equilibrium in our model with uncertainty and risk aversion collapses to Fershtman and Kamien’s analogue.

Suggested Citation

  • 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).
    • Handle: RePEc:ags:feemth:285025
    DOI: 10.22004/ag.econ.285025
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    1. Mark Bils & Peter J. Klenow, 2004. "Some Evidence on the Importance of Sticky Prices," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 947-985, October.
    2. Dockner, Engelbert J. & Gaunersdorfer, Andrea, 2001. "On the profitability of horizontal mergers in industries with dynamic competition," Japan and the World Economy, Elsevier, vol. 13(3), pages 195-216, August.
    3. Severin Borenstein & Stephen Holland, 2005. "On the Efficiency of Competitive Electricity Markets with Time-Invariant Retail Prices," RAND Journal of Economics, The RAND Corporation, vol. 36(3), pages 469-493, Autumn.
    4. Edilio Valentini & Paolo Vitale, 2019. "Optimal Climate Policy for a Pessimistic Social Planner," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 72(2), pages 411-443, February.
    5. 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.
    6. 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.
    7. 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.
    8. Hassan Benchekroun, 2003. "The closed‐loop effect and the profitability of horizontal mergers," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 36(3), pages 546-565, August.
    9. Agnieszka Wiszniewska-Matyszkiel & Marek Bodnar & Fryderyk Mirota, 2015. "Dynamic Oligopoly with Sticky Prices: Off-Steady-state Analysis," Dynamic Games and Applications, Springer, vol. 5(4), pages 568-598, December.
    10. Turnovsky, Stephen J & Basar, Tamer & d'Orey, Vasco, 1988. "Dynamic Strategic Monetary Policies and Coordination in Interdependent Economies," American Economic Review, American Economic Association, vol. 78(3), pages 341-361, June.
    11. Paolo Vitale, 2017. "Pessimistic Optimal Choice for Risk-Averse Agents: The Continuous-Time Limit," Computational Economics, Springer;Society for Computational Economics, vol. 49(1), pages 17-65, January.
    12. Karp, Larry S & Perloff, Jeffrey M, 1989. "Dynamic Oligopoly in the Rice Export Market," The Review of Economics and Statistics, MIT Press, vol. 71(3), pages 462-470, August.
    13. Piga, Claudio A. G., 2000. "Competition in a duopoly with sticky price and advertising," International Journal of Industrial Organization, Elsevier, vol. 18(4), pages 595-614, May.
    14. Wirl, Franz, 2010. "Dynamic demand and noncompetitive intertemporal output adjustments," International Journal of Industrial Organization, Elsevier, vol. 28(3), pages 220-229, May.
    15. Dockner, Engelbert J. & Haug, Alfred A., 1990. "Tariffs and quotas under dynamic duopolistic competition," Journal of International Economics, Elsevier, vol. 29(1-2), pages 147-159, August.
    16. 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.
    17. Xin, Baogui & Sun, Minghe, 2018. "A differential oligopoly game for optimal production planning and water savings," European Journal of Operational Research, Elsevier, vol. 269(1), pages 206-217.
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    Keywords

    Research Methods/ Statistical Methods;

    JEL classification:

    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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