IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i4p1029-d1072547.html
   My bibliography  Save this article

Credibilistic Cournot Game with Risk Aversion under a Fuzzy Environment

Author

Listed:
  • Zhongwei Feng

    (School of Business Administration, Henan Polytechnic University, Jiaozuo 454000, China)

  • Yan Ma

    (School of Business Administration, Henan Polytechnic University, Jiaozuo 454000, China)

  • Yuzhong Yang

    (School of Energy Science and Engineering, Henan Polytechnic University, Jiaozuo 454000, China)

Abstract

The classic Cournot game ignores the influence of the players’ psychological behavior on the decision and cannot deal with the game problem of fuzzy information. To address such game situations, a credibilistic Cournot game is developed, where the optimistic value criterion derived from credibility theory is used to describe risk-averse behavior of manufacturers and the associated parameters are characterized by fuzzy variables. Then, a concept of the ( α 1 , α 2 )-optimistic equilibrium quantity is proposed and its uniqueness is shown. Finally, the relevant results of the credibilistic Cournot game are applied to an example to illustrate the availability of our model, and a sensitivity analysis of the relationship between the ( α 1 , α 2 )-optimistic equilibrium quantity and confidence levels is performed. The results show that manufacturers’ ( α 1 , α 2 )-optimistic equilibrium quantity is positively related to the risk aversion level of their competitors and negatively to their own risk aversion level.

Suggested Citation

  • Zhongwei Feng & Yan Ma & Yuzhong Yang, 2023. "Credibilistic Cournot Game with Risk Aversion under a Fuzzy Environment," Mathematics, MDPI, vol. 11(4), pages 1-18, February.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:1029-:d:1072547
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/4/1029/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/4/1029/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ouyang, Liang-Yuh & Chang, Hung-Chi, 2002. "A minimax distribution free procedure for mixed inventory models involving variable lead time with fuzzy lost sales," International Journal of Production Economics, Elsevier, vol. 76(1), pages 1-12, March.
    2. Volij, Oscar & Winter, Eyal, 2002. "On risk aversion and bargaining outcomes," Games and Economic Behavior, Elsevier, vol. 41(1), pages 120-140, October.
    3. Engelmann, Dirk & Steiner, Jakub, 2007. "The effects of risk preferences in mixed-strategy equilibria of 2x2 games," Games and Economic Behavior, Elsevier, vol. 60(2), pages 381-388, August.
    4. Jonathan Shalev, 2002. "Loss Aversion and Bargaining," Theory and Decision, Springer, vol. 52(3), pages 201-232, May.
    5. Driesen, Bram & Perea, Andrés & Peters, Hans, 2012. "Alternating offers bargaining with loss aversion," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 103-118.
    6. Henner Gimpel, 2007. "Loss Aversion and Reference-Dependent Preferences in Multi-Attribute Negotiations," Group Decision and Negotiation, Springer, vol. 16(4), pages 303-319, July.
    7. Maria Montero, 2008. "Altruism, Spite and Competition in Bargaining Games," Theory and Decision, Springer, vol. 65(2), pages 125-151, September.
    8. Kawamori, Tomohiko, 2019. "Bilateral bargaining with endogenous status quo," Economics Letters, Elsevier, vol. 185(C).
    9. Wu, Kweimei & Yao, Jing-Shing, 2003. "Fuzzy inventory with backorder for fuzzy order quantity and fuzzy shortage quantity," European Journal of Operational Research, Elsevier, vol. 150(2), pages 320-352, October.
    10. Kyle Hyndman, 2011. "Repeated bargaining with reference-dependent preferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 527-549, August.
    11. Goeree, Jacob K. & Holt, Charles A. & Palfrey, Thomas R., 2003. "Risk averse behavior in generalized matching pennies games," Games and Economic Behavior, Elsevier, vol. 45(1), pages 97-113, October.
    12. Zhongwei Feng & Chunqiao Tan & Jinchun Zhang & Qiang Zeng, 2021. "Bargaining Game with Altruistic and Spiteful Preferences," Group Decision and Negotiation, Springer, vol. 30(2), pages 277-300, April.
    13. Li, Duozhe, 2007. "Bargaining with history-dependent preferences," Journal of Economic Theory, Elsevier, vol. 136(1), pages 695-708, September.
    14. Sabater-Grande, Gerardo & Georgantzis, Nikolaos, 2002. "Accounting for risk aversion in repeated prisoners' dilemma games: an experimental test," Journal of Economic Behavior & Organization, Elsevier, vol. 48(1), pages 37-50, May.
    15. Henner Gimpel, 2007. "Preferences in Negotiations," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-72338-7, October.
    16. Zhongwei Feng & Chunqiao Tan, 2019. "Subgame Perfect Equilibrium in the Rubinstein Bargaining Game with Loss Aversion," Complexity, Hindawi, vol. 2019, pages 1-23, March.
    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. Zhongwei Feng & Chunqiao Tan & Jinchun Zhang & Qiang Zeng, 2021. "Bargaining Game with Altruistic and Spiteful Preferences," Group Decision and Negotiation, Springer, vol. 30(2), pages 277-300, April.
    2. Tarık Kara & Emin Karagözoğlu & Elif Özcan-Tok, 2021. "Bargaining, Reference Points, and Limited Influence," Dynamic Games and Applications, Springer, vol. 11(2), pages 326-362, June.
    3. Khan, Abhimanyu, 2022. "Expected utility versus cumulative prospect theory in an evolutionary model of bargaining," Journal of Economic Dynamics and Control, Elsevier, vol. 137(C).
    4. Zhongwei Feng & Chunqiao Tan, 2019. "Subgame Perfect Equilibrium in the Rubinstein Bargaining Game with Loss Aversion," Complexity, Hindawi, vol. 2019, pages 1-23, March.
    5. Zhaoyu Cao & Yucheng Zou & Xu Zhao & Kairong Hong & Yanwei Zhang, 2021. "Multidimensional Fairness Equilibrium Evaluation of Urban Housing Expropriation Compensation Based on VIKOR," Mathematics, MDPI, vol. 9(4), pages 1-26, February.
    6. Karagözoğlu, Emin & Keskin, Kerim, 2024. "Consideration sets and reference points in a dynamic bargaining game," Journal of Economic Behavior & Organization, Elsevier, vol. 219(C), pages 381-403.
    7. Driesen, Bram & Perea, Andrés & Peters, Hans, 2012. "Alternating offers bargaining with loss aversion," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 103-118.
    8. Emin Karagözoğlu & Kerim Keskin, 2018. "Endogenous reference points in bargaining," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(2), pages 283-295, October.
    9. Zhaoyu Cao & Xu Zhao & Yucheng Zou & Kairong Hong & Yanwei Zhang, 2021. "Multidimensional Fair Fuzzy Equilibrium Evaluation of Housing Expropriation Compensation from the Perspective of Behavioral Preference: A Case Study from China," Mathematics, MDPI, vol. 9(6), pages 1-22, March.
    10. Kohler, Stefan, 2012. "Envy can promote more equal division in alternating-offer bargaining," MPRA Paper 40761, University Library of Munich, Germany.
    11. Husnain Fateh Ahmad, 2020. "Self serving reference points in k−double auctions," Bulletin of Economic Research, Wiley Blackwell, vol. 72(1), pages 77-85, January.
    12. Hopfensitz, Astrid, 2009. "Previous outcomes and reference dependence: A meta study of repeated investment tasks with and without restricted feedback," MPRA Paper 16096, University Library of Munich, Germany.
    13. Chunsheng Cui & Zhongwei Feng & Chunqiao Tan, 2018. "Credibilistic Loss Aversion Nash Equilibrium for Bimatrix Games with Triangular Fuzzy Payoffs," Complexity, Hindawi, vol. 2018, pages 1-16, December.
    14. Emin Karagözoğlu & Kerim Keskin, 2015. "A Tale of Two Bargaining Solutions," Games, MDPI, vol. 6(2), pages 1-14, June.
    15. Tamás Csermely & Alexander Rabas, 2016. "How to reveal people’s preferences: Comparing time consistency and predictive power of multiple price list risk elicitation methods," Journal of Risk and Uncertainty, Springer, vol. 53(2), pages 107-136, December.
    16. Breitmoser, Yves & Tan, Jonathan H.W., 2010. "Generosity in bargaining: Fair or fear?," MPRA Paper 27444, University Library of Munich, Germany.
    17. Tetsuo Yamamori & Kazuyuki Iwata, 2019. "Endogenous Social Preferences in Bargaining and Contract Enforcement," Working Papers e134, Tokyo Center for Economic Research.
    18. Wentao Yi & Zhongwei Feng & Chunqiao Tan & Yuzhong Yang, 2021. "Green Supply Chain Management with Nash Bargaining Loss-Averse Reference Dependence," Mathematics, MDPI, vol. 9(24), pages 1-26, December.
    19. Swee-Hoon Chuah & Robert Hoffmann & Jeremy Larner, 2011. "Escalation Bargaining: Theoretical Analysis and Experimental Test," Discussion Papers 2011-05, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    20. Amira Galin, 2013. "Endowment Effect in negotiations: group versus individual decision-making," Theory and Decision, Springer, vol. 75(3), pages 389-401, September.

    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:gam:jmathe:v:11:y:2023:i:4:p:1029-:d:1072547. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.