Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
481177 | European Journal of Operational Research | 2009 | 8 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Dolf Talman, Zaifu Yang,