{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T16:44:14Z","timestamp":1760114654811,"version":"build-2065373602"},"reference-count":19,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2024,9,18]],"date-time":"2024-09-18T00:00:00Z","timestamp":1726617600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Research Agreement between the Defence Science and Technology Group, Department of Defence, Australia, and the University of Adelaide","award":["UA216424-S27"],"award-info":[{"award-number":["UA216424-S27"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Games"],"abstract":"<jats:p>This paper examines the tactical interaction between drones and tanks in modern warfare through game theory, particularly focusing on Stackelberg equilibrium and backward induction. It describes a high-stakes conflict between two teams: one using advanced drones for attack, and the other defending using tanks. The paper conceptualizes this as a sequential game, illustrating the complex strategic dynamics similar to Stackelberg competition, where moves and countermoves are carefully analyzed and predicted.<\/jats:p>","DOI":"10.3390\/g15050032","type":"journal-article","created":{"date-parts":[[2024,9,18]],"date-time":"2024-09-18T09:49:19Z","timestamp":1726652959000},"page":"32","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Vulnerability and Defence: A Case for Stackelberg Game Dynamics"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5221-9384","authenticated-orcid":false,"given":"Azhar","family":"Iqbal","sequence":"first","affiliation":[{"name":"School of Computer and Mathematical Sciences, University of Adelaide, Adelaide, SA 5005, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ishan","family":"Honhaga","sequence":"additional","affiliation":[{"name":"School of Computer and Mathematical Sciences, University of Adelaide, Adelaide, SA 5005, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eyoel","family":"Teffera","sequence":"additional","affiliation":[{"name":"Defence Science and Technology Group, P.O. 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Researches into the Mathematical Principles of the Theory of Wealth, Macmillan."},{"key":"ref_5","unstructured":"Tirole, J. (1988). The Theory of Industrial Organization, MIT."},{"key":"ref_6","unstructured":"von Stackelberg, H. (1934). Marktform und Gleichgewicht, Julius Springer."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Gibbons, R. (1992). Game Theory for Applied Economists, Princeton University Press.","DOI":"10.1515\/9781400835881"},{"key":"ref_8","first-page":"297","article-title":"Stackelberg vs. Nash in Security Games: An Extended Investigation of Interchangeability, Equivalence, and Uniqueness","volume":"41","author":"Korzhyk","year":"2011","journal-title":"J. AI Res. 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Security Service Pricing Model for UAV Swarms: A Stackelberg Game Approach. Proceedings of the IEEE INFOCOM 2021\u2014IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS), Vancouver, BC, Canada.","DOI":"10.1109\/INFOCOMWKSHPS51825.2021.9484577"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Li, H., and Zheng, Z. (2019, January 12\u201314). Optimal Timing of Moving Target Defense: A Stackelberg Game Model. Proceedings of the MILCOM 2019\u20142019 IEEE Military Communications Conference (MILCOM), Norfolk, VA, USA.","DOI":"10.1109\/MILCOM47813.2019.9020963"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"14623","DOI":"10.1109\/ACCESS.2019.2893459","article-title":"Power Control in Relay-Assisted Anti-Jamming Systems: A Bayesian Three-Layer Stackelberg Game Approach","volume":"7","author":"Feng","year":"2019","journal-title":"IEEE Access"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Basar, T., and Zaccour, G. (2016). Trends and Applications in Stackelberg Security Games. Handbook of Dynamic Game Theory, Springer.","DOI":"10.1007\/978-3-319-27335-8"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Tambe, M. (2011). Security and Game Theory: Algorithms, Deployed Systems, Lessons Learned, Cambridge University Press.","DOI":"10.1017\/CBO9780511973031"},{"key":"ref_17","unstructured":"Paruchuri, P., Pearce, J., Marecki, J., Tambe, M., Ordonez, F., and Kraus, S. (2008, January 12\u201316). Playing Games for Security: An Efficient Exact Algorithm for Solving Bayesian Stackelberg Games. Proceedings of the International Joint Conference on Autonomous Agents and Multi-Agent Systems (AAMAS), Estoril, Portugal."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1016\/j.ejor.2007.10.033","article-title":"A Stackelberg equilibrium for a missile procurement problem","volume":"193","author":"Hohzaki","year":"2009","journal-title":"Eur. J. Oper. Res."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Sinha, A., Fang, F., An, B., Kiekintveld, C., and Tambe, M. (2018, January 13\u201319). Stackelberg Security Games: Looking Beyond a Decade of Success. 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