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 solution in both problems under certain mild conditions

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Year of publication:	[2006]
Authors:	Talman, Dolf
Other Persons:	Yang, Zaifu (contributor)
Publisher:	[2006]: [S.l.] : SSRN
Subject:	Theorie \| Theory \| Multivariate Analyse \| Multivariate analysis

Extent:	1 Online-Ressource (15 p)
Series:	CentER Discussion Paper ; No. 2006-106
Type of publication:	Book / Working Paper
Language:	English
Notes:	Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments October 2006 erstellt
Other identifiers:	10.2139/ssrn.945598 [DOI]
Classification:	C61 - Optimization Techniques; Programming Models; Dynamic Analysis ; C62 - Existence and Stability Conditions of Equilibrium ; C68 - Computable General Equilibrium Models ; C72 - Noncooperative Games ; c58
Source:	ECONIS - Online Catalogue of the ZBW

Persistent link: https://ebvufind01.dmz1.zbw.eu/10012732574