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Equations on the Derivatives of an Initial Endowment-Competitive Equilibrium Mapping for an Exchange Economy


  • Williams, Steven R.

    (U of Illinois at Urbana-Champaign)


Consider 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.

Suggested Citation

  • Williams, Steven R., 2002. "Equations on the Derivatives of an Initial Endowment-Competitive Equilibrium Mapping for an Exchange Economy," Working Papers 02-0110, University of Illinois at Urbana-Champaign, College of Business.
  • Handle: RePEc:ecl:illbus:02-0110

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    References listed on IDEAS

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    9. John H. Nachbar, 2002. "General Equilibrium Comparative Statics," Econometrica, Econometric Society, vol. 70(5), pages 2065-2074, September.
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