An elevator car arrangement for a double-deck elevator has a car frame; a first car coupled to the car frame; a second car arranged on the car frame above or below the first car and coupled to the car frame so as to be movable in a vertical direction relative to the car frame and relative to the first car; a push chain coupled, with a first end of a force absorption section of the push chain, to the first car or to the car frame, and with an opposite, second end of the force absorption section to the second car, and is arranged such that the second car exerts a pressure load on the force absorption section due to gravity; and a drive device coupled to the push chain to displace the second car in the vertical direction relative to the first car by the push chain.