Equations on the Derivatives of an Initial Endowment-Competitive Equilibrium Mapping for an Exchange Economy
AbstractConsider an exchange economy with n traders and k goods. Suppose that there exists C2 mappings p(middot) and x (middot) that specify for each initial endowment w of the k goods to the n traders a price vector p(w) and a vector of net trades x(w) that define a competitive equilibrium. Three systems of determinant equations are derived that the derivatives of p(middot) and x(middot) necessarily satisfy regardless of the underlying preferences that determine these mappings. Each of the three systems of equations fundamentally reflects the interaction among traders in the competitive mechanism.
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Bibliographic InfoPaper provided by University of Illinois at Urbana-Champaign, College of Business in its series Working Papers with number 02-0110.
Date of creation: May 2002
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