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自动化与信息科学期刊
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

卷:
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自动化与信息科学期刊

DOI: 10.1615/JAutomatInfScien.v47.i2.80
pages 77-86

Discretization of Continuum Antagonistic Game on Unit Hypercube and Transformation of Multidimensional Matrix for Solving of the Corresponding Matrix Game

Vadim V. Romanuke
Khmelnitskiy National University, Khmelnitskiy

ABSTRACT

Method for determination of approximate solution for continuum antagonistic games on unit multidimensional cube by means of regular discretization by every dimension was proposed. To this end conditions of correct discretization of game kernel and relations, by which transformation of multidimensional matrix to linear two-dimensional one with conservation of one-one indexing of their elements, were represented. Solution of the corresponding matrix game is tested for consistency; we proposed conditions, which make it possible to evaluate variation of this solution for minimal variation of discretization step.


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