نوع مقاله : مقاله پژوهشی
نویسندگان
گروه ریاضی، دانشکده علوم پایه ، دانشگاه افسری امام علی (ع)، تهران، ایران
چکیده
کلیدواژهها
موضوعات
عنوان مقاله [English]
نویسندگان [English]
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
کلیدواژهها [English]
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