Condorcet Domains: The Mathematics of Coherent Collective Decision-Making

This book offers a comprehensive account of Condorcet domains—structured sets of preference orders in which the pairwise majority relation remains transitive for any odd-numbered group of voters. These domains form the foundation for normatively robust voting procedures and enable strong possibility results in incentive-compatible mechanism design.

Well-known examples include single-peaked, single-crossing, and group-separable domains. The study of Condorcet domains bridges multiple discipli...