Geodesic
Partial sums of antagonistic games and their applications
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 16 (2024) no. 4, pp. 21-44

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An abstract algebraic approach to the formation of high-dimensional matrix games is proposed. The considered class of games includes, in particular, statistical games. A general method for constructing randomized decision rules for the problem of estimating the parameter of a discrete random variable is discussed. For economically significant tasks, the cost of additional observation is calculated.
Keywords: zero-sum game, non-cooperative game, large payoff matrices, partial sum games.
Mots-clés : matrix game 
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     author = {Mihail M. Lutsenko},
     title = {Partial sums of antagonistic games and their applications},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
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     publisher = {mathdoc},
     volume = {16},
     number = {4},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2024_16_4_a1/}
}
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Mihail M. Lutsenko. Partial sums of antagonistic games and their applications. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 16 (2024) no. 4, pp. 21-44. http://geodesic.mathdoc.fr/item/MGTA_2024_16_4_a1/