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jsalvatier comments on Mathematicians and the Prevention of Recessions - Less Wrong
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Macro results are definitely derivable from micro principles: http://goodmorningeconomics.wordpress.com/2012/04/07/the-backrub-economy-a-simple-mathematical-model-of-monetary-disequilibrium/ .
I think we discussed that we haven't seen the AS/AD models derived from micro principles. I'm not sure this can't be done, its just not commonly discussed, and I don't see a good use for those concepts so I haven't tried to find a derivation.