On monotone completion of risk markets: Limit results for incomplete risk markets
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910919046463488 |
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| author | Khajepour, Iman Pritchard, Geoffrey Ralph, Danny Zakeri, Golbon |
| author_facet | Khajepour, Iman Pritchard, Geoffrey Ralph, Danny Zakeri, Golbon |
| contents | We consider a competitive market with risk-averse participants. We assume that agents' risks are measured by coherent risk measures introduced by Artzner et al. (1999). Fundamental theorems of welfare economics have long established the equivalence of competitive equilibria and system welfare optimization (see, e.g., Samuelson (1947)). These have been extended to the case of risk-averse agents with complete risk markets in Ralph and Smeers (2015). In this paper, we consider risk trading in incomplete markets and introduce a mechanism to complete the market iteratively while monotonically enhancing welfare. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18436 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On monotone completion of risk markets: Limit results for incomplete risk markets Khajepour, Iman Pritchard, Geoffrey Ralph, Danny Zakeri, Golbon Optimization and Control Risk Management We consider a competitive market with risk-averse participants. We assume that agents' risks are measured by coherent risk measures introduced by Artzner et al. (1999). Fundamental theorems of welfare economics have long established the equivalence of competitive equilibria and system welfare optimization (see, e.g., Samuelson (1947)). These have been extended to the case of risk-averse agents with complete risk markets in Ralph and Smeers (2015). In this paper, we consider risk trading in incomplete markets and introduce a mechanism to complete the market iteratively while monotonically enhancing welfare. |
| title | On monotone completion of risk markets: Limit results for incomplete risk markets |
| topic | Optimization and Control Risk Management |
| url | https://arxiv.org/abs/2504.18436 |