A discrete multivariate mean value theorem with applications

Adolphus Talman and Zaifu Yang

European Journal of Operational Research, 2009, vol. 192, issue 2, 374-381

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 solutions in both problems under certain mild conditions.

Keywords: Discrete; set; Mean; value; theorem; Fixed; point; Algorithm; Equilibrium; Complementarity (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:192:y:2009:i:2:p:374-381

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