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arXiv 2012.01269cs.GT
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特征值/特征向量与矩阵对策的关系

The relation between eigenvalue/eigenvector and matrix game

Haolin Liu

摘要:

矩阵对策又称二人零和对策,是对策论中的一个著名模型。关于它有一些成熟的理论,如冯诺依曼极大极小定理。然而,几乎没有文献报道特征值/特征向量与矩阵对策性质之间的关系。本文给出了某些特殊矩阵的这种关系,并试图将某些结论推广到一般矩阵。

英文摘要:

Matrix game, which is also known as two person zero sum game, is a famous model in game theory. There are some well established theories about it, such as von Neumann minimax theorem. However, almost no literature have reported the relationship between eigenvalue/eigenvector and properties of matrix game. In this paper, we find such relation of some special matrices and try to extend some conclusions to general matrix.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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