ABSTRACT
In Misere Nim someone have a number of heaps and the move must reduce the size of any one heap, but whoever eliminates the last heap is now the loser. This will only affect play in the fickle positions when all the non-empty heaps are singletons and the game gets rather boring and mechanical. Since all impartial games reduce to Nim in normal play, and since misère play Nim is only a trivial modification of normal Nim, it has often been thought that misere impartial games must be almost as easy. In ONAG it is proved that the only way a game can be simplified in misère play is by eliminating reversible moves, observing the Endgame Proviso when appropriate. If two games have no reversible moves and look different, they really are different, because there will always be some other game whose addition yields distinct outcomes. Yamasaki independently gives the misere analysis of all these games.
