Keynesian theories focus on fiscal policies, taxes & spending, as determining the business cycle. Neoclassical theorists are more monetarist, like Milton Friedman. Keynesians see a major role for government stimuluses and intervention in the economy. Neoclassical theories prefer minimal government interference and rely on private markets to adust and end business downturns more quickly.
Neoclassicals like microeconomics more. Keynesians almost make microeconomics irrelevant to the macro economy. Neoclassicals also include supply siders like Arthur Laffer.
About the main thing both types agree on is free international markets and reducing tariffs or barriers to trade.
The University of Chicago and UCLA are the two major neoclassical economics centers. MIT, Harvard, Princeton are Keynesian. That's also the distribution of Nobel laureates between neoclassical & Keynesian.
Another newer university for neoclassical economics is George Mason University, which acquired Nobel Laureate Buchanan, who promoted a balanced budget amendment. Keynesians, in contrast, don't like that type of constraint on spending.
