Multilateral Bargaining with Subjective Claims

We experimentally investigate the effects of subjective claims in a multilateral bargaining game. Claims are induced by having subjects `produce' the surplus to be divided by earning points in a quiz task. We use a Baron Ferejohn framework. Our main treatment variable is the majority required to pass a proposal. Under unanimity rule, all proposals and agreements constitute convex combinations of the equal split and a division that is proportional to points earned in the productive task. Contrary to our predictions, this pattern largely persists under majority rule. In sharp contrast to prior experiments in which an exogenous surplus is divided using majority rule, few subjects attempt to build minimum winning coalitions in the presence of claims from production. Inefficient delay due to proposal failure is more frequent under unanimity rule, especially in the presence of asymmetric claims. We also find modest evidence that subjects who make proposals that fail are subsequently "punished" under majority rule.