Abstract

BackgroundBiological environment is uncertain and its dynamic is similar to the multiagent environment, thus the research results of the multiagent system area can provide valuable insights to the understanding of biology and are of great significance for the study of biology. Learning in a multiagent environment is highly dynamic since the environment is not stationary anymore and each agent’s behavior changes adaptively in response to other coexisting learners, and vice versa. The dynamics becomes more unpredictable when we move from fixed-agent interaction environments to multiagent social learning framework. Analytical understanding of the underlying dynamics is important and challenging.ResultsIn this work, we present a social learning framework with homogeneous learners (e.g., Policy Hill Climbing (PHC) learners), and model the behavior of players in the social learning framework as a hybrid dynamical system. By analyzing the dynamical system, we obtain some conditions about convergence or non-convergence. We experimentally verify the predictive power of our model using a number of representative games. Experimental results confirm the theoretical analysis.ConclusionUnder multiagent social learning framework, we modeled the behavior of agent in biologic environment, and theoretically analyzed the dynamics of the model. We present some sufficient conditions about convergence or non-convergence and prove them theoretically. It can be used to predict the convergence of the system.

Highlights

  • Biological environment is uncertain and its dynamic is similar to the multiagent environment, the research results of the multiagent system area can provide valuable insights to the understanding of biology and are of great significance for the study of biology

  • This paper presents a social learning framework to simulate the dynamics of multiagent system in biological environment and a theoretical analysis of the learning dynamics of this model is given

  • In the “Result and discussion” section, we present the theoretical model of the learning dynamics of agents, and prove convergence and non-convergence conditions by analyze geometrical behaviors of the hybrid dynamic system in the help of nonlinear dynamic theory

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Summary

Introduction

Biological environment is uncertain and its dynamic is similar to the multiagent environment, the research results of the multiagent system area can provide valuable insights to the understanding of biology and are of great significance for the study of biology. Learning in a multiagent environment is highly dynamic since the environment is not stationary anymore and each agent’s behavior changes adaptively in response to other coexisting learners, and vice versa. The dynamics becomes more unpredictable when we move from fixed-agent interaction environments to multiagent social learning framework. In the multiagent system [5,6,7,8,9], an important ability of an agent is to adjust its behavior adaptively to facilitate efficient coordination among agents in unknown and dynamic environments. The conclusion of the theoretical analysis can be applied to the research of biology, for example, the results of convergence can be used for explaining the phenomenon of cell’s group behaviour

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