Skorokhod Transition in the Conic Market Model
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912571539324928 |
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| author | Sidorenko, Artur |
| author_facet | Sidorenko, Artur |
| contents | This paper examines the applicability of the Skorokhod representation theorem in filtrated probability spaces for the utility maximization problem in the Kabanov conic model of multi-asset markets with proportional transaction costs. A key challenge is that the theorem does not necessarily preserve adaptedness, meaning that solutions obtained on an auxiliary probability space may not correspond to those on the original one. We establish that, under mild conditions, the Bellman functionals remain consistent across different probability spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04608 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Skorokhod Transition in the Conic Market Model Sidorenko, Artur Probability 60H30 (Primary), 91G10 (Secondary) This paper examines the applicability of the Skorokhod representation theorem in filtrated probability spaces for the utility maximization problem in the Kabanov conic model of multi-asset markets with proportional transaction costs. A key challenge is that the theorem does not necessarily preserve adaptedness, meaning that solutions obtained on an auxiliary probability space may not correspond to those on the original one. We establish that, under mild conditions, the Bellman functionals remain consistent across different probability spaces. |
| title | Skorokhod Transition in the Conic Market Model |
| topic | Probability 60H30 (Primary), 91G10 (Secondary) |
| url | https://arxiv.org/abs/2509.04608 |