Geodesic
About the one polynomial game
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 5 (2013) no. 3, pp. 58-71

Voir la notice de l'article provenant de la source Math-Net.Ru

Game value has been calculated and has been found by Nash player's strategies in zero-sum game in which players alternately change the coefficients of polynomial $f(x)=x^n+a_{n-1}x^{n-1}+\dots+a_1x-1$ with real numbers. One of the players is interested to maximize the number of different roots of the polynomial. The opponent has the opposite goal.
Mots-clés : polynomial game
Keywords: Nash equilibrium, game value. 
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     author = {Nikolay N. Petrov},
     title = {About the one polynomial game},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {58--71},
     publisher = {mathdoc},
     volume = {5},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2013_5_3_a2/}
}
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Nikolay N. Petrov. About the one polynomial game. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 5 (2013) no. 3, pp. 58-71. http://geodesic.mathdoc.fr/item/MGTA_2013_5_3_a2/