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The Jacobian matrix, global univalence and completely mixed games. (English) Zbl 0652.26016

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.

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
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