Control design to minimize the number of bankrupt players for networked evolutionary games with bankruptcy mechanism
This paper analyzed the strategy optimization problem of networked evolutionary games (NEGs) with bankruptcy mechanism. The main objective was to design a state-feedback control such that the number of bankrupt players is minimized. First, an algebraic expression was formulated for this type of NEGs...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241694 |
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| author | Liyuan Xia Jianjun Wang Shihua Fu Yuxin Gao |
| author_facet | Liyuan Xia Jianjun Wang Shihua Fu Yuxin Gao |
| author_sort | Liyuan Xia |
| collection | DOAJ |
| description | This paper analyzed the strategy optimization problem of networked evolutionary games (NEGs) with bankruptcy mechanism. The main objective was to design a state-feedback control such that the number of bankrupt players is minimized. First, an algebraic expression was formulated for this type of NEGs by the semi-tensor product of matrices, based on which the sets of profiles with different numbers of bankrupt players are defined. Second, a desired profile set in which the number of bankrupt players is no higher than a given value was obtained, and the convergence region of this set was calculated. Third, for any profile in the convergence region of the desired set, we propose a controller design method to minimize the number of bankrupt players. Finally, an example is given to illustrate the validity of our results. |
| format | Article |
| id | doaj-art-c2a508b885e5467eadf16419c23c4658 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-c2a508b885e5467eadf16419c23c46582025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912357023572010.3934/math.20241694Control design to minimize the number of bankrupt players for networked evolutionary games with bankruptcy mechanismLiyuan Xia0Jianjun Wang1Shihua Fu2Yuxin Gao3School of Mathematical Sciences, Liaocheng University, Liaocheng 252000, ChinaSchool of Mathematical Sciences, Liaocheng University, Liaocheng 252000, ChinaSchool of Mathematical Sciences, Liaocheng University, Liaocheng 252000, ChinaSchool of Mathematical Sciences, Liaocheng University, Liaocheng 252000, ChinaThis paper analyzed the strategy optimization problem of networked evolutionary games (NEGs) with bankruptcy mechanism. The main objective was to design a state-feedback control such that the number of bankrupt players is minimized. First, an algebraic expression was formulated for this type of NEGs by the semi-tensor product of matrices, based on which the sets of profiles with different numbers of bankrupt players are defined. Second, a desired profile set in which the number of bankrupt players is no higher than a given value was obtained, and the convergence region of this set was calculated. Third, for any profile in the convergence region of the desired set, we propose a controller design method to minimize the number of bankrupt players. Finally, an example is given to illustrate the validity of our results.https://www.aimspress.com/article/doi/10.3934/math.20241694networked evolutionary gamesbankruptcy mechanismsemi-tensor product of matricesminimize the number of bankrupt players |
| spellingShingle | Liyuan Xia Jianjun Wang Shihua Fu Yuxin Gao Control design to minimize the number of bankrupt players for networked evolutionary games with bankruptcy mechanism AIMS Mathematics networked evolutionary games bankruptcy mechanism semi-tensor product of matrices minimize the number of bankrupt players |
| title | Control design to minimize the number of bankrupt players for networked evolutionary games with bankruptcy mechanism |
| title_full | Control design to minimize the number of bankrupt players for networked evolutionary games with bankruptcy mechanism |
| title_fullStr | Control design to minimize the number of bankrupt players for networked evolutionary games with bankruptcy mechanism |
| title_full_unstemmed | Control design to minimize the number of bankrupt players for networked evolutionary games with bankruptcy mechanism |
| title_short | Control design to minimize the number of bankrupt players for networked evolutionary games with bankruptcy mechanism |
| title_sort | control design to minimize the number of bankrupt players for networked evolutionary games with bankruptcy mechanism |
| topic | networked evolutionary games bankruptcy mechanism semi-tensor product of matrices minimize the number of bankrupt players |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241694 |
| work_keys_str_mv | AT liyuanxia controldesigntominimizethenumberofbankruptplayersfornetworkedevolutionarygameswithbankruptcymechanism AT jianjunwang controldesigntominimizethenumberofbankruptplayersfornetworkedevolutionarygameswithbankruptcymechanism AT shihuafu controldesigntominimizethenumberofbankruptplayersfornetworkedevolutionarygameswithbankruptcymechanism AT yuxingao controldesigntominimizethenumberofbankruptplayersfornetworkedevolutionarygameswithbankruptcymechanism |