Is There a Mathematical Model for Growth in a Free Market Economy?

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The discussion centers around the inquiry into mathematical models for growth in a free market economy without state intervention. The Austrian school of Economics is suggested as a potential resource for exploring this topic. The Solow-Swan model is mentioned, highlighting that while it does not specifically address free markets, it identifies key mechanisms for long-term growth, such as savings, capital accumulation, and technological progress, which can occur independently of government intervention. However, it is noted that some level of government is necessary to enforce laws and facilitate investment. A participant prompts for clarification on the specific aspects of growth the original poster wishes to model, indicating the complexity of the topic and the importance of defining parameters for any model.
LayMuon
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Hi guys, I am not economist, but can anybody tell me whether there is a mathematical model for growth in free market economy without state intervention? Where can I look them up? Thanks.
 
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This is kind of temptative, i.e., somewhat-speculative, so you should ignore if someone comes up with something more substantial, but, from what I know, the Austrian school of Economics may give you a lead.
 
Solow-Swan model. Although it doesn't really refer to free markets, the mechanisms which make long-term growth happen are savings, capital accumulation and technological progress, which can happen with no direct government intervention. Of course there has to be a government enforcing the law, trust policies and to facilitate new investment, etc..
 
LayMuon:
What exactly do you want to model? (Because Tosh suggested a reasonable, simple answer, which for example ignores short term swings)
 
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