Game Theory and Multi-Agent Reinforcement Learning : From Nash Equilibria to Evolutionary Dynamics

Fuente: arXiv
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Autori principali: De La Fuente, Neil, Alonso, Miquel Noguer i, Casadellà, Guim
Natura: Preprint
Pubblicazione: 2024
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author De La Fuente, Neil
Alonso, Miquel Noguer i
Casadellà, Guim
author_facet De La Fuente, Neil
Alonso, Miquel Noguer i
Casadellà, Guim
contents This paper explores advanced topics in complex multi-agent systems building upon our previous work. We examine four fundamental challenges in Multi-Agent Reinforcement Learning (MARL): non-stationarity, partial observability, scalability with large agent populations, and decentralized learning. The paper provides mathematical formulations and analysis of recent algorithmic advancements designed to address these challenges, with a particular focus on their integration with game-theoretic concepts. We investigate how Nash equilibria, evolutionary game theory, correlated equilibrium, and adversarial dynamics can be effectively incorporated into MARL algorithms to improve learning outcomes. Through this comprehensive analysis, we demonstrate how the synthesis of game theory and MARL can enhance the robustness and effectiveness of multi-agent systems in complex, dynamic environments.
format Preprint
id arxiv_https___arxiv_org_abs_2412_20523
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Game Theory and Multi-Agent Reinforcement Learning : From Nash Equilibria to Evolutionary Dynamics
De La Fuente, Neil
Alonso, Miquel Noguer i
Casadellà, Guim
Multiagent Systems
Artificial Intelligence
Computer Science and Game Theory
This paper explores advanced topics in complex multi-agent systems building upon our previous work. We examine four fundamental challenges in Multi-Agent Reinforcement Learning (MARL): non-stationarity, partial observability, scalability with large agent populations, and decentralized learning. The paper provides mathematical formulations and analysis of recent algorithmic advancements designed to address these challenges, with a particular focus on their integration with game-theoretic concepts. We investigate how Nash equilibria, evolutionary game theory, correlated equilibrium, and adversarial dynamics can be effectively incorporated into MARL algorithms to improve learning outcomes. Through this comprehensive analysis, we demonstrate how the synthesis of game theory and MARL can enhance the robustness and effectiveness of multi-agent systems in complex, dynamic environments.
title Game Theory and Multi-Agent Reinforcement Learning : From Nash Equilibria to Evolutionary Dynamics
topic Multiagent Systems
Artificial Intelligence
Computer Science and Game Theory
url https://arxiv.org/abs/2412.20523