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Since this is a class of economics students it may well occur to lots of students, not just Pat, that if their contribution to the statue is based on the marginal utility they reveal either by voluntary contribution or by simply stating their preferences, they will be better off claiming to have no interest in the statues, hoping they will be built anyway based on other's contributions.
Suppose DR is the total marginal utility revealed by the students, since so many are trying to free ride. If enough students free ride, as in the graph, no statues will be built at all (probably why there aren't any honoring your prof).
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