Abstract
This study aims to substantiate and unfold the method of analysis of problems of economic support for the armed defense of Ukraine, taking into account the military-economic capabilities of the adversary (Method M1), as the starting and conceptually defining component of an integrated four-method apparatus for studying defense economics under the regime of a protracted high-intensity war of attrition. The combination of systems analysis, structural-functional approach, and multi-criteria assessment is operationalized through the simultaneous analysis of three interrelated contours: the domestic economic potential of the state, the dynamics of the military-economic capabilities of the adversary, and the factors of external support. The operational core of the method is the composite indicator of state economic endurance EZS, constructed in accordance with the ten-step methodology of the Joint Research Centre of the European Commission and the OECD, with normalization of primary indicators by the distance-to-reference method, weighting of sub-indices by the analytic hierarchy process, and linear additive aggregation of six sub-indices isomorphic to the links of the six-link endogenous loop. Empirical verification on a panel database of 27 indicators across 11 years for seven countries yielded the current EZS value for Ukraine in 2024 of 0.514, located in the upper segment of the critical-state zone in immediate proximity to the satisfactory-state zone. Robustness analysis via Monte Carlo simulation with 10,000 iterations confirmed the stability of the composite to weight variation within ±20% of the baseline, with a 95-percent confidence interval width of 0.043 units of the scale. The method enables the identification of critical nodes of economic support for defense, determination of their sensitivity to environmental changes, and the assessment of risks of loss of system stability; combined with the three other methods of the apparatus, it closes the diagnostic function of the adaptive regulatory cycle of military-economic system management.
References
1. Abadie, A. (2021). Using synthetic controls: Feasibility, data requirements, and methodological aspects. Journal of Economic Literature, 59(2), 391–425. https://doi.org/10.1257/jel.20191450
2. Abadie, A., Diamond, A., & Hainmueller, J. (2010). Synthetic control methods for comparative case studies: Estimating the effect of California’s tobacco control program. Journal of the American Statistical Association, 105(490), 493–505. https://doi.org/10.1198/jasa.2009.ap08746
3. Ashby, W. R. (1956). An introduction to cybernetics. Chapman & Hall.
4. Bertalanffy, L. von. (1968). General system theory: Foundations, development, applications. George Braziller.
5. Hartley, K., & Sandler, T. (Eds.). (1995). Handbook of defense economics (Vol. 1). Elsevier. https://doi.org/10.1016/S1574-0013(05)80002-X
6. International Monetary Fund. (2024). World economic outlook: October 2024. IMF Publications. https://www.imf.org/en/Publications/WEO
7. Mazzucato, M. (2018). Mission-oriented innovation policies: Challenges and opportunities. Industrial and Corporate Change, 27(5), 803–815. https://doi.org/10.1093/icc/dty034
8. Mazzucato, M. (2021). Mission economy: A moonshot guide to changing capitalism. Penguin.
9. Messner, J. J., Haken, N., Taft, P., Blyth, H., Maglo, M., Murphy, C., & Quinn, J. (2023). Fragile States Index 2023: Annual report. Fund for Peace. https://fragilestatesindex.org/2023/06/14/fragile-states-index-2023-annual-report/
10. Nardo, M., Saisana, M., Saltelli, A., Tarantola, S., Hoffmann, A., & Giovannini, E. (2008). Handbook on constructing composite indicators: Methodology and user guide. OECD Publishing. https://doi.org/10.1787/9789264043466-en
11. Parsons, T. (1951). The social system. The Free Press.
12. Polovenko, V. (2024). Modelyuvannya vplyvu viysʹkovo-ekonomichnykh mozhlyvostey protyvnyka na stratehiyu oboronnoho planuvannya Ukrayiny [Modeling the influence of the adversary’s military-economic capabilities on Ukraine’s defense planning strategy]. Social Development and Security, 14(6), 204–212. https://paperssds.eu/index.php/JSPSDS/article/view/973 (in Ukrainian)
13. Polovenko, V. (2025a). Kontseptualʹni zasady formuvannya systemy ekonomichnoho zabezpechennya zbroynoho zakhystu Ukrayiny в umovakh hibrydnoyi viyny [Conceptual principles for forming a system of economic support for Ukraine’s armed defense in the context of hybrid warfare]. Social Development and Security, 15(3), 92–99. https://doi.org/10.33445/sds.2025.15.3.10 (in Ukrainian)
14. Polovenko, V. (2025b). Metodolohichnyy aparat doslidzhennya problem ekonomichnoho zabezpechennya zbroynoho zakhystu Ukrayiny z urakhuvannyam viyskovo-ekonomichnykh mozhlyvostey voroha [Methodological apparatus for studying the problems of economic support for the armed defense of Ukraine, taking into account the military-economic capabilities of the enemy]. Social Development and Security, 15(6), 463–475. https://doi.org/10.33445/sds.2025.15.6.36 (in Ukrainian)
15. Polovenko, V. (2025c). Modernizatsiya oboronno-promyslovoho kompleksu Ukrayiny v umovakh vyklykiv voyennoho chasu: Problemy, perspektyvy ta stratehichni priorytety [Modernization of Ukraine’s defense-industrial complex under wartime challenges: Problems, prospects, and strategic priorities]. Social Development and Security, 15(4), 296–305. https://paperssds.eu/index.php/JSPSDS/article/view/974 (in Ukrainian)
16. Polovenko, V. (2025d). Optymizatsiya oboronnykh vytrat Ukrayiny з urakhuvannyam asymetrychnykh zahroz ta obmezhenykh resursiv [Optimization of Ukraine’s defense expenditures considering asymmetric threats and limited resources]. Social Development and Security, 15(5), 347–357. http://paperssds.eu/index.php/JSPSDS/article/view/861 (in Ukrainian)
17. Saaty, T. L. (1980). The analytic hierarchy process: Planning, priority setting, resource allocation. McGraw-Hill.
18. Saaty, T. L., & Vargas, L. G. (2012). Models, methods, concepts and applications of the analytic hierarchy process (2nd ed.). Springer. https://doi.org/10.1007/978-1-4614-3597-6
19. Sandler, T., & Hartley, K. (1995). The economics of defense. Cambridge University Press.
20. Sandler, T., & Hartley, K. (Eds.). (2007). Handbook of defense economics (Vol. 2): Defense in a globalized world. Elsevier. https://www.sciencedirect.com/handbook/handbook-of-defense-economics/vol/2/suppl/C
21. Schwab, K. (2019). The global competitiveness report 2019. World Economic Forum. https://www.weforum.org/publications/global-competitiveness-report-2019/
22. Stockholm International Peace Research Institute. (2025). SIPRI military expenditure database. SIPRI. https://www.sipri.org/databases/milex
23. United Nations Development Programme. (2022). Human development report 2021/22: Uncertain times, unsettled lives. UNDP. https://hdr.undp.org/content/human-development-report-2021-22
24. World Bank. (2024). World development indicators. The World Bank Group. https://datatopics.worldbank.org/world-development-indicators/

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Copyright (c) 2026 Vitalii Polovenko
