Lipschitz continuity and duality for dynamic oligopolistic market equilibrium problem with memory term (Q549754)
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scientific article; zbMATH DE number 5925552
| Language | Label | Description | Also known as |
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| English | Lipschitz continuity and duality for dynamic oligopolistic market equilibrium problem with memory term |
scientific article; zbMATH DE number 5925552 |
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Lipschitz continuity and duality for dynamic oligopolistic market equilibrium problem with memory term (English)
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18 July 2011
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The authors describe a time-dependent spatial oligopolistic market model and transform it into an evolutionary variational inequality with adding a memory term reflecting the influence of past equilibrium patterns. They prove existence and Lipschitz continuity of solutions. Next, by using duality properties with weakened constraint qualifications, they give rather simple optimality conditions.
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dynamic oligopoly
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evolutionary variational inequality
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memory term
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existence results
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Lagrange multipliers
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0.87883157
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