Arrow's impossibility theorem: Difference between revisions

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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 efficiency]]''': if every individual prefers a certain option to another, then so must the resulting societal preference order.
* '''unanimity''' or '''[[Pareto criterion|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.