Geodesic
On the Metric Approach in the Theory of Matrix Games
Contributions to game theory and management, Tome 3 (2010), pp. 22-28

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It is considered the problem connected with the combinatorial metric approach to the notion of solution of matrix games. According to this approach it is searched a matrix $B$ that possesses equilibrium and is the closest to the given matrix $A$ in the sense of some metric $d(A, B).$ In the case when $d(A,B)$ is the number of pairs $(i,j)$ such that $a_{ij} \neq b_{ij}$ it is established some properties of the quantity $\max_A\min_B d(A,B)$.
Keywords: matrix game, equilibrium situation, metrics, combinatorial approach. 
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     author = {{\CYRA}bdulla A. Azamov},
     title = {On the {Metric} {Approach} in the {Theory} of {Matrix} {Games}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2010_3_a2/}
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Аbdulla A. Azamov. On the Metric Approach in the Theory of Matrix Games. Contributions to game theory and management, Tome 3 (2010), pp. 22-28. http://geodesic.mathdoc.fr/item/CGTM_2010_3_a2/