Bimatrix Equilibrium Points and Mathematical Programming
Some simple constructive proofs are given of solutions to the matric system Mz - \omega - q; z \geqq 0; \omega \geqq 0; and z T \omega - 0, for various kinds of data M, q, which embrace the quadratic programming problem and the problem of finding equilibrium points of bimatrix games. The general scheme is, assuming non-degeneracy, to generate an adjacent extreme point path leading to a solution. The scheme does not require that some functional be reduced.
Volume (Year): 11 (1965)
Issue (Month): 7 (May)
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