RT Journal Article
ID 728b24b71414f2c9
A1 Petrov, Nikolay N.
A1 Protasova, E. A. 
T1 Games With Polynomials
JF Journal of Automation and Information Sciences
JO JAI(S)
YR 1997
FD 1997-07-01
VO 29
IS 2-3
SP 169
OP 178
AB The following class of antagonistic differential games is considered. A polynomial <i>f(x)</i> &#61;<i> x<sup>m</sup></i> &#43; <i>a</i><sub>1</sub><i>x<sup>m&minus;</i>1</sup> &#43; ... &#43; <i>a<sub>m</sub></i>,<i> </i>m</i> &#8805; 1, is given. Two players replace in turn one of the coefficients <i>a<sub>i</sub></i> by an arbitrary real number (each coefficient is used one time only); moreover one of the players aims to make the equation <i>f</i> such that it has the maximum possible number of pairwise distinct real roots. The aim of the second player is opposite.


PB Begell House
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