Convex generalized Nash equilibrium problems and polynomial optimization
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10107-021-01739-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7450 |
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oai:localhost:PNK-74502023-04-03T08:44:29Z Convex generalized Nash equilibrium problems and polynomial optimization Jiawang, Nie Xindong, Tang generalized Nash equilibria Moment-SOS hierarchy CC BY This paper studies convex generalized Nash equilibrium problems that are given by polynomials. We use rational and parametric expressions for Lagrange multipliers to formulate efficient polynomial optimization for computing generalized Nash equilibria (GNEs). The Moment-SOS hierarchy of semidefinite relaxations are used to solve the polynomial optimization. Under some general assumptions, we prove the method can find a GNE if there exists one, or detect nonexistence of GNEs. Numerical experiments are presented to show the efficiency of the method. 2023-04-03T08:44:29Z 2023-04-03T08:44:29Z 2021 Book https://link.springer.com/article/10.1007/s10107-021-01739-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7450 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
generalized Nash equilibria Moment-SOS hierarchy |
| spellingShingle |
generalized Nash equilibria Moment-SOS hierarchy Jiawang, Nie Xindong, Tang Convex generalized Nash equilibrium problems and polynomial optimization |
| description |
CC BY |
| format |
Book |
| author |
Jiawang, Nie Xindong, Tang |
| author_facet |
Jiawang, Nie Xindong, Tang |
| author_sort |
Jiawang, Nie |
| title |
Convex generalized Nash equilibrium problems and polynomial optimization |
| title_short |
Convex generalized Nash equilibrium problems and polynomial optimization |
| title_full |
Convex generalized Nash equilibrium problems and polynomial optimization |
| title_fullStr |
Convex generalized Nash equilibrium problems and polynomial optimization |
| title_full_unstemmed |
Convex generalized Nash equilibrium problems and polynomial optimization |
| title_sort |
convex generalized nash equilibrium problems and polynomial optimization |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s10107-021-01739-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7450 |
| _version_ |
1762184304933208064 |
| score |
8.881002 |