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Journal of the London Mathematical Society 1965 s1-40(1):467-477; doi:10.1112/jlms/s1-40.1.467
© 1965 by London Mathematical Society
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© Oxford University Press

On Positive Game Matrices and Their Extensions

T. E. S. Raghavan

Indian Statistical Institute 203 Barrackpore Trunk Road, Calcutta 35, India

In this paper we study some relations between the optimal strategies, the characteristic roots and the characteristic vectors of a positive square matrix whose rows and columns correspond to the pure strategy spaces of players in a zero-sum two-person game. Further we study a property of the game values of positive matrices that commute. The results are extended to infinite games on the unit square, with positive kernels as pay-off functions.


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