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- W4313304822 abstract "Consider a population of heterogenous agents whose choice behaviors are partially comparable according to given primitive orderings. The set of choice functions admissible in the population specifies a choice model. A choice model is self-progressive if each aggregate choice behavior consistent with the model is uniquely representable as a probability distribution over admissible choice functions that are comparable. We establish an equivalence between self-progressive choice models and well-known algebraic structures called lattices. This equivalence provides for a precise recipe to restrict or extend any choice model for unique orderly representation. To prove out, we characterize the minimal self-progressive extension of rational choice functions, explaining why agents might exhibit choice overload. We provide necessary and sufficient conditions for the identification of a (unique) primitive ordering that renders our choice overload representation to a choice model." @default.
- W4313304822 created "2023-01-06" @default.
- W4313304822 creator A5084436694 @default.
- W4313304822 date "2022-12-27" @default.
- W4313304822 modified "2023-10-18" @default.
- W4313304822 title "Foundations of self-progressive choice models" @default.
- W4313304822 doi "https://doi.org/10.48550/arxiv.2212.13449" @default.
- W4313304822 hasPublicationYear "2022" @default.
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