AnarchyChess

Both of these are waaaaaay to strong. Landlord just "culls" the Queen first turn. Or why not just the king?

Oligarch may also may just end in repeated moves. White uses oligarch to move black piece to bad position. Black moves same piece to good position again. One round wasted without any change to board.

Also, chess is based on the premise that you have to move a piece every turn and if you can't, the game is a draw. Both of your pieces work by not moving.