During the academic year 1995/96, I was invited by the Scuola
Normale Superiore to give a series of lectures. The purpose of
these notes is to make the underlying economic problems and the
mathematical theory of exterior differential systems accessible to
a larger number of people. It is the purpose of these notes to go
over these results at a more leisurely pace, keeping in mind that
mathematicians are not familiar with economic theory and that very
few people have read Elie Cartan.
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