V-Positivity, Poverses and an Economic Global Unicity Theorem of Gale and Nikaido.
Abstract
Strong theorems concerning globally unique solutions to nonlinear inequalities have been obtained by Gale and Nikaido via P-matrix characterizations of the Jacobians of the mappings involved. The authors introduce two new concepts here: 'v-positivity' and the 'poverse.' These permit the authors to state and prove significant generalizations of the theorems just mentioned and, equally important, provide access to preliminary results concerning linear inequalities by the powerful direct techniques of linear programming theory.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1974
- Accession Number
- ADA005901
Entities
People
- Abraham Charnes
- J. Stutz
- W. Raike
Organizations
- University of Texas at Austin