Single-crossing choice correspondences
Matheus Costa (),
Paulo Henrique Ramos () and
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Matheus Costa: University of Brasília
Paulo Henrique Ramos: University of Chicago
Social Choice and Welfare, 2020, vol. 54, issue 1, No 3, 69-86
Abstract We characterize choice correspondences that can be justified by a collection of preferences that satisfy the single-crossing and/or single-peak properties. These are properties vastly used in the applied literature, often in the context of parametric families of objective (utility) functions that satisfy them. Apesteguia et al. (Econometrica 85(2):661–674, 2017) characterize random utility models that satisfy those properties, and we provide similar results in the context of choice correspondences that admit a pseudo-rational or justifiable choice representation. These results might be useful for researchers in situations where it is not possible to work with random utility models or parametric families of objective (utility) functions. In addition, we use them to discuss some aspects of the connection between deterministic and stochastic choice.
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