Quick reference of relations among judgment aggregation rules
Researchers | Judgment aggregation rules | |||||
---|---|---|---|---|---|---|
Lang, Pigozzi, Slavkovik, van der Torre, Vesic |
MSA | MCSA | MWA | RA | MNAC | Young |
Nehring, Pivato, Puppe |
Condorcet admissible set | Slater Rule | Median Rule | |||
Miller, Osherson |
Endpoint+H.D. | Prototype+H.D. | Full+H.D. | |||
Dietrich | Simple Scoring Rule | |||||
Everaere Konieczny Marquis |
similar, but not the same | |||||
Nehring Pivato |
LexiMin similar, but not the same | |||||
Voting rules | ||||||
+ Tr.C.= Voting Rule | Top Cycle | Slater | Kemeny | Ranked Pairs | ||
+ W.C. = Voting Rule | Copeland | Maximin | Weak Young | |||
Majority Preserving | yes | yes | yes | yes | yes | yes |
Complexity of deciding if a judgment is in all collective judgment sets | ΠP 2-c |
ΘP 2-c |
ΘP 2-h |
ΠP 2-c |
ΘP 2-c |
Legend:
H.D.= Hamming distance
Tr.C. = Transitivity Constraint
W.C. = Dominance Constraint