IDEAS home Printed from https://ideas.repec.org/a/spr/jglopt/v83y2022i3d10.1007_s10898-020-00929-5.html
   My bibliography  Save this article

Dynamic multicriteria games with asymmetric players

Author

Listed:
  • Anna N. Rettieva

    (Qingdao University
    Institute of Applied Mathematics of Shandong
    Russian Academy of Sciences)

Abstract

In this paper a new approach to construct cooperative behavior in dynamic multicriteria games with asymmetric players is presented. To obtain noncooperative and cooperative equilibria the ideas of multi-objective optimization and game theory are combined. To construct a multicriteria Nash equilibrium the bargaining solution is adopted. To design a multicriteria cooperative equilibrium a compromise scheme that guarantees the fulfillment of rationality conditions is applied. The concept of dynamic stability is adopted for dynamic multicriteria games, and the time-consistent payoff distribution procedure is presented. A dynamic bi-criteria bioresource management problem with different discount factors is considered. The strategies and payoffs of players are obtained under cooperative and noncooperative behavior.

Suggested Citation

  • Anna N. Rettieva, 2022. "Dynamic multicriteria games with asymmetric players," Journal of Global Optimization, Springer, vol. 83(3), pages 521-537, July.
    • Handle: RePEc:spr:jglopt:v:83:y:2022:i:3:d:10.1007_s10898-020-00929-5
    DOI: 10.1007/s10898-020-00929-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10898-020-00929-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10898-020-00929-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Konak, Abdullah & Coit, David W. & Smith, Alice E., 2006. "Multi-objective optimization using genetic algorithms: A tutorial," Reliability Engineering and System Safety, Elsevier, vol. 91(9), pages 992-1007.
    2. Anna Rettieva, 2018. "Dynamic Multicriteria Games with Finite Horizon," Mathematics, MDPI, vol. 6(9), pages 1-9, September.
    3. Isermann, Heinz & Steuer, Ralph E., 1988. "Computational experience concerning payoff tables and minimum criterion values over the efficient set," European Journal of Operational Research, Elsevier, vol. 33(1), pages 91-97, January.
    4. Voorneveld, Mark & Vermeulen, Dries & Borm, Peter, 1999. "Axiomatizations of Pareto Equilibria in Multicriteria Games," Games and Economic Behavior, Elsevier, vol. 28(1), pages 146-154, July.
    5. Sorger, Gerhard, 2006. "Recursive Nash bargaining over a productive asset," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2637-2659, December.
    6. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    7. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    8. Dhingra, A. K. & Rao, S. S., 1995. "A cooperative fuzzy game theoretic approach to multiple objective design optimization," European Journal of Operational Research, Elsevier, vol. 83(3), pages 547-567, June.
    9. Anna N. Rettieva, 2020. "Cooperation in dynamic multicriteria games with random horizons," Journal of Global Optimization, Springer, vol. 76(3), pages 455-470, March.
    10. Petrosjan, Leon & Zaccour, Georges, 2003. "Time-consistent Shapley value allocation of pollution cost reduction," Journal of Economic Dynamics and Control, Elsevier, vol. 27(3), pages 381-398, January.
    11. Mark Voorneveld & Sofia Grahn & Martin Dufwenberg, 2000. "Ideal equilibria in noncooperative multicriteria games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(1), pages 65-77, September.
    12. Anna Rettieva, 2017. "Equilibria in Dynamic Multicriteria Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 1-21, March.
    13. Mazalov, V.V. & Rettieva, A.N., 2010. "Fish wars and cooperation maintenance," Ecological Modelling, Elsevier, vol. 221(12), pages 1545-1553.
    14. Z. Tang & J.-A. Désidéri & J. Périaux, 2007. "Multicriterion Aerodynamic Shape Design Optimization and Inverse Problems Using Control Theory and Nash Games," Journal of Optimization Theory and Applications, Springer, vol. 135(3), pages 599-622, December.
    15. Breton, Michèle & Keoula, Michel Yevenunye, 2014. "A great fish war model with asymmetric players," Ecological Economics, Elsevier, vol. 97(C), pages 209-223.
    16. Rettieva, A.N., 2012. "Stable coalition structure in bioresource management problem," Ecological Modelling, Elsevier, vol. 235, pages 102-118.
    17. L. S. Shapley & Fred D. Rigby, 1959. "Equilibrium points in games with vector payoffs," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 6(1), pages 57-61, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Anna Rettieva, 2022. "Dynamic Multicriteria Game with Pollution Externalities," Mathematics, MDPI, vol. 10(22), pages 1-15, November.
    2. Panos M. Pardalos & Michael Khachay & Yuri Kochetov, 2022. "Special Issue: 18th International conference on mathematical optimization theory and operations research (MOTOR 2019)," Journal of Global Optimization, Springer, vol. 83(3), pages 403-404, July.
    3. Kuzyutin, Denis & Smirnova, Nadezhda, 2023. "A dynamic multicriteria game of renewable resource extraction with environmentally concerned players," Economics Letters, Elsevier, vol. 226(C).

    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. Anna Rettieva, 2020. "Rational Behavior in Dynamic Multicriteria Games," Mathematics, MDPI, vol. 8(9), pages 1-16, September.
    2. Kuzyutin, Denis & Smirnova, Nadezhda & Gromova, Ekaterina, 2019. "Long-term implementation of the cooperative solution in a multistage multicriteria game," Operations Research Perspectives, Elsevier, vol. 6(C).
    3. Kuzyutin, Denis & Smirnova, Nadezhda, 2023. "A dynamic multicriteria game of renewable resource extraction with environmentally concerned players," Economics Letters, Elsevier, vol. 226(C).
    4. Anna Rettieva, 2022. "Dynamic Multicriteria Game with Pollution Externalities," Mathematics, MDPI, vol. 10(22), pages 1-15, November.
    5. Elena M. Parilina & Puduru Viswanadha Reddy & Georges Zaccour, 2022. "Endogenous Duration of Long-term Agreements in Cooperative Dynamic Games with Nontransferable Utility," Journal of Optimization Theory and Applications, Springer, vol. 195(3), pages 808-836, December.
    6. Anna Rettieva, 2018. "Dynamic Multicriteria Games with Finite Horizon," Mathematics, MDPI, vol. 6(9), pages 1-9, September.
    7. Yasuo Sasaki, 2019. "Rationalizability in multicriteria games," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 673-685, June.
    8. Anna N. Rettieva, 2020. "Cooperation in dynamic multicriteria games with random horizons," Journal of Global Optimization, Springer, vol. 76(3), pages 455-470, March.
    9. Sasaki, Yasuo, 2022. "Unawareness of decision criteria in multicriteria games," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 31-40.
    10. Ge, Ge & Godager, Geir, 2021. "Predicting strategic medical choices: An application of a quantal response equilibrium choice model," Journal of choice modelling, Elsevier, vol. 39(C).
    11. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2022. "Monotonicity in sharing the revenues from broadcasting sports leagues," European Journal of Operational Research, Elsevier, vol. 297(1), pages 338-346.
    12. Yoshihara, Naoki, 2003. "Characterizations of bargaining solutions in production economies with unequal skills," Journal of Economic Theory, Elsevier, vol. 108(2), pages 256-285, February.
    13. Juarez, Ruben & Ko, Chiu Yu & Xue, Jingyi, 2018. "Sharing sequential values in a network," Journal of Economic Theory, Elsevier, vol. 177(C), pages 734-779.
    14. Wulf Gaertner & Richard Bradley & Yongsheng Xu & Lars Schwettmann, 2019. "Against the proportionality principle: Experimental findings on bargaining over losses," PLOS ONE, Public Library of Science, vol. 14(7), pages 1-18, July.
    15. Lea Melnikovová, 2017. "Can Game Theory Help to Mitigate Water Conflicts in the Syrdarya Basin?," Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, Mendel University Press, vol. 65(4), pages 1393-1401.
    16. Daniele Cassese & Paolo Pin, 2018. "Decentralized Pure Exchange Processes on Networks," Papers 1803.08836, arXiv.org, revised Mar 2022.
    17. Jens Leth Hougaard & Mich Tvede, 2010. "n-Person Nonconvex Bargaining: Efficient Proportional Solutions," MSAP Working Paper Series 02_2010, University of Copenhagen, Department of Food and Resource Economics.
    18. , P. & ,, 2014. "On the consistency of data with bargaining theories," Theoretical Economics, Econometric Society, vol. 9(1), January.
    19. José-Manuel Giménez-Gómez & António Osório & Josep E. Peris, 2015. "From Bargaining Solutions to Claims Rules: A Proportional Approach," Games, MDPI, vol. 6(1), pages 1-7, March.
    20. Ismail Saglam, 2023. "Centralized bargaining with pre‐donation in a vertically related industry," Manchester School, University of Manchester, vol. 91(3), pages 233-259, June.

    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:spr:jglopt:v:83:y:2022:i:3:d:10.1007_s10898-020-00929-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.