I think the Keynes approach to the 2007 to 2009 economic collapse would be to let the government intervene. The government can step in and decrease tax cuts which will in turn increase consumer spending. This should turn the market around because prices are lower and people will spend more money, leading demand to eventually increase .
The Neoclassical response would probably be a hands off approach. During economic downfalls, there tends to be a surplus of products which will cause the market to automatically adjust itself. Prices will eventually fall causing a decrease in supply whereas before there was a surplus. This will also cause the GDP, unemployment, supply, and demand to shift
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