P. Gottardi et T. Hens, Disaggregation of excess demand and comparative statics with incomplete markets and nominal assets, ECON THEORY, 13(2), 1999, pp. 287-308
We prove that locally, Walras' law and homogeneity characterize the structu
re of market excess demand functions when financial markets are incomplete
and assets' returns are nominal. The method of proof is substantially diffe
rent from all existing arguments as the properties of individual demand are
also different. We show that this result has important implications and is
part of a more general result that excess demand is an essentially arbitra
ry function not just of prices, but also of the exogenous parameters of the
economy as asset returns, preferences, and endowments. Thus locally the eq
uilibrium manifold, relating equilibrium prices to these parameters has als
o no structure.