most recent 30 from http://mathoverflow.net 2013-05-20T11:31:16Z http://mathoverflow.net/feeds/question/83847 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/83847/a-game-in-combinatorial-game-theory P.-S. Park 2011-12-19T05:40:14Z 2011-12-19T06:13:18Z

<p>I have been reading the Winning Ways, the bible (?) of Combinatorial Game Theory.</p> <p>I tried to calculate some games of the form {L|R}. But it is not easy to me.</p> <p>For example, I don't know what {$\uparrow$,$\ast$ | $\downarrow$,$\ast$} is.</p> <p>The game, say $G$, is fuzzy and $G+G=0$.</p> <p>So I thought that the game might be $\ast$. </p> <p>But $G+\ast$ is still fuzzy. Moreover $G+*n ~||~ 0$. Thus G is not an impartial game.</p> <p>I think $G$ can be simplified to the comibination of several symbols like $\ast$ or nimbers. But I have no idea.</p> <p>Teach me, please.</p>