↓ Skip to main content
Heltaher
Heltaher

The Mathematics of Tyranny: A Systems Analysis of Power's Darkest Form

The Mathematics of Tyranny

Key Insights
#

  • Tyranny emerges when three variables align: Personal propensity (P), institutional opportunity (O), and coalition viability (C) must exceed a threshold of 380 for consolidation.
  • The system exhibits positive feedback: Once tyranny begins, P, O, and C all increase automatically, making reversal increasingly difficult.
  • Duration depends on coalition strength: Regimes last longer when supporters are strongly committed rather than merely rewarded.
  • Prevention requires institutional redundancy: Multiple independent checks prevent single-point failures that enable consolidation.

References
#

  1. Al-Najjar, N. (2001). A reputational model of authority. Journal of Economic Behavior & Organization, 46(4), 395-407. https://doi.org/10.1016/S0167-2681(01)00192-5

  2. Arantxa, Z., Claudia, M., Sergio, C., & Dolores, M. (2022). A tyranny trap in community territorial planning: The case of three ejidos in Southeastern Mexico. Environmental Development, 44, 100760. https://doi.org/10.1016/j.envdev.2022.100760

  3. Aya, R. (2015). Revolution, theories of. In J. D. Wright (Ed.), International encyclopedia of the social & behavioral sciences (2nd ed., pp. 614-620). Elsevier. https://doi.org/10.1016/B978-0-08-097086-8.96037-9

  4. Blase, J., & Blase, J. (2010). Leader mistreatment of teachers. In P. Peterson, E. Baker, & B. McGaw (Eds.), International encyclopedia of education (3rd ed., pp. 316-321). Elsevier. https://doi.org/10.1016/B978-0-08-044894-7.00456-5

  5. Buchanan, T., Young, D., Ackland, J., Renwick, A., & de-Wit, L. (2025). An authoritarianism-compatible text changes British attitudes towards EU immigration. Scientific Reports, 15, 1149. https://doi.org/10.1038/s41598-025-11491-z

  6. Cogan, M. (2022). Dictatorships and authoritarian regimes, insurrections against. In D. J. Christie (Ed.), Encyclopedia of violence, peace, & conflict (3rd ed., pp. 475-484). Elsevier. https://doi.org/10.1016/B978-0-12-820195-4.00188-6

  7. de Wet, C. (2010). The reasons for and the impact of principal-on-teacher bullying on the victims’ private and professional lives. Teaching and Teacher Education, 26(7), 1450-1459. https://doi.org/10.1016/j.tate.2010.05.005

  8. Edelstein, A. (2013). Culture transition, acculturation and intimate partner homicide. SpringPlus, 2, 338. https://doi.org/10.1186/2193-1801-2-338

  9. Gentile, E. (2001). Dictatorship in history. In N. J. Smelser & P. B. Baltes (Eds.), International encyclopedia of the social & behavioral sciences (pp. 3614-3617). Elsevier. https://doi.org/10.1016/B0-08-043076-7/02749-2

  10. Gentile, E. (2015). Dictatorship in history. In J. D. Wright (Ed.), International encyclopedia of the social & behavioral sciences (2nd ed., pp. 414-420). Elsevier. https://doi.org/10.1016/B978-0-08-097086-8.62084-6

  11. Haslam, S. A., & Reicher, S. D. (2012). Contesting the “nature” of conformity: What Milgram and Zimbardo’s studies really show. PLoS Biology, 10(11), e1001426. https://doi.org/10.1371/journal.pbio.1001426

  12. Kyriacou, A. (2000). An ethnically based federal and bicameral system: The case of Cyprus. International Review of Law and Economics, 20(4), 479-499. https://doi.org/10.1016/S0144-8188(00)00027-2

  13. Lee, J. (2023). Economic compensation for elite dismissals in authoritarian regimes: Evidence from Chinese provincial officials. Asian Journal of Social Science, 51(3), 215-234. https://doi.org/10.1016/j.ajss.2023.08.001

  14. Palouš, M. (2022). Totalitarianism and authoritarianism. In D. J. Christie (Ed.), Encyclopedia of violence, peace, & conflict (3rd ed., pp. 621-632). Elsevier. https://doi.org/10.1016/B978-0-12-820195-4.00200-4

  15. Ravetti, C., Sarr, M., & Swanson, T. (2018). Foreign aid and political instability in resource-rich countries. Resources Policy, 58, 277-289. https://doi.org/10.1016/j.resourpol.2018.05.017

  16. Reicher, S. (2015). Tyranny. In J. D. Wright (Ed.), International encyclopedia of the social & behavioral sciences (2nd ed., pp. 721-725). Elsevier. https://doi.org/10.1016/B978-0-08-097086-8.24101-9

  17. Ritter, D. (2008). Dictatorships and authoritarian regimes, insurrections against. In L. Kurtz (Ed.), Encyclopedia of violence, peace, & conflict (2nd ed., pp. 537-546). Elsevier. https://doi.org/10.1016/B978-012373985-8.00049-0

  18. Selemane, T. (2023). From Vale to Vulcan: ‘New wine in old bottles?’ An analysis of Vale’s exit from Mozambique. The Extractive Industries and Society, 15, 101302. https://doi.org/10.1016/j.exis.2023.101302

  19. Tridimas, G. (2011). Cleisthenes’ choice: The emergence of direct democracy in ancient Athens. The Journal of Economic Asymmetries, 8(1), 127-145. https://doi.org/10.1016/j.jeca.2011.01.002

  20. Verwimp, P. (2003). The political economy of coffee, dictatorship, and genocide. European Journal of Political Economy, 19(2), 161-181. https://doi.org/10.1016/S0176-2680(02)00166-0

  21. Wang, L., Sun, Y., Li, J., Xu, Y., Chen, M., Zhu, X., & Wang, D. (2022). Effects of ambidextrous leadership on employees’ work behavior: The mediating role of psychological empowerment. Frontiers in Psychology, 13, 862799. https://doi.org/10.1038/fpsyg.2022.862799

  22. Williamson, T. (2008). The good society and the good soul: Plato’s Republic on leadership. The Leadership Quarterly, 19(4), 397-408. https://doi.org/10.1016/j.leaqua.2008.05.006

  23. Zingher, J. (2020). On the measurement of social class and its role in shaping white vote choice in the 2016 U.S. presidential election. Electoral Studies, 64, 102119. https://doi.org/10.1016/j.electstud.2020.102119