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It implies, for example, that a life of one year with complete preference satisfaction has the same welfare as a completely fulfilled life of a hundred years, and has higher welfare than a life of a hundred years with all preferences but one satisfied.
Without complete preference, standard representation theorems don't work.
One therefore cannot expect that agents in all cases do come up with a transitive and complete preference ordering.
Still, the challenge is to come up with a complete preference ordering over all outcomes of interest.
The Bayesian decision maker is assumed to make her choices in accordance with a complete preference ordering over the available options.
As noted in Section 4, criticisms of the EU requirement of a complete preference ordering are motivated by both epistemic and desire/value considerations.
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However, in many everyday cases, we do not have, and do not need, complete preferences.
Existing auction mechanisms, which are based on single or multi-attribute utility functions, are only able to represent transitive and complete preferences.
If actual FP use is higher in the study population than the general population in rural Malawi then respondents may have more complete preferences and estimates of the proportion of respondents expected to choose specified service packages may be higher in this population than if similar work was completed with other groups.
You do not have, as economists assume, "complete preferences," but highly incomplete, disjointed, and even unknown preferences for things.
Future investigations will include a more rigorous assessment of testing difficulties and enable investigation of the relationship between cognitive impairment and difficulty understanding and completing preference testing.
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