Mathematics of Operations Research
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MATHEMATICS OF OPERATIONS RESEARCH
Vol. 11, No. 4, November 1986, pp. 663-671
DOI: 10.1287/moor.11.4.663
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The Jacobian Matrix, Global Univalence and Completely Mixed Games

T. Parthasarathy, G. Ravindran

Indian Statistical Institute, Delhi Centre, New Delhi 110016, India
Indian Statistical Institute, Delhi Centre, New Delhi 110016, India

In this paper we prove global univalence results in R4 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 due to Kaplansky.

Key Words: global univalence; Jacobian matrix; completely mixed games





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