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Final Topology for Preference Spaces

Pablo Schenone

The BE Journal of Theoretical Economics2025https://doi.org/10.1515/bejte-2024-0037article
AJG 2ABDC A
Weight
0.50

What the paper says

We say a model is continuous in utilities (resp., preferences) if small perturbations of utility functions (resp., preferences) generate small changes in the model’s outcomes. While similar, these two questions are different. They are only equivalent when the following two sets are isomorphic: the set of continuous mappings from preferences to the model’s outcomes, and the set of continuous mappings from utilities to the model’s outcomes. In this paper, we study the topology for preference spaces defined by such an isomorphism. This study is practically significant, as continuity analysis is predominantly conducted through utility functions, rather than the underlying preference space. Our findings enable researchers to extrapolate continuity in utility as indicative of continuity in underlying preferences.

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https://doi.org/https://doi.org/10.1515/bejte-2024-0037

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@article{pablo2025,
  title        = {{Final Topology for Preference Spaces}},
  author       = {Pablo Schenone},
  journal      = {The BE Journal of Theoretical Economics},
  year         = {2025},
  doi          = {https://doi.org/https://doi.org/10.1515/bejte-2024-0037},
}

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Final Topology for Preference Spaces

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Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.