Abstract <p>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 a parameter of a discrete random variable is discussed. For economically significant tasks, the cost of an additional observation is calculated.</p>

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Partial Sums of Zero-Sum Games and Their Applications

  • M. M. Lutsenko

摘要

Abstract

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 a parameter of a discrete random variable is discussed. For economically significant tasks, the cost of an additional observation is calculated.