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Testing Distributional Dependence in the Becker-DeGroot-Marschak ...

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<strong>in</strong>dividually. In an experimental sett<strong>in</strong>g <strong>the</strong>re is a nontrivial risk that some seem<strong>in</strong>gly <strong>in</strong>nocuous<br />

number unexpectedly serves as an anchor po<strong>in</strong>t for subjects’ perceptions of <strong>the</strong> bounds or shape<br />

of <strong>the</strong> distribution. 49<br />

Ano<strong>the</strong>r—although probably lesser—concern is <strong>the</strong> credibility of <strong>the</strong> experiment and<br />

experimenter. Reveal<strong>in</strong>g <strong>the</strong> distribution of random prices to subjects offers greater transparency;<br />

hid<strong>in</strong>g it has <strong>the</strong> potential to raise suspicion among subjects. Regardless of what <strong>the</strong>ir valuations<br />

for an item or <strong>the</strong>ir beliefs about probabilities might be, it’s important that subjects <strong>in</strong> economics<br />

experiments can trust that <strong>the</strong>y aren’t be<strong>in</strong>g deceived. Offer<strong>in</strong>g up front to reveal <strong>the</strong><br />

distribution after <strong>the</strong> resolution of <strong>the</strong> BDM mechanism or at <strong>the</strong> conclusion of <strong>the</strong> experiment<br />

(as <strong>in</strong> Bohm, et al.) seems an em<strong>in</strong>ently appropriate precaution.<br />

It is an open question whe<strong>the</strong>r nondisclosure will yield subject responses that are more<br />

accurate reflections of subject valuations, and fur<strong>the</strong>r study should be undertaken.<br />

5.5 Implications for Research<br />

The f<strong>in</strong>d<strong>in</strong>gs of this experiment suggest that <strong>in</strong> design<strong>in</strong>g experiments us<strong>in</strong>g <strong>the</strong> BDM<br />

mechanism, care should be taken not to use a distribution where <strong>the</strong> subject responses are<br />

expected to lie at one of <strong>the</strong> extremes of <strong>the</strong> support. Given <strong>the</strong> mass-seek<strong>in</strong>g tendency of most<br />

subjects, when elicitations are found to be generally lower (higher) than <strong>the</strong> mean of <strong>the</strong><br />

distribution of random prices used, added caution is warranted when draw<strong>in</strong>g an <strong>in</strong>ference that<br />

<strong>the</strong>se responses are significantly higher (lower) than a given level.<br />

As po<strong>in</strong>ted out by Mazar, et al., studies that rely on <strong>the</strong> BDM mechanism to obta<strong>in</strong> absolute<br />

estimates of valuations for specific goods will be <strong>the</strong> most sensitive to any effects of distributional<br />

dependence. Studies that use <strong>the</strong> BDM mechanism to determ<strong>in</strong>e merely relative valuations<br />

between goods will be more robust—provided that <strong>the</strong> same distribution of random prices is used<br />

for each of <strong>the</strong> goods be<strong>in</strong>g compared.<br />

49 For more on anchor<strong>in</strong>g, see Tversky and Kahneman (1974).<br />

36

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