A partial taxonomy of judgment aggregation rules, and their properties
This work provides a structured taxonomy for researchers in social choice theory and judgment aggregation, but it is incremental as it compiles and analyzes existing rules without introducing new ones.
The paper organizes and analyzes judgment aggregation rules from recent literature, focusing on their properties such as majority-preservation, unanimity, monotonicity, homogeneity, and reinforcement, and identifies which rules satisfy these properties.
The literature on judgment aggregation is moving from studying impossibility results regarding aggregation rules towards studying specific judgment aggregation rules. Here we give a structured list of most rules that have been proposed and studied recently in the literature, together with various properties of such rules. We first focus on the majority-preservation property, which generalizes Condorcet-consistency, and identify which of the rules satisfy it. We study the inclusion relationships that hold between the rules. Finally, we consider two forms of unanimity, monotonicity, homogeneity, and reinforcement, and we identify which of the rules satisfy these properties.