We develop a theoretical framework for equity in council voting games (CVGs). In a CVG, a fully representative voting body delegates decision-making to a subset of the members, as describes, e.g., the United Nations Security Council (UNSC). Three equity concepts are proposed: ex-ante...

Twenty years of negotiations over reform of the United Nations Security Council (UNSC) are yet to bear fruit. We use recent advances in the theory of a-priori voting power to present a formal quantitative appraisal of the structural reforms contained within eleven current reform proposals, and...

The ex ante incentive compatible core of an exchange economy with private information is the (standard) core of a socially designed characteristic function, which expresses the fact that coalitions allocate goods by means of random incentive compatible mechanisms. We first survey some results in...

We develop a dynamic model in which a group collectively bargains with an external party. At each date the group makes an offer to the external party (the 'agent') in exchange for a concession. Group members hold heterogeneous preferences over agreements and are uncertain about the agent's...