Multi-objective optimization strategies using adjoint method and game theory in aerodynamics
There are currently three different game strategies originated in economics： （1） Cooperative games （Pareto front）, （2） Competitive games （Nash game） and （3） Hierarchical games （Stackelberg game）. Each game achieves different equilibria with different performance, and their players play different rol...
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| Published in: | Acta mechanica Sinica Vol. 22; no. 4; pp. 307 - 314 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
01.08.2006
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| Subjects: | |
| ISSN: | 0567-7718, 1614-3116 |
| Online Access: | Get full text |
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| Summary: | There are currently three different game strategies originated in economics： （1） Cooperative games （Pareto front）, （2） Competitive games （Nash game） and （3） Hierarchical games （Stackelberg game）. Each game achieves different equilibria with different performance, and their players play different roles in the games. Here, we introduced game concept into aerodynamic design, and combined it with adjoint method to solve multi- criteria aerodynamic optimization problems. The performance distinction of the equilibria of these three game strategies was investigated by numerical experiments. We computed Pareto front, Nash and Stackelberg equilibria of the same optimization problem with two conflicting and hierarchical targets under different parameterizations by using the deterministic optimization method. The numerical results show clearly that all the equilibria solutions are inferior to the Pareto front. Non-dominated Pareto front solutions are obtained, however the CPU cost to capture a set of solutions makes the Pareto front an expensive tool to the designer. |
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| Bibliography: | Stackelberg game 11-2063/O3 Multi-objective optimization. Pareto front Multi-objective optimization. Pareto front ; Nash game ; Stackelberg game ; Adjoint method Nash game Adjoint method V211 ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 0567-7718 1614-3116 |
| DOI: | 10.1007/s10409-006-0014-9 |