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On the hidden hazards of adaptive behavior

机译：论适应行为的隐患

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摘要

Adaptive behavior has been observed in almost all aspects of real-world. One of the main advantages of acting adaptively is its stabilizing effect on dynamic equilibrium, associated with which are three favorable features: (a) non-destabilizing characteristics, (b) low-speed effectiveness and (c) the convexity of the stabilization regime in terms of the adaptive parameter. It is shown either in theory or by counter-examples that these advantages may not be preserved if the adaptive mechanism is applied to multidimensional processes. The necessary and sufficient conditions for the relevant phenomena are provided for two-dimensional dynamic processes with application to duopolistic dynamics. Our findings not only help to clarify hidden misconceptions and prevent potential abuse of adaptive mechanisms, but also illustrate the possible pitfalls arising from generalizing well-known characteristics of low dimensional and/or homogeneous agent models to high-dimensional and heterogenous agent models.
机译：在现实世界的几乎所有方面都观察到了适应行为。自适应作用的主要优点之一是它对动态平衡的稳定作用，与之相关的三个有利特征是：（a）非稳定特征，（b）低速有效性，以及（c）稳定状态的凸性。自适应参数的项。从理论上或通过反例表明，如果将自适应机制应用于多维过程，则可能无法保留这些优势。为二维动力学过程提供了相关现象的必要和充分条件，并将其应用于双城动力学。我们的发现不仅有助于澄清隐藏的误解并防止潜在地滥用自适应机制，而且还说明了将低维度和/或同类代理模型的众所周知特征推广到高维度和异构代理模型时可能出现的陷阱。

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