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.Bargaining Solutions, Pre-donation, Kalai-Smorodinsky

Topological semivector spaces; convexity and fixed point theory

Also as Working paper 112-72 from the Graduate School of Management, Northwestern University, Evanston, Illinois

Bargaining over a finite set of alternatives

We analyze bilateral bargaining over a finite set of alternatives. We look for “good” ordinal solutions to such problems and show that Unanimity Compromise and Rational Compromise are the only bargaining rules that satisfy a basic set of properties. We then extend our analysis to admit problems with countably infinite alternatives. We show that, on this class, no bargaining rule choosing finite subsets of alternatives can be neutral. When rephrased in the utility framework of Nash (1950), this implies that there is no ordinal bargaining rule that is finite-valued

The n-Person Kalai-Smorodinsky Bargaining Solution under Pre-Donations

Abstract This study examines the behavior of simple n-person bargaining problems under pre-donations where the Kalai-Smorodinsky (KS) solution is operant. Pre-donations are a unilateral commitment to transfer a portion of one's utility to someone else, and are used to distort the bargaining set and thereby influence the bargaining solution. In equilibrium, these pre-donations are Pareto-improving over the undistorted solution; moreover, when the agents' preferences are sufficiently distinct, the equilibrium solution coincides with the Concessionary Division rule