Weighted Potential Incomplete-Profile Games
In this paper the weighted potential incomplete-profile games are studied. First a potential equation with algebraic form is established to check whether an incomplete-profile normal form game (IPNFG) is a weighted potential game with weight w > or not, based on which, the potential function...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2020-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9057677/ |
| _version_ | 1818579632506535936 |
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| author | Yanan Pan Shihua Fu Jianli Zhao |
| author_facet | Yanan Pan Shihua Fu Jianli Zhao |
| author_sort | Yanan Pan |
| collection | DOAJ |
| description | In this paper the weighted potential incomplete-profile games are studied. First a potential equation with algebraic form is established to check whether an incomplete-profile normal form game (IPNFG) is a weighted potential game with weight w > or not, based on which, the potential function can be constructed. Then the weighted potential subspace and the non-strategic subspace and some properties of weighted potential incomplete-profile games are obtained. Finally, an example is given to illustrate our theoretical results. |
| first_indexed | 2024-12-16T07:04:47Z |
| format | Article |
| id | doaj.art-02acb8d361c749208752b3a0aa475ffb |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-16T07:04:47Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-02acb8d361c749208752b3a0aa475ffb2022-12-21T22:40:04ZengIEEEIEEE Access2169-35362020-01-018674086741510.1109/ACCESS.2020.29860769057677Weighted Potential Incomplete-Profile GamesYanan Pan0https://orcid.org/0000-0002-0478-061XShihua Fu1Jianli Zhao2School of Mathematical Science, Liaocheng University, Liaocheng, ChinaSchool of Mathematical Science, Liaocheng University, Liaocheng, ChinaSchool of Mathematical Science, Liaocheng University, Liaocheng, ChinaIn this paper the weighted potential incomplete-profile games are studied. First a potential equation with algebraic form is established to check whether an incomplete-profile normal form game (IPNFG) is a weighted potential game with weight w > or not, based on which, the potential function can be constructed. Then the weighted potential subspace and the non-strategic subspace and some properties of weighted potential incomplete-profile games are obtained. Finally, an example is given to illustrate our theoretical results.https://ieeexplore.ieee.org/document/9057677/Incomplete-profile gamesweighted potential subspacenon-strategic subspacesemi-tensor product of matrices |
| spellingShingle | Yanan Pan Shihua Fu Jianli Zhao Weighted Potential Incomplete-Profile Games IEEE Access Incomplete-profile games weighted potential subspace non-strategic subspace semi-tensor product of matrices |
| title | Weighted Potential Incomplete-Profile Games |
| title_full | Weighted Potential Incomplete-Profile Games |
| title_fullStr | Weighted Potential Incomplete-Profile Games |
| title_full_unstemmed | Weighted Potential Incomplete-Profile Games |
| title_short | Weighted Potential Incomplete-Profile Games |
| title_sort | weighted potential incomplete profile games |
| topic | Incomplete-profile games weighted potential subspace non-strategic subspace semi-tensor product of matrices |
| url | https://ieeexplore.ieee.org/document/9057677/ |
| work_keys_str_mv | AT yananpan weightedpotentialincompleteprofilegames AT shihuafu weightedpotentialincompleteprofilegames AT jianlizhao weightedpotentialincompleteprofilegames |