A bilevel optiization based algorithm for solving a class of price equilibrium problems
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910761364750336 |
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| author | Hai, Nguyen Ngoc Muu, Le Dung Van Quy, Nguyen |
| author_facet | Hai, Nguyen Ngoc Muu, Le Dung Van Quy, Nguyen |
| contents | We consider class of equilibrium models including the implicit Walras supply-demand and competitive models. Such a model in this class, in general, is ill-posed. We formulate such a model in the form a variational inequality having certain monotonicity property which allow us to describe a regularization algorithm avoiding the ill-posedness based upon the bilevel optimization for fnding a point that is nearest to the given guessed or desired equilibrium price for the model. The obtained computational results with many randomly generated data show that the proposed algorithm works well for this class of the equilibrium models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18114 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A bilevel optiization based algorithm for solving a class of price equilibrium problems Hai, Nguyen Ngoc Muu, Le Dung Van Quy, Nguyen Optimization and Control We consider class of equilibrium models including the implicit Walras supply-demand and competitive models. Such a model in this class, in general, is ill-posed. We formulate such a model in the form a variational inequality having certain monotonicity property which allow us to describe a regularization algorithm avoiding the ill-posedness based upon the bilevel optimization for fnding a point that is nearest to the given guessed or desired equilibrium price for the model. The obtained computational results with many randomly generated data show that the proposed algorithm works well for this class of the equilibrium models. |
| title | A bilevel optiization based algorithm for solving a class of price equilibrium problems |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2412.18114 |