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The relation between eigenvalue/eigenvector and matrix game

Computer Science and Game Theory 2020-12-03 v1

Abstract

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.

Cite

@article{arxiv.2012.01269,
  title  = {The relation between eigenvalue/eigenvector and matrix game},
  author = {Haolin Liu},
  journal= {arXiv preprint arXiv:2012.01269},
  year   = {2020}
}

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4 pages