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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

Games With Polynomials

巻 29, 発行 2-3, 1997, pp. 169-178
DOI: 10.1615/JAutomatInfScien.v29.i2-3.220
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要約

The following class of antagonistic differential games is considered. A polynomial f(x) = xm + a1xm−1 + ... + am, m ≥ 1, is given. Two players replace in turn one of the coefficients ai by an arbitrary real number (each coefficient is used one time only); moreover one of the players aims to make the equation f such that it has the maximum possible number of pairwise distinct real roots. The aim of the second player is opposite.

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