Parthasarathy, T.; Ravindran, G. The Jacobian matrix, global univalence and completely mixed games. (English) Zbl 0652.26016 Math. Oper. Res. 11, 663-671 (1986). We prove global univalence results in \(R^ 4\) when the Jacobian matrices are of the Leontief type. Proofs of these make use of ideas from Gale- Nikaido and some nice game theoretic results on completely mixed games. Cited in 6 Documents MSC: 26B10 Implicit function theorems, Jacobians, transformations with several variables 90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) 91A05 2-person games 91B66 Multisectoral models in economics Keywords:global univalence results; Jacobian matrices; Leontief type; completely mixed games × Cite Format Result Cite Review PDF Full Text: DOI