Nash equilibrium selection using a hybrid two-player static game with trade-off ranking method
In the context of the game theory solution idea, the study seeks to suggest the ranking of an optimal solution when there are several Nash equilibria. The integration of the MCDM approach and game theory is a common strategy for addressing real-world challenges. This study introduces a novel hybrid...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
PJSOR
2024
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/40675/ http://umpir.ump.edu.my/id/eprint/40675/1/Nash%20Equilibrium%20Selection%20Using%20a%20Hybrid.pdf |
| _version_ | 1848826115490054144 |
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| author | Muhammad Akram Ramadhan, Ibrahim Nor Izzati, Jaini Ku Muhammad Naim, Ku Khalif |
| author_facet | Muhammad Akram Ramadhan, Ibrahim Nor Izzati, Jaini Ku Muhammad Naim, Ku Khalif |
| author_sort | Muhammad Akram Ramadhan, Ibrahim |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | In the context of the game theory solution idea, the study seeks to suggest the ranking of an optimal solution when there are several Nash equilibria. The integration of the MCDM approach and game theory is a common strategy for addressing real-world challenges. This study introduces a novel hybrid method, combining a non-cooperative static game from game theory with the trade-off ranking (TOR) method from MCDM. The proposed hybrid method is used to rank multiple Nash equilibria concerning some criteria. The methodology for both static game and TOR method are explained in the paper. The game theory model used is a two-player non-constant-sum static game. The proposed methodology is tested using international cooperation in Iran. The result suggests the ranking of the combined strategies using the proposed method. |
| first_indexed | 2025-11-15T03:39:41Z |
| format | Article |
| id | ump-40675 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T03:39:41Z |
| publishDate | 2024 |
| publisher | PJSOR |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-406752024-03-14T02:08:13Z http://umpir.ump.edu.my/id/eprint/40675/ Nash equilibrium selection using a hybrid two-player static game with trade-off ranking method Muhammad Akram Ramadhan, Ibrahim Nor Izzati, Jaini Ku Muhammad Naim, Ku Khalif QA Mathematics QA75 Electronic computers. Computer science In the context of the game theory solution idea, the study seeks to suggest the ranking of an optimal solution when there are several Nash equilibria. The integration of the MCDM approach and game theory is a common strategy for addressing real-world challenges. This study introduces a novel hybrid method, combining a non-cooperative static game from game theory with the trade-off ranking (TOR) method from MCDM. The proposed hybrid method is used to rank multiple Nash equilibria concerning some criteria. The methodology for both static game and TOR method are explained in the paper. The game theory model used is a two-player non-constant-sum static game. The proposed methodology is tested using international cooperation in Iran. The result suggests the ranking of the combined strategies using the proposed method. PJSOR 2024 Article PeerReviewed pdf en cc_by_nc_4 http://umpir.ump.edu.my/id/eprint/40675/1/Nash%20Equilibrium%20Selection%20Using%20a%20Hybrid.pdf Muhammad Akram Ramadhan, Ibrahim and Nor Izzati, Jaini and Ku Muhammad Naim, Ku Khalif (2024) Nash equilibrium selection using a hybrid two-player static game with trade-off ranking method. Pakistan Journal of Statistics and Operation Research, 20 (1). pp. 99-108. ISSN 2220-5810. (Published) http://dx.doi.org/10.18187/pjsor.v20i1.4197 http://dx.doi.org/10.18187/pjsor.v20i1.4197 |
| spellingShingle | QA Mathematics QA75 Electronic computers. Computer science Muhammad Akram Ramadhan, Ibrahim Nor Izzati, Jaini Ku Muhammad Naim, Ku Khalif Nash equilibrium selection using a hybrid two-player static game with trade-off ranking method |
| title | Nash equilibrium selection using a hybrid two-player static game with trade-off ranking method |
| title_full | Nash equilibrium selection using a hybrid two-player static game with trade-off ranking method |
| title_fullStr | Nash equilibrium selection using a hybrid two-player static game with trade-off ranking method |
| title_full_unstemmed | Nash equilibrium selection using a hybrid two-player static game with trade-off ranking method |
| title_short | Nash equilibrium selection using a hybrid two-player static game with trade-off ranking method |
| title_sort | nash equilibrium selection using a hybrid two-player static game with trade-off ranking method |
| topic | QA Mathematics QA75 Electronic computers. Computer science |
| url | http://umpir.ump.edu.my/id/eprint/40675/ http://umpir.ump.edu.my/id/eprint/40675/ http://umpir.ump.edu.my/id/eprint/40675/ http://umpir.ump.edu.my/id/eprint/40675/1/Nash%20Equilibrium%20Selection%20Using%20a%20Hybrid.pdf |