The evolutionary theory defines the firm as a set of essential skills, gained from its learning\r\nability. The theoretical assumption that forms the base of this paper is based on the importance\r\nof knowing the relationship between firms in different market, recognized at economic level. For\r\nthis reason the paper was based on a systematic review and critical analysis of the literature on\r\nthe subject which is considered to be a universally accepted assessment technique, used to\r\ncreate a structured summary of previous developments on the theories of the firms. Based on\r\nthe need to address these questions, the objective of this paper is to critically analyze the\r\ntheories of the firm in terms of how they influence the behaviour of the rational entrepreneur.\r\nThe research goal is to identify how they contribute to explaining the evolution of firms and the\r\nperformance differences between them. Using the numerical simulations we can notice that the\r\nsteady states are mean square stable. The analysis of a firm�s model considering the physical\r\ncapital and the quality of the human capital is analyzed. In this paragraph a random model was\r\nbuilt taking into account that the economic processes have a high degree of uncertainty. The\r\ngraphs described in the present paper show, that the states of the variables are asymptotically\r\nstable in probability. In this perspective the research goal is designing and testing models of\r\nevolution and revealing the firm''s performance in a competitive environment affected by risk\r\nand uncertainty by using mathematical models.
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