Abstract
Complex Systems is a new field of science studying how parts of a system give rise to the collective behaviours of the system, and how the system interacts with its environment. Graph theory is a fundamental tool in the study of social systems and economic issues. The input-output tables are precisely one of the main examples of it. We use the interpretation of labour market through networks to get a better understanding on its overall functioning. One benefit of the network perspective is that a large body of mathematics exists to help analyse many forms of networks models. If an economic system has a suitable model, then it becomes possible to utilize relevant mathematical tools, such as general systems theory, graph theory and discrete chaos theory, to better understand the way the labour market works. In this article, we apply concepts including structural functions, coverage and invariant sets to a social system’s modelling.
Highlights
Deterioration of the employment rate is one of the most serious problems in developed countries
We present a mathematical model of the labour market based on a similarity with ecosystems, such as the relationships of predator-prey and competition [33] that can be equated with their analogues supply-demand and competition [34]
The present work provides the first attempt to address the interactions occurring in the labour market using the concepts of coverage and invariability
Summary
Deterioration of the employment rate is one of the most serious problems in developed countries. The latest research uses new models based on human behaviour theories to explain motivations for decision making in labour markets [26]–[28]. If an economic system has got a suitable model, it becomes possible to use relevant mathematical tools, such as graph theory, to better understand the way the labour market works This interpretation allows us to use the concepts of coverage and invariance alongside other related concepts. The proposed modelling of complex social systems (such as labour markets) involving a large number of variables can be complicated, requiring in these cases the use of causal analysis software capable of working with large amounts of data.
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