Adaptive Play in Multiplayer Bargaining Situations

We study the dual issues of allocation and coalition formation in a model of so-cial learning. For a class of economies which can be expressed in terms of a real valued char-acteristic function, we first show that all self-perpetuating (steady-state) allocations realized froma simple bargaining game must be core allocations although players make simultaneous demands for surplus and only on their own behalf. We also exhibit a a sufficient condition for global (probabilistic) convergence to the core.