My younger daughter proposes this rule change to the game of draughts (U.S.-checkers).
If one (or more) of your pieces has become a king (i.e., has reached the far row and been doubled up to indicate that it can now move backward as well as forward) then, *instead of* making a normal move, you may transfer that doubling-up piece (that marks a king) to another of your pieces which is not already a king, and which may have a greater need for it.
Of course, you can always reverse this transfer on a later turn.-- pertinax, Nov 27 2008 The chess equivalent Usurp_20ChessMakes for an interesting variant. [theleopard, Dec 01 2008] I'd call it a coup d'etat, rather than an abdication, and the piece that reached the other side must be removed from the board. Power is rarely transferred peacefully in a monarchy with a living ex-sovereign.-- snoyes, Nov 27 2008 //It could interfere too much with the 'must take' rule, which is often used to good effect to remove opponents' newly crowned kings.//
Just say that if you are in a 'must take' situation, you can't abdicate that turn.
There should also be a rule along the lines of 'if you abdicate on one turn, you are obliged to move a piece, rather than abdicate again, on the next turn' to prevent someone drawing by abdicating turn after turn if they have one king and one normal pieces left.
[+] for the same reasons as [boysparks]-- imaginality, Nov 27 2008 halfbakery