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Hurwicz’s criterion and the equilibria of duopoly models

Author

Listed:
  • A. Zapata

    (University of Seville)

  • M. A. Caraballo

    (University of Seville)

  • L. Monroy

    (University of Seville)

  • A. M. Mármol

    (University of Seville)

Abstract

In this paper we investigate a model of duopolistic competition in an uncertain environment where the attitudes of the firms towards uncertainty are incorporated. In particular, we analyze an extension of a Cournot duopoly in which the firms face a different market demand in each of two scenarios, and make their output decisions before uncertainty is resolved. The way in which firms value the possible outcomes is critical when deciding their strategies. In real-life situations the attitudes that agents exhibit can vary from extreme pessimism to extreme optimism, and it is possible to characterize their behavior according to their degrees of optimism. In this context, we identify the sets of equilibria for the full range of degrees of optimism, and illustrate the results with the analysis of some cases in which the demand functions are linear.

Suggested Citation

  • A. Zapata & M. A. Caraballo & L. Monroy & A. M. Mármol, 2019. "Hurwicz’s criterion and the equilibria of duopoly models," 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. 27(4), pages 937-952, December.
    • Handle: RePEc:spr:cejnor:v:27:y:2019:i:4:d:10.1007_s10100-017-0517-4
    DOI: 10.1007/s10100-017-0517-4
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    References listed on IDEAS

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    1. Giovanni Paolo Crespi & Davide Radi & Matteo Rocca, 2017. "Robust games: theory and application to a Cournot duopoly model," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 177-198, November.
    2. Sophie Bade, 2005. "Nash equilibrium in games with incomplete preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 309-332, August.
    3. Helena Gaspars-Wieloch, 2017. "Newsvendor problem under complete uncertainty: a case of innovative products," 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. 25(3), pages 561-585, September.
    4. M. Caraballo & A. Mármol & L. Monroy & E. Buitrago, 2015. "Cournot competition under uncertainty: conservative and optimistic equilibria," Review of Economic Design, Springer;Society for Economic Design, vol. 19(2), pages 145-165, June.
    5. Fulvio Fontini, 2005. "Cournot Oligopoly Under Strategic Uncertainty With Optimistic And Pessimistic Firms," Metroeconomica, Wiley Blackwell, vol. 56(3), pages 318-333, July.
    6. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
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    Cited by:

    1. Josefa Mula & Marija Bogataj, 2021. "OR in the industrial engineering of Industry 4.0: experiences from the Iberian Peninsula mirrored in CJOR," 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. 29(4), pages 1163-1184, December.

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    More about this item

    Keywords

    Duopoly; Equilibria; Demand uncertainty; Degree of optimism;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • L10 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - General

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