Axiomatic Social Choice Theory

In “Ordered Conflict Resolution,” I revealed two ordered conflict resolution–enabling axioms: the APPGIT Constraint (only one perspective voice changes at a time, else the result is illusory) and the APPGIT Compliant Progression (must change the lowest order perspective voice, which enables quaternary order progression). Such ethics-based axiomatic resolution avoids APPGIT’s illusory consequences. More important, Ordered Relations Theory’s two axioms ultimately enable (individual: society) well-being transitivity inasmuch as they impound Social Choice Theory’s impossibility theorem, impossibility-resolving axioms, and all such further regressive impossibility theorems and impossibility-resolving axioms. Ergo, Axiomatic Social Choice Theory is concomitantly Axiomatic Ordered Relations Theory derived and regressively axiomatic theory empowering.