JournalsprimsVol. 42 , No. 2DOI 10.2977/prims/1166642107

On Flatness and Tameness of Classes of Impartial Games

  • Kô Sakai

    University of Tsukuba, Ibaraki, Japan
  • Tatsuya Yamada

    University of Tsukuba, Ibaraki, Japan
On Flatness and Tameness of Classes of Impartial Games cover

Abstract

For analyzing impartial games played in the mis`re rule, Yamasaki defined flate ness of games, while Conway defined tameness. In this paper, we prove that these two concepts are equivalent.