Playing with a capped piece is a Chess handicap.

Chess handicap - One of the players gives a handicap to the other player, usually starting the game without a certain piece.

Chess handicap applies to chess competitions.

Returning to chess competition in the mid-1830s, Deschapelles continued his trademark of always giving his opponents "odds" (see chess handicap).

The material handicaps given in the Challenge games can be roughly equated to chess handicaps as a proportion of the total material on the board in each game.

Arimaa handicaps of rabbit, dog, horse, and camel are roughly equivalent to chess handicaps of pawn, two pawns, knight, and rook respectively.