Categorical consideration and perception complementarity

We introduce the notion of perception complementarity in a representation for random choice rules, which we call Complemented Perception Categorical Consideration Representation. The model is similar in nature to the perception-adjusted Luce model of Echenique et al. (Math Soc Sci 93:67-76, 2018), but allows perception to be menu-dependent. We provide a representation theorem and an identification result. Furthermore, we consider special cases of the model, including the case when it reduces down to the Random Consideration Set Rule of Manzini and Mariotti (Econometrica 82(3):1153-1176, 2014).

Automated summary

This study introduces the concept of perception complementarity in a representation for random choice rules, providing a representation theorem and identification result, as well as considering special cases. By introducing the Complemented Perception Categorical Consideration Representation, the model offers a more nuanced understanding of decision-making processes.