A discrete multivariate mean value theorem with applications

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.

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Year of publication:	2009
Authors:	Talman, Dolf ; Yang, Zaifu
Published in:	European Journal of Operational Research. - Elsevier, ISSN 0377-2217. - Vol. 192.2009, 2, p. 374-381
Publisher:	Elsevier
Keywords:	Discrete set Mean value theorem Fixed point Algorithm Equilibrium Complementarity

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10005152030