| 王建华.矩阵对策鞍点定理的归纳法证明(英文)[J].数学研究及应用,1983,3(1):142~144 |
| 矩阵对策鞍点定理的归纳法证明(英文) |
| Inductive Proof of a Saddle Point Theorem |
| 投稿时间：1982-01-30 |
| DOI：10.3770/j.issn:1000-341X.1983.01.039 |
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| Many proofs have been published for the minimax theorem, and all the published inductive proofs have been indirect ones. It has been pointed out that a direct inductive proof is needed, especially for instructional purposes, since indirect proofs are more or less implicit in nature. Such a direct proof is given in [4]. Now the minimax theorem can be stated equivalently in terms of saddle point; And it is the object of the present paper to give a direct inductive proof for the saddle point version of this theorem. |
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