Stability of long run functionals with respect to stationary Markov controls
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917852914647040 |
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| author | Stettner, Lukasz |
| author_facet | Stettner, Lukasz |
| contents | In the paper we study dependence of long run functionals and limit characteristics assuming that Borel measurable Markov controls converge pointwise. We consider two kinds of functionals: average cost per unit time and long run risk sensitive. We impose uniform ergodicity assumption, which is later is relaxed and suitable convergence of controlled transition probabilities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00587 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of long run functionals with respect to stationary Markov controls Stettner, Lukasz Probability Optimization and Control 93E20, 93E15 In the paper we study dependence of long run functionals and limit characteristics assuming that Borel measurable Markov controls converge pointwise. We consider two kinds of functionals: average cost per unit time and long run risk sensitive. We impose uniform ergodicity assumption, which is later is relaxed and suitable convergence of controlled transition probabilities. |
| title | Stability of long run functionals with respect to stationary Markov controls |
| topic | Probability Optimization and Control 93E20, 93E15 |
| url | https://arxiv.org/abs/2412.00587 |