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Journal of Automation and Information Sciences

年間 12 号発行

ISSN 印刷: 1064-2315

ISSN オンライン: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

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

巻 47, 発行 2, 2015, pp. 77-86
DOI: 10.1615/JAutomatInfScien.v47.i2.80
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要約

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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