Arrow's impossibility theorem: Difference between revisions

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(Linked to Kenneth Arrow on this wiki, and did some copyediting of the summary, breaking it up into the lead paragraphs, the #Summary section, and the #Notes section)
(→‎Notes: Linking directly to Pareto efficiency)
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== Notes ==
== Notes ==
Another version of Arrow’s theorem can be obtained by replacing the monotonicity criterion with that of:
Another version of Arrow’s theorem can be obtained by replacing the monotonicity criterion with that of:
* '''unanimity''' or '''[[Pareto criterion|Pareto efficiency]]''': if every individual prefers a certain option to another, then so must the resulting societal preference order.
* '''unanimity''' or '''[[Pareto efficiency]]''': if every individual prefers a certain option to another, then so must the resulting societal preference order.
This statement is stronger, because assuming both monotonicity and independence of irrelevant alternatives implies Pareto efficiency.
This statement is stronger, because assuming both monotonicity and independence of irrelevant alternatives implies Pareto efficiency.