Evolutionary games are a developing sub-field of game theory. This branch of game theory is used in the study of the adaptation of large, but finite, populations of agents to changes in the environment. It assumes that each agent has no significant influence on the system. Many scientific areas use the theory of evolutionary games. In particular, it is used in biology, medicine and the modelling of wireless networks. In this paper we study an evolutionary game with two levels of interaction between population agents. At the first level, changes in the population state depend on changes in the environment and on increasing or decreasing the resources available to the agents. At the second level, the populations state changes according to how the agents evaluate the state of the environment. These levels form a hierarchical structure. A change in one parameter of the system, which is responsible for the state of the environment, the population or the opinions of the agents, causes a change in the other elements of the system. The study involves the analysis of a modified evolutionary game taking into account the influence of the environment and the opinions of the agents. It also involves the development of computational methods in MATLAB and two sets of numerical experiments.

翻译：演化博弈是博弈论的一个新兴子领域。该博弈论分支用于研究大规模但有限数量的智能体群体对环境变化的适应过程，其假设每个智能体对系统没有显著影响。众多科学领域都应用了演化博弈理论，尤其在生物学、医学及无线网络建模中。本文研究了一种具有群体智能体间两层交互的演化博弈。在第一层，群体状态的变化取决于环境变化以及智能体可用资源的增减；在第二层，群体状态根据智能体对环境状态的评估而变化。这两层构成了一个层次结构。系统中负责环境状态、群体状态或智能体观点的任一参数变化，都会引发系统其他要素的变化。本研究涉及对考虑环境与智能体观点影响的改进型演化博弈进行分析，并基于MATLAB开发了计算方法及两组数值实验。