Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (4): 513-520.

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The Continuity of NonArbitrage Budget Correspondence

  

  1. (Department of Mathematics, Centre China Normal University, Wuhan 430079)
  • Online:2000-09-08 Published:2000-09-08

Abstract:

The budget constraints with imcomplete markets are nonlinear setvalued mappings from product space of price simplex and Grassman manifold to commodity space when consumers' preferences are convex. In order to study the existence of general equilibrium in this modle, we investigated the set-valued mappings and proved that nonarbitrage budget correspondences are continuous.

Key words: Budget correspondence, Grassman manifold, Continuity

CLC Number: 

  • 90A
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