Abstract

In their discussion of stochastic complementarity, Manzini et al. (2018) show that the intuitively appealing correlation criterion does not—in general—satisfy the axiom of monotonicity: products classified as complements can turn into substitutes following an increase in their joint purchases. In this note, we show that, however, by restricting attention to mixed logit models along the lines of Gentzkow (2007)’s, one can prevent such violations.

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