IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v594y2022ics0378437122000826.html
   My bibliography  Save this article

Adversarial decisions on complex dynamical systems using game theory

Author

Listed:
  • Cullen, Andrew C.
  • Alpcan, Tansu
  • Kalloniatis, Alexander C.

Abstract

We apply computational Game Theory to a unification of physics-based models that represent decision-making across a number of agents within both cooperative and competitive processes. Here the competitors try to both positively influence their own returns, while negatively affecting those of their competitors. Modelling these interactions with the so-called Boyd–Kuramoto–Lanchester (BKL) complex dynamical system model yields results that can be applied to business, gaming and security contexts. This paper studies a class of decision problems on the BKL model, where a large set of coupled, switching dynamical systems are analysed using game-theoretic methods.

Suggested Citation

  • Cullen, Andrew C. & Alpcan, Tansu & Kalloniatis, Alexander C., 2022. "Adversarial decisions on complex dynamical systems using game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    • Handle: RePEc:eee:phsmap:v:594:y:2022:i:c:s0378437122000826
    DOI: 10.1016/j.physa.2022.126998
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437122000826
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2022.126998?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. Kalloniatis, Alexander C. & McLennan-Smith, Timothy A. & Roberts, Dale O., 2020. "Modelling distributed decision-making in Command and Control using stochastic network synchronisation," European Journal of Operational Research, Elsevier, vol. 284(2), pages 588-603.
    2. Li, Hui-Jia & Wang, Qian & Liu, Shenfeng & Hu, Jun, 2020. "Exploring the trust management mechanism in self-organizing complex network based on game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    3. Alexander C. Kalloniatis & Keeley Hoek & Mathew Zuparic & Markus Brede, 2021. "Optimising structure in a networked Lanchester model for fires and manoeuvre in warfare," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(8), pages 1863-1878, August.
    4. Brian Roberson, 2006. "The Colonel Blotto game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 1-24, September.
    5. Bradshaw, A.T. & Moseley, L.L., 1998. "Dynamics of competing predator–prey species," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(1), pages 107-114.
    6. Solomon Negash & Paul Gray, 2008. "Business Intelligence," International Handbooks on Information Systems, in: Handbook on Decision Support Systems 2, chapter 45, pages 175-193, Springer.
    7. Song, Xiao & Shi, Wen & Tan, Gary & Ma, Yaofei, 2015. "Multi-level tolerance opinion dynamics in military command and control networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 322-332.
    8. Wayne P. Hughes, 1995. "A salvo model of warships in missile combat used to evaluate their staying power," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(2), pages 267-289, March.
    9. Guillaume M. J-B. Chaslot & Mark H. M. Winands & H. Jaap Van Den Herik & Jos W. H. M. Uiterwijk & Bruno Bouzy, 2008. "Progressive Strategies For Monte-Carlo Tree Search," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 4(03), pages 343-357.
    10. Pluchino, Alessandro & Boccaletti, Stefano & Latora, Vito & Rapisarda, Andrea, 2006. "Opinion dynamics and synchronization in a network of scientific collaborations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 372(2), pages 316-325.
    11. Song, Xiao & Zhang, Shaoyun & Qian, Lidong, 2013. "Opinion dynamics in networked command and control organizations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5206-5217.
    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. Andrey F. Shorikov & Grigory B. Korovin & Dmitry V. Sirotin, 2023. "Methodology for regional industrial complex management: Architecture of an agent-based model," Upravlenets, Ural State University of Economics, vol. 14(6), pages 63-76, December.

    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, Xiao & Shi, Wen & Ma, Yaofei & Yang, Chen, 2015. "Impact of informal networks on opinion dynamics in hierarchically formal organization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 916-924.
    2. Song, Xiao & Ma, Liang & Ma, Yaofei & Yang, Chen & Ji, Hang, 2016. "Selfishness- and Selflessness-based models of pedestrian room evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 455-466.
    3. Song, Xiao & Sun, Jinghan & Xie, Hongnan & Li, Qiyuan & Wang, Zilie & Han, Daolin, 2018. "Characteristic time based social force model improvement and exit assignment strategy for pedestrian evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 530-548.
    4. Adamson, Jordan, 2020. "Political institutions, resources, and war: Theory and evidence from ancient Rome," Explorations in Economic History, Elsevier, vol. 76(C).
    5. Aner Sela, 2021. "Resource Allocations In Multi-Stage Contests," Working Papers 2105, Ben-Gurion University of the Negev, Department of Economics.
    6. Goerke, Laszlo & Neugart, Michael, 2015. "Lobbying and dismissal dispute resolution systems," International Review of Law and Economics, Elsevier, vol. 41(C), pages 50-62.
    7. Subhasish Chowdhury & Dan Kovenock & Roman Sheremeta, 2013. "An experimental investigation of Colonel Blotto games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(3), pages 833-861, April.
    8. Michael J. Armstrong, 2007. "Effective attacks in the salvo combat model: Salvo sizes and quantities of targets," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(1), pages 66-77, February.
    9. Shan, Xiaojun & Zhuang, Jun, 2013. "Hybrid defensive resource allocations in the face of partially strategic attackers in a sequential defender–attacker game," European Journal of Operational Research, Elsevier, vol. 228(1), pages 262-272.
    10. Christian Ewerhart & Stanisław Kaźmierowski, 2024. "An equilibrium analysis of the Arad-Rubinstein game," ECON - Working Papers 443, Department of Economics - University of Zurich.
    11. Michael J. Armstrong, 2013. "The salvo combat model with area fire," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(8), pages 652-660, December.
    12. B. Golany & N. Goldberg & U. Rothblum, 2015. "Allocating multiple defensive resources in a zero-sum game setting," Annals of Operations Research, Springer, vol. 225(1), pages 91-109, February.
    13. Boyer, Pierre C. & Konrad, Kai A. & Roberson, Brian, 2017. "Targeted campaign competition, loyal voters, and supermajorities," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 49-62.
    14. Konrad, Kai A. & Morath, Florian, 2023. "How to preempt attacks in multi-front conflict with limited resources," European Journal of Operational Research, Elsevier, vol. 305(1), pages 493-500.
    15. Kovenock, Dan & Roberson, Brian, 2011. "Non-partisan ‘get-out-the-vote’ efforts and policy outcomes," European Journal of Political Economy, Elsevier, vol. 27(4), pages 728-739.
    16. Casella, Alessandra & Laslier, Jean-François & Macé, Antonin, 2017. "Democracy for Polarized Committees: The Tale of Blotto's Lieutenants," Games and Economic Behavior, Elsevier, vol. 106(C), pages 239-259.
    17. Kalloniatis, Alexander C. & Zuparic, Mathew L., 2016. "Fixed points and stability in the two-network frustrated Kuramoto model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 21-35.
    18. Ivan P. Yamshchikov & Sharwin Rezagholi, 2018. "Elephants, Donkeys, and Colonel Blotto," Papers 1805.12083, arXiv.org.
    19. Aner Sela, 2016. "Two Stage Contests With Effort-Dependent Rewards," Working Papers 1612, Ben-Gurion University of the Negev, Department of Economics.
    20. Dan Kovenock & Brian Roberson, 2008. "Electoral Poaching and Party Identification," Journal of Theoretical Politics, , vol. 20(3), pages 275-302, July.

    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:eee:phsmap:v:594:y:2022:i:c:s0378437122000826. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.