IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i7p1114-d380981.html
   My bibliography  Save this article

Antagonistic One-To-N Stochastic Duel Game

Author

Listed:
  • Song-Kyoo (Amang) Kim

    (School of Applied Sciences, Macao Polytechnic Institute, Macao
    R. de Luis Gonzaga Gomes, Macao.)

Abstract

This paper is dealing with a multiple person game model under the antagonistic duel type setup. The unique multiple person duel game with the one-shooting-to-kill-all condition is analytically solved and the explicit formulas are obtained to determine the time dependent duel game model by using the first exceed theory. The model could be directly applied into real-world situations and an analogue of the theory in the paper is designed for solving the best shooting time for hitting all other players at once which optimizes the payoff function under random time conditions. It also mathematically explains to build the marketing strategies for the entry timing for both blue and red ocean markets.

Suggested Citation

  • Song-Kyoo (Amang) Kim, 2020. "Antagonistic One-To-N Stochastic Duel Game," Mathematics, MDPI, vol. 8(7), pages 1-12, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1114-:d:380981
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/7/1114/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/7/1114/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Schwalbe, Ulrich & Walker, Paul, 2001. "Zermelo and the Early History of Game Theory," Games and Economic Behavior, Elsevier, vol. 34(1), pages 123-137, January.
    2. repec:hal:wpaper:halshs-00816355 is not listed on IDEAS
    3. Jehoshua Eliashberg & Abel P. Jeuland, 1986. "The Impact of Competitive Entry in a Developing Market Upon Dynamic Pricing Strategies," Marketing Science, INFORMS, vol. 5(1), pages 20-36.
    4. John Patrick Lang & George Kimeldorf, 1975. "Duels with Continuous Firing," Management Science, INFORMS, vol. 22(4), pages 470-476, December.
    5. Gary L. Lilien & Eunsang Yoon, 1990. "The Timing of Competitive Market Entry: An Exploratory Study of New Industrial Products," Management Science, INFORMS, vol. 36(5), pages 568-585, May.
    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. Song-Kyoo (Amang) Kim, 2020. "A Versatile Stochastic Duel Game," Mathematics, MDPI, vol. 8(5), pages 1-13, May.
    2. Morris A. Cohen & Jehoshua Eliashberg & Teck H. Ho, 2000. "An Analysis of Several New Product Performance Metrics," Manufacturing & Service Operations Management, INFORMS, vol. 2(4), pages 337-349, July.
    3. Oscar Gutiérrez & Francisco Ruiz-Aliseda, 2011. "Real options with unknown-date events," Annals of Finance, Springer, vol. 7(2), pages 171-198, May.
    4. Jae Wook Yoo & Richard Reed & Shung Jae Shin & David J. Lemak, 2009. "Strategic Choice and Performance in Late Movers: Influence of the Top Management Team's External Ties," Journal of Management Studies, Wiley Blackwell, vol. 46(2), pages 308-335, March.
    5. Ewerhart, Christian, 2002. "Backward Induction and the Game-Theoretic Analysis of Chess," Games and Economic Behavior, Elsevier, vol. 39(2), pages 206-214, May.
    6. Régis Coeurderoy & Rodolphe Durand, 2001. "La cohérence des choix stratégiques:l'impact des décisions d'entrée et des stratégies génériques sur la performance organisationnelle des firmes," Revue Finance Contrôle Stratégie, revues.org, vol. 4(3), pages 57-88, September.
    7. Thomas Cleff & Klaus Rennings, 2011. "Theoretical and Empirical Evidence of Timing-to-Market and Lead Market Strategies for Successful Environmental Innovation," Discussion Papers dp11-01, Department of Economics, Simon Fraser University.
    8. Wilhelm, Wilbert E. & Xu, Kaihong, 2002. "Prescribing product upgrades, prices and production levels over time in a stochastic environment," European Journal of Operational Research, Elsevier, vol. 138(3), pages 601-621, May.
    9. Marta Biancardi & Andrea Di Liddo & Giovanni Villani, 2022. "How do Fines and Their Enforcement on Counterfeit Products Affect Social Welfare?," Computational Economics, Springer;Society for Computational Economics, vol. 60(4), pages 1547-1573, December.
    10. Lee, Kyungyul & Kwon, Youngsun, 2018. "How does the competitive intensity affect the firm's product strategies?," 22nd ITS Biennial Conference, Seoul 2018. Beyond the boundaries: Challenges for business, policy and society 190406, International Telecommunications Society (ITS).
    11. Sabrina Evans & Paolo Turrini, 2023. "Improving Strategic Decisions in Sequential Games by Exploiting Positional Similarity," Games, MDPI, vol. 14(3), pages 1-13, April.
    12. Armstrong, Michael J & Levesque, Moren, 2002. "Timing and quality decisions for entrepreneurial product development," European Journal of Operational Research, Elsevier, vol. 141(1), pages 88-106, August.
    13. Luo, Wen & Mineo, Keito & Matsushita, Koji & Kanzaki, Mamoru, 2018. "Consumer willingness to pay for modern wooden structures: A comparison between China and Japan," Forest Policy and Economics, Elsevier, vol. 91(C), pages 84-93.
    14. Athanasia Mavrommati, 2012. "A stackelberg duopoly with binary choices of objectives," Economics Bulletin, AccessEcon, vol. 32(1), pages 843-853.
    15. Marion Debruyne & David J. Reibstein, 2005. "Competitor See, Competitor Do: Incumbent Entry in New Market Niches," Marketing Science, INFORMS, vol. 24(1), pages 55-66, December.
    16. Thomas Cleff & Klaus Rennings, 2014. "Are There Any First And Second Mover Advantages For Eco-Pioneers? Lead Market Strategies For Environmental Innovation," Interdisciplinary Management Research, Josip Juraj Strossmayer University of Osijek, Faculty of Economics, Croatia, vol. 10, pages 164-189.
    17. Ataman, B.M., 2007. "Managing brands," Other publications TiSEM 462dcbba-2ac1-46d1-a61c-f, Tilburg University, School of Economics and Management.
    18. Abhik Roy & Jagmohan Raju, 2011. "The influence of demand factors on dynamic competitive pricing strategy: An empirical study," Marketing Letters, Springer, vol. 22(3), pages 259-281, September.
    19. Rodríguez-Pinto, Javier & Carbonell, Pilar & Rodríguez-Escudero, Ana I., 2011. "Speed or quality? How the order of market entry influences the relationship between market orientation and new product performance," International Journal of Research in Marketing, Elsevier, vol. 28(2), pages 145-154.
    20. Casilda Lasso de la Vega & Oscar Volij, 2020. "The value of a draw," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(4), pages 1023-1044, November.

    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:8:y:2020:i:7:p:1114-:d:380981. 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.