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Arrow's impossibility theorem: Difference between revisions
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The theorem’s content, somewhat simplified, is as follows.
A society needs to agree on a [[preference]] order among several different options. Each individual in the society has a particular personal preference order. The problem is to find a general mechanism, called a ''social choice function,'' which transforms the set of preference orders, one for each individual, into a global societal preference order. This social choice function should have several desirable (“fair”) properties:
* '''unrestricted domain''' or
* '''non-imposition''' or '''citizen sovereignty''': every possible societal preference order should be achievable by some set of individual preference orders. (Every result must be achievable somehow.)
* '''non-dictatorship''': the social choice function should not simply follow the preference order of a single individual while ignoring all others.
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