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