A Consensus-Based Algorithm for Non-Convex Multiplayer Games: Nonlinear Oligopoly Games

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This story was originally published on HackerNoon at: https://hackernoon.com/a-consensus-based-algorithm-for-non-convex-multiplayer-games-nonlinear-oligopoly-games.
A novel algorithm using swarm intelligence to find global Nash equilibria in nonconvex multiplayer games, with convergence guarantees and numerical experiments.
Check more stories related to gaming at: https://hackernoon.com/c/gaming. You can also check exclusive content about #games, #consensus-based-optimization, #numerical-experiments, #zeroth-order-algorithm, #nonconvex-multiplayer-games, #global-nash-equilibria, #metaheuristics, #mean-field-convergence, and more.
This story was written by: @oligopoly. Learn more about this writer by checking @oligopoly's about page, and for more stories, please visit hackernoon.com.
The study was conducted by Enis Chenchene, Hui Huang, Jinniao Qiu and Hui Chen. They studied the dependence of Algorithm 1 with respect to the algorithm’s parameters to solve (3.5) of good produced. They found no significant differences in the convergence behavior of anisotropic or isotropic dynamics.

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A Consensus-Based Algorithm for Non-Convex Multiplayer Games: Nonlinear Oligopoly Games

Gaming Tech Brief By HackerNoon

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Gaming Tech Brief By HackerNoon

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This story was originally published on HackerNoon at: https://hackernoon.com/a-consensus-based-algorithm-for-non-convex-multiplayer-games-quantitative-laplace-principle . A novel algorithm using swarm intelligence to find global Nash equilibria in nonconvex multiplayer games, with convergence guarantees and numerical experiments. Check more stories related to gaming at: https://hackernoon.com/c/gaming . You can also check exclusive content about #games , #consensus-based-optimization , #zeroth-order-algorithm , #nonconvex-multiplayer-games , #global-nash-equilibria , #swarm-intelligence , #metaheuristics , #numerical-experiments , and more. This story was written by: @oligopoly . Learn more about this writer by checking @oligopoly's about page, and for more stories, please visit hackernoon.com . This paper is available on arxiv.org/abs/2311.08270 under CC BY 4.0 DEED license. Authors: Enis Chenchene, Hui Huang, Jinniao Qiu, and Hui Chen. Table of Links: 1. Introduction, 2. Global convergence, 3. Numerical experiments, 4. Conclusion, Acknowledgments, and References.…

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This story was originally published on HackerNoon at: https://hackernoon.com/a-consensus-based-algorithm-for-non-convex-multiplayer-games-nonlinear-oligopoly-games . A novel algorithm using swarm intelligence to find global Nash equilibria in nonconvex multiplayer games, with convergence guarantees and numerical experiments. Check more stories related to gaming at: https://hackernoon.com/c/gaming . You can also check exclusive content about #games , #consensus-based-optimization , #numerical-experiments , #zeroth-order-algorithm , #nonconvex-multiplayer-games , #global-nash-equilibria , #metaheuristics , #mean-field-convergence , and more. This story was written by: @oligopoly . Learn more about this writer by checking @oligopoly's about page, and for more stories, please visit hackernoon.com . The study was conducted by Enis Chenchene, Hui Huang, Jinniao Qiu and Hui Chen. They studied the dependence of Algorithm 1 with respect to the algorithm’s parameters to solve (3.5) of good produced. They found no significant differences in the convergence behavior of anisotropic or isotropic dynamics.…

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This story was originally published on HackerNoon at: https://hackernoon.com/a-consensus-based-algorithm-for-non-convex-multiplayer-games-abstract-and-introduction . A novel algorithm using swarm intelligence to find global Nash equilibria in nonconvex multiplayer games, with convergence guarantees and numerical experiments. Check more stories related to gaming at: https://hackernoon.com/c/gaming . You can also check exclusive content about #games , #numerical-experiments , #consensus-based-optimization , #zeroth-order-algorithm , #nonconvex-multiplayer-games , #global-nash-equilibria , #metaheuristics , #mean-field-convergence , and more. This story was written by: @oligopoly . Learn more about this writer by checking @oligopoly's about page, and for more stories, please visit hackernoon.com . In this paper, we present a novel consensus-based zeroth-order algorithm tailored for nonconvex multiplayer games. The proposed method leverages a metaheuristic approach using concepts from swarm intelligence to reliably identify global Nash equilibria. We utilize a group of interacting particles, each agreeing on a specific consensus point, asymptotically converging to the corresponding optimal strategy.…

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A Consensus-Based Algorithm for Non-Convex Multiplayer Games: Nonlinear Oligopoly Games

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A Consensus-Based Algorithm for Non-Convex Multiplayer Games: Nonlinear Oligopoly Games