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We model each choice as a realized outcome of an underlying utility model: surfing a profile or subsequently, writing suggests that the profile's characteristics are rather desirable.
We use piecewise linear splines to identify potential "discontinuities" in the slope of individuals' utility functions 9. Splines consist of linear functions joined at points. If knot positions are known in advance--for example, a downturn in utility for guys under a given height--estimating the slopes of each of the part linear functions is quick and straightforward; nonetheless, here, we seek to identify both the slopes and the knots themselves, which are highly nontrivial The key impediment to efficient estimation is that the space of all possible knots is normally quite large for our final model, on the order of actually , and for that reason, brute force exhaustive search is out of the question.
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