Random Utility with Aggregation

Fuente: arXiv
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Hauptverfasser: Liao, Yuexin, Saito, Kota, Sandroni, Alec
Format: Preprint
Veröffentlicht: 2025
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author Liao, Yuexin
Saito, Kota
Sandroni, Alec
author_facet Liao, Yuexin
Saito, Kota
Sandroni, Alec
contents We study random utility (RU) rationality with aggregation when the underlying alternatives in each aggregate vary across consumers and are unobserved, as is typical for an outside option. RUM over the underlying alternatives is the natural assumption on the data generating process, while an aggregated random utility model (ARUM) is the standard empirical tool. We characterize RU rationality in three frameworks and show its testable implications are substantially weaker than those of an ARUM. We provide two independent conditions for their equivalence: non-overlapping preferences within aggregates and menu-independent aggregation. Simulations show that violating either condition produces meaningful estimation bias when imposing an ARUM.
format Preprint
id arxiv_https___arxiv_org_abs_2506_00372
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Random Utility with Aggregation
Liao, Yuexin
Saito, Kota
Sandroni, Alec
Theoretical Economics
We study random utility (RU) rationality with aggregation when the underlying alternatives in each aggregate vary across consumers and are unobserved, as is typical for an outside option. RUM over the underlying alternatives is the natural assumption on the data generating process, while an aggregated random utility model (ARUM) is the standard empirical tool. We characterize RU rationality in three frameworks and show its testable implications are substantially weaker than those of an ARUM. We provide two independent conditions for their equivalence: non-overlapping preferences within aggregates and menu-independent aggregation. Simulations show that violating either condition produces meaningful estimation bias when imposing an ARUM.
title Random Utility with Aggregation
topic Theoretical Economics
url https://arxiv.org/abs/2506.00372