Examining the conflicts between Iran and neighboring countries using differential games

Document Type : Original Paper

Authors

Mathematics Department, Faculty of Basic Sciences, Imam Ali Afsari University, Tehran, Iran

Abstract

In this article, we intend to use differential games to model Iran's relations with neighboring countries. According to the discussion of time continuity in the real world, the differential game model has been used to model the ongoing issues continuously over a period of time and provide more realistic results. In this article, we first introduce the differential game, then the game model and the Hamilton-Jacobi-Bellman equation are described. In the first method, the famous Cobb-Douglas function was used instead of the utility function, and in the second method, we used this function by making changes to the Berman function. In the first method, in general, the amount of military expenditure and the amount of military equipment are balanced in the situation of the Markovian strategy. But in the second method, by considering the sub-sets of each of the military cost and military equipment sets, we have obtained the values ​​of military costs and the amount of balance equipment for each sub-set in more detail

Keywords

Main Subjects

References

[1] م. اسحاقی،ا.رشمه، مدل سازی رفتار تروریست و تحلیل رفتار تروریسم، سیستمهای مختلط و غیرخطی، دوره( ١ ) 1396.
[2] ح. اسلامی، بحران در افغانستان و پیامدهای آن برای ایران، سایت بازتاب، 1378.
[3] م. حافظ نیا، کشمیر،تهران، سازمان جغرافیایی ایران، 1388.
[4] ر. سراجی، تحولات پاکستان و چالش های آمریکا، فصلنامه سیاسی اقتصادی ،تهران، 1378.
[5] م. مسی بیگدلی، س. کتابچی، ح. نویدی، مدخلی بر نظریه بازی ها، انتشارات دانشگاه شاهد، 1390.
[6] E. Berman, J. N. Shapiro and J. H. Felter, Can Hearts and Minds be Bought The economics of counterinsurgency in Iraq, Journal of Political Economy, 119 (2011) 766–819 .
[7] A. Duursma, A current literature review of international mediation, International Journal of Conflict Management, 25 (2014) 81–98 .
[8] J. R. S. Cristobal , The use of Game Theory to solve conflicts in the project management and construction industry, International Journal of Information System and Project Management, 3 (2015) 43–58.
[9] J. C. Sharman, War, selection, and micro-states: Economic and ociological perspectives on the international system, European Journal of International Relations, 21 (2015) 194–214 .
[10] S. J. Turnovsky, Macroeconomic policies, growth, and welfare in a stochastic economy, International Economic Review, (1993) 953–981 .
Journal of Advanced Mathematical Modeling
Volume 12, Issue 4 - Serial Number 28
January 2022
Pages 462-476

Files

History

  • Receive Date: 13 September 2022
  • Revise Date: 14 November 2022
  • Accept Date: 05 December 2022

Share

How to cite

Statistics