Future-blindness and the product topology
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911427879501824 |
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| author | Andrade, Marcel Bastianello, Lorenzo Orrillo, Jaime |
| author_facet | Andrade, Marcel Bastianello, Lorenzo Orrillo, Jaime |
| contents | We study future-blind preferences, which are preferences that heavily discount the future, within the space of infinite consumption streams. We give two definitions: $N$-blindness, where agents ignore periods beyond a fixed date $N$, and eventual blindness, where all but finitely many dates are neglected. Using a topological approach, we show that the finest topology ensuring eventual blindness coincides with the product topology. This provides a behavioral foundation for continuity in the product topology, which was considered for studying equilibrium existence in infinite-dimensional spaces. Finally, we characterize the dual spaces under these topologies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_06672 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Future-blindness and the product topology Andrade, Marcel Bastianello, Lorenzo Orrillo, Jaime Theoretical Economics We study future-blind preferences, which are preferences that heavily discount the future, within the space of infinite consumption streams. We give two definitions: $N$-blindness, where agents ignore periods beyond a fixed date $N$, and eventual blindness, where all but finitely many dates are neglected. Using a topological approach, we show that the finest topology ensuring eventual blindness coincides with the product topology. This provides a behavioral foundation for continuity in the product topology, which was considered for studying equilibrium existence in infinite-dimensional spaces. Finally, we characterize the dual spaces under these topologies. |
| title | Future-blindness and the product topology |
| topic | Theoretical Economics |
| url | https://arxiv.org/abs/2602.06672 |