|
Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2013, Volume 5, Issue 3, Pages 58–71
(Mi mgta114)
|
|
|
|
About the one polynomial game
Nikolay N. Petrov Faculty of Mathematics, Udmurt State University, Izhevsk
Abstract:
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.
Keywords:
polynomial game, Nash equilibrium, game value.
Citation:
Nikolay N. Petrov, “About the one polynomial game”, Mat. Teor. Igr Pril., 5:3 (2013), 58–71
Linking options:
https://www.mathnet.ru/eng/mgta114 https://www.mathnet.ru/eng/mgta/v5/i3/p58
|
Statistics & downloads: |
Abstract page: | 315 | Full-text PDF : | 125 | References: | 46 | First page: | 1 |
|