Bashni Poddavki (башни поддавки) or Stolbovye Poddavki (Столбовые поддавки) is the misère variant of Bashni. It is also called Suicide Bashni in the west. Although it doesn't appear to be very popular in Russia (it is occasionally mentioned in the Russian checkers literature), the game has been implemented on igGameCenter.
The winner is the first player to have no legal move: that is, all of whose pieces are lost or blocked. Otherwise the rules are the same as for Bashni.