A Membrane Computing Approach to the Generalized Nash Equilibrium
<|reference_start|>A Membrane Computing Approach to the Generalized Nash Equilibrium: 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.<|reference_end|>
@article{luque-cerpa2024a,
    title={A Membrane Computing Approach to the Generalized Nash Equilibrium},
    author={Alejandro Luque-Cerpa, Miguel A. Guti'errez-Naranjo},
    journal={arXiv preprint arXiv:2404.17671},
    year={2024},
    archivePrefix={arXiv},
    eprint={2404.17671},
    primaryClass={cs.GT}
}