Mathematical Modeling of the Strategy of the Early Islamic Wars Using Game Theory with Emphasis on the Battle of Siffin

Document Type : Original Article

Authors

1 Basic Science of Imam Ali University,Tehran, Iran

2 Lecturer at Imam Ali's Officers College and Master of Science in Quran and Hadith

Abstract

Mathematics has been applied to all sciences; and religious and military sciences are no exception, and mathematics can be used highly to design different war operations and solve battlefield equations to gain relative or absolute superiority over the enemy. We can also see clearly the application of mathematics in the Game Theory of war in abundance. In this applied research, conducted in a library method, the challenges between the army of Amir al-Mu’minin, ʿAlī ibn Abī Ṭālib (as) and the army of Muʿāwiya ibn Abī Sufyān in the Battle of Siffin have been modeled using Game Theory and the strategies of each of these two fronts are compared.
Finally, in order to examine the war utility, we seek to find the strategic equilibrium point between them. So, we obtain and discuss the utility function for each party's set of strategies in the battle of Siffin.

Keywords

References

Abu Mikhnaf Kufi, Lut ibn Yahya, (1417). AH. Waqaa al-Taf, Scholar and Editor: Muhammad Hadi Yousefi Gharavi, Third Edition, Islamic Publications Office, Qom.
Akramizadeh et al. (1398). H.S. Strategic Gam Theory with an Islamic Approach with Emphasis on the Early Islamic Battles. AJA Strategic Studies Center.
Azghandi, S.A. (1394). H.S. War and Peace (Reviewing the Contemporary Military and Strategic Issues), Eighth Edition, Qom.
Balādhurī, ʾAḥmad ibn Yaḥyā, (1996). A.D. Jamal min Ansab al-Ashraf, Inquiry: Soheil Zakar and Riyadh Zarkeli, Dār al-Fikr, Beirut.
Berman, E., Shapiro, J. N., & Felter, J. H. (2011). Can hearts and minds be bought? The economics of counterinsurgency in Iraq. Journal of Political Economy, 119(4), 766-819.
B. O'neill. nd. "Game Theory Models of Peace and War"
EbadiZadeh, H. (1379). H.S. Mathematical Modeling of Interactions and Strategies of the Islamic Republic of Iran and Saudi Arabia Using Game Theory, The Scientific-Research Journal of Strategic Knowledge of Interdisciplinary Studies. Higher National Defense University.
Ibn Abi al-Hadid, nd. Description of Nahj al-Balāghah, research by Muhammad Abu al-Fazl Ibrahim, Dār Īhyā al-Turāth al-'Arabī, Beirut.
Ibn Asākir, Ali ibn Hassan. (1421). AH. History of Damascus, Inquiry by Abi Abdullah Ali Ashur al-Junoubi, Beirut, Dār Īhyā al-Turāth al-'Arabī.
Ibn A'tham. (1411). A.H. Al-Futūḥ, Beirut, Dār al-Nadveh.
Ibn Athir, 'Izz al-Din Abu al-Hassan. (1408). AH. Al-Kāmil fī al-tārīkh, Beirut, Dār Īhyā al-Turāth al-'Arabī.
Ibn Miskawayh, Abū ʿAlī, (1379). H.S. Tajārib al-Umam, Research by Abu al-Ghasem Emami, Soroush, Second T, Tehran.
Ibn Muzāḥim, Nasr. (1403). A.H. The Battle of Siffin, Inquiry by Abdul Salam Mohammad Aaron, Second Edition, Qom, Manshurat Maktabah al-Mar’ashi al-Najafi.
Lezgi, A.N., et al. (1398). H.S. Mathematical Modeling of Gossip Propagation with a Defensive Approach by Looking at Verses and Narratives, Scientific-Research Journal of Strategic Knowledge Interdisciplinary Studies, No. 34.
Roshandel, J. (1373). H.S. Military Strategy, Journal of Law and Political Science Faculty, University of Tehran. No. 31.
Sadūq, Muhammad. (1395). A.H. Kamal al-Din and Tamam al-Nimah, Researcher and Editor: Ali Akbar Ghaffari, Second Edition, Dar al-Kutub al-Islamiyah, Tehran.
Sharman, J. C. (2015). War, selection, and micro-states: Economic and sociological perspectives on the international system. European Journal of International Relations, 21(1), 194-214.
Ṭabarī, Muḥammad ibn Jarīr, Tarikh al-Umam wa al-Muluk, (1967). A.D. Research: Muhammad Abu al-Fazl Ibrahim, Dār al-Turāth, Beirut.
Vukovic, S. (2014). A.D. “International mediation as a distinct form of conflict management”, International Journal of Conflict Management, Vol. 25 No. 1, pp. 61-80.
Annals of Optimization Theory and Practice
Volume 2, Issue 3 & 4
December 2019
Pages 1-13

Files

Share

How to cite

Statistics