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From a given preference structure (not the utility function), how can one tell if it satisfies the continuity axiom of preferences?

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  • $\begingroup$ Can you elicit preferences on infinitely many pairs of bundles of your choosing? That is, for any two bundles A and B, can you always elicit which one the household prefers? $\endgroup$ – BKay Oct 6 '15 at 13:19
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By trying to prove whether the following holds.

Note: Image taken from http://www.econ.ucla.edu/iobara/lecturepreferenceandutility201a.pdf

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    $\begingroup$ note: I was being sarcastic. $\endgroup$ – ramazan Oct 6 '15 at 6:07

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