Three brief proofs of Arrow's Impossibility Theorem¶
Geanakoplos, J. (2005). Three brief proofs of Arrow's Impossibility Theorem. Economic Theory.
Cited by¶
1 citation across 1 artifact.
Domain-specific¶
- Arrow's Impossibility Theorem
- The result holds for any finite number of individuals and any finite set of three or more alternatives, and the proof proceeds by showing that the first three axioms force the existence of a "decisive" individual whose preferences are always followed, which is the definition of a dictator
Supported in partVerified against a saved copy of the source
“Arrow's original proof of his impossibility theorem proceeded in two steps: showing the existence of a decisive voter, and then showing that a decisive voter is a dictator.”
- The result holds for any finite number of individuals and any finite set of three or more alternatives, and the proof proceeds by showing that the first three axioms force the existence of a "decisive" individual whose preferences are always followed, which is the definition of a dictator
Verification¶
Does it exist? Not checked yet. This work's DOI is recorded above but has not been resolved against an external catalogue, so nothing here confirms the work exists.
Does it back the claim? Read against the text for 1 of 1 citation: 1 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:552b3f4a53bd · see in the full table