A game in combinatorial game theory - MathOverflow [closed] 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 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>