The Kalai-Smorodinsky Bargaining Solution Manipulated by Pre-Donations is Concessionary

This study examines the manipulability of simple n-person bargaining problems by pre-donations where the Kalai-Smorodinsky solution is operant. We extend previous results on the manipulation of two-person bargaining problems to the n-person case and show that in a world where a prebargaining stage is instituted in which the bargainers may unilaterally alter the bargaining problem, bargainers with greater ideal payoffs transform the bargaining set into one on which the Kalai- Smorodinsky solution distributes payoffs in accordance with the Concessionary division rule of disputed property.