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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | https://arxiv.org/abs/2404.17671 |
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| _version_ | 1866915253556609024 |
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| author | Luque-Cerpa, Alejandro Gutiérrez-Naranjo, Miguel A. |
| author_facet | Luque-Cerpa, Alejandro Gutiérrez-Naranjo, Miguel A. |
| contents | In Evolutionary Game Theory (EGT), a population reaches a Nash equilibrium when none of the agents can improve its objective by solely changing its strategy on its own. Roughly speaking, this equilibrium is a protection against betrayal. Generalized Nash Equilibrium (GNE) is a more complex version of this idea with important implications in real-life problems in economics, wireless communication, the electricity market, or engineering among other areas. In this paper, we propose a first approach to GNE with Membrane Computing techniques and show how GNE problems can be modeled with P systems, bridging both areas and opening a door for a flow of problems and solutions in both directions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17671 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Membrane Computing Approach to the Generalized Nash Equilibrium Luque-Cerpa, Alejandro Gutiérrez-Naranjo, Miguel A. Computer Science and Game Theory In Evolutionary Game Theory (EGT), a population reaches a Nash equilibrium when none of the agents can improve its objective by solely changing its strategy on its own. Roughly speaking, this equilibrium is a protection against betrayal. Generalized Nash Equilibrium (GNE) is a more complex version of this idea with important implications in real-life problems in economics, wireless communication, the electricity market, or engineering among other areas. In this paper, we propose a first approach to GNE with Membrane Computing techniques and show how GNE problems can be modeled with P systems, bridging both areas and opening a door for a flow of problems and solutions in both directions. |
| title | A Membrane Computing Approach to the Generalized Nash Equilibrium |
| topic | Computer Science and Game Theory |
| url | https://arxiv.org/abs/2404.17671 |