Модель "кочевников" и "землепашцев" с ограниченным ресурсом пространственного перемещения

Экономика и математические методы. 2018. Т. 54. № 4. С. 124–131.

Belousov F.

In the article (Belousov F.A., 2017), the model with the simplest social structure was built and studied. In the model agents are divided into two types - nomads and plowmen, each of which is distinguished by its attitude to the method of production of the product. If plowmen can independently reproduce product, then nomads are not endowed with such skills, instead they have the ability to find such a product in the area, including taking it away from plowmen. In mentioned article, the question of extinction of one of the civilizations was studied, and the question of the coexistence of these civilizations in a single space during the observed period also was studied. The scientific novelty of this work lies in the development of the original model of nomads and plowmen and addition of new conditions associated with restrictions on movement of agents. In the new modification, agents are forbidden to move away from their place of birth beyond a certain exogenously specified distance during their lifetime. Due to the fact that the original model is rather the model of ancient society, its modification largely reflects the socio-demographic processes that took place in ancient times. The ancient people, perhaps with rare exceptions, did not have the opportunity to travel long distances and they were somehow tied to their place of birth and permanent habitat. A series of experiments was carried out, the ranges of values of the parameter introduced into the model, under which different qualitative dynamics of the entire system is observed, were determined. The value of this work is added by the fact that the access to more productive computing power has allowed to carry out better calculations. Thus, in the initial model, calculations were carried out for a length of 4000 periods of model time; in the new model, this characteristic grew to 15,000 and 20,000 periods. Such growth of this indicator allows to reveal new qualitative dynamics not only in the new presented modification, but also in the original model of nomads and plowmen.

Keywords: имитационное моделирование, agent-based modeling, simulation modeling, nomads, кочевники, artificial society, plowmen, искусственные общества, землепашцы, агент-ориентированное моделирование, extinction of civilizations, вымирание цивилизаций