A discrete multivariate mean value theorem with applications

Dolf Talman () and Zaifu Yang
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Zaifu Yang: Tilburg University, Center for Economic Research

No 106, Discussion Paper from Tilburg University, Center for Economic Research

Abstract: We establish a discrete multivariate mean value theorem for the class of positive maximum component sign preserving functions. A constructive and combinatorial proof is given based upon a simplicial algorithm and vector labeling. Moreover, we apply this theorem to a discrete nonlinear complementarity problem and an economic equilibrium problem with indivisibilities and show the existence of solution in both problems under certain mild conditions.

Keywords: 47H10; 54H25; 55M20; 90C33; 91B50 (search for similar items in EconPapers)
JEL-codes: C61 C62 C68 C72 (search for similar items in EconPapers)
Date: 2006
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Journal Article: A discrete multivariate mean value theorem with applications (2009)
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Persistent link: http://EconPapers.repec.org/RePEc:dgr:kubcen:2006106

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