Generic Stability of the Weakly Pareto-Nash Equilibrium with Strategy Transformational Barriers
The object of this paper is to establish a new model with strategy transformational barriers for a class of generalized multileader multifollower multiple objective games (GMLMFMOG) and further deduce some new results of the weakly Pareto-Nash equilibrium (WPNE) with strategy transformational barrie...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/1689732 |
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| _version_ | 1832562427308277760 |
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| author | Luping Liu Wensheng Jia Li Zhou |
| author_facet | Luping Liu Wensheng Jia Li Zhou |
| author_sort | Luping Liu |
| collection | DOAJ |
| description | The object of this paper is to establish a new model with strategy transformational barriers for a class of generalized multileader multifollower multiple objective games (GMLMFMOG) and further deduce some new results of the weakly Pareto-Nash equilibrium (WPNE) with strategy transformational barriers for the GMLMFMOG. First, we investigate the existence of the WPNE with strategy transformational barriers for the GMLMFMOG by using the Kakutani-Fan-Glicksberg fixed point theory. Next, we study the generic stability of the GMLMFMOG with strategy transformational barriers in Hausdorff space. Finally, we obtain that the majority of the WPNE with strategy transformational barriers for the GMLMFMOG are essential on the meaning of Baire’s category. In addition, we demonstrate that there is at least an essential component for the GMLMFMOG with strategy transformational barriers. |
| format | Article |
| id | doaj-art-c5d293ff220c43dd840c95db283ed8ee |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c5d293ff220c43dd840c95db283ed8ee2025-02-03T01:22:42ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/1689732Generic Stability of the Weakly Pareto-Nash Equilibrium with Strategy Transformational BarriersLuping Liu0Wensheng Jia1Li Zhou2College of Mathematics and StatisticsCollege of Mathematics and StatisticsCollege of Mathematics and StatisticsThe object of this paper is to establish a new model with strategy transformational barriers for a class of generalized multileader multifollower multiple objective games (GMLMFMOG) and further deduce some new results of the weakly Pareto-Nash equilibrium (WPNE) with strategy transformational barriers for the GMLMFMOG. First, we investigate the existence of the WPNE with strategy transformational barriers for the GMLMFMOG by using the Kakutani-Fan-Glicksberg fixed point theory. Next, we study the generic stability of the GMLMFMOG with strategy transformational barriers in Hausdorff space. Finally, we obtain that the majority of the WPNE with strategy transformational barriers for the GMLMFMOG are essential on the meaning of Baire’s category. In addition, we demonstrate that there is at least an essential component for the GMLMFMOG with strategy transformational barriers.http://dx.doi.org/10.1155/2022/1689732 |
| spellingShingle | Luping Liu Wensheng Jia Li Zhou Generic Stability of the Weakly Pareto-Nash Equilibrium with Strategy Transformational Barriers Journal of Function Spaces |
| title | Generic Stability of the Weakly Pareto-Nash Equilibrium with Strategy Transformational Barriers |
| title_full | Generic Stability of the Weakly Pareto-Nash Equilibrium with Strategy Transformational Barriers |
| title_fullStr | Generic Stability of the Weakly Pareto-Nash Equilibrium with Strategy Transformational Barriers |
| title_full_unstemmed | Generic Stability of the Weakly Pareto-Nash Equilibrium with Strategy Transformational Barriers |
| title_short | Generic Stability of the Weakly Pareto-Nash Equilibrium with Strategy Transformational Barriers |
| title_sort | generic stability of the weakly pareto nash equilibrium with strategy transformational barriers |
| url | http://dx.doi.org/10.1155/2022/1689732 |
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