When delegations to an assembly or council represent differently sized constituencies, they are often allocated voting weights which increase in population numbers (EU Council, US Electoral College, etc.). The Penrose square root rule (PSRR) is the main benchmark for fair representation of all...

Chapter 1. Introduction -- Part I. Social Choice -- Chapter 2. Building Bridges over the Great Divide -- Chapter 3. Social Unacceptability for Simple Voting Procedures -- Chapter 4. Probability of Majority Inversion with Three States and Interval Preferences -- Chapter 5. Strategic Voting and...

One feature of legislative bargaining in naturally occurring settings is that the distribution of seats or voting weights often does not accurately reflect bargaining power. Game-theoretic predictions about payoffs and coalition formation are insensitive to nominal differences in vote...

Political and economic institutions are typically governed by committees that face the challenge to reconcile the preferences of their members. How should decision rules be designed to generate fair and sustainable agreements, for example if committee members represent groups of different sizes?...