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Requisite Variety, Autopoiesis, and Self-organization (1409.7475v2)

Published 26 Sep 2014 in nlin.AO and cs.OH

Abstract: Ashby's law of requisite variety states that a controller must have at least as much variety (complexity) as the controlled. Maturana and Varela proposed autopoiesis (self-production) to define living systems. Living systems also require to fulfill the law of requisite variety. A measure of autopoiesis has been proposed as the ratio between the complexity of a system and the complexity of its environment. Self-organization can be used as a concept to guide the design of systems towards higher values of autopoiesis, with the potential of making technology more "living", i.e. adaptive and robust.

Citations (41)

Summary

  • The paper explores how Requisite Variety, Autopoiesis, and Self-organization are fundamental concepts for understanding complex systems across cybernetics and complexity science.
  • It quantifies Autopoiesis as the ratio of system complexity to environmental complexity, providing a metric for assessing a system's autonomy beyond biological contexts.
  • The work introduces guided self-organization as a strategy to enhance system complexity by internally steering systems towards desired self-organized states, with applications like traffic light coordination.

Requisite Variety, Autopoiesis, and Self-organization: An Insightful Exposition

Carlos Gershenson's work on "Requisite Variety, Autopoiesis, and Self-organization" provides a robust exploration of concepts integral to understanding complex systems, particularly in the intersection of cybernetics, complexity science, and the emergent properties of living systems.

Complexity and Cybernetics

The paper begins by examining the cybernetic approach to understanding systems, independent of their substrate. Cybernetics offers a framework for studying control mechanisms across domains, aided by the advent of computational tools that permit the analysis of intricate interactions within complex systems. Complexity, fundamentally an interplay of interwoven elements, gives rise to phenomena where predictability is restricted due to the novel information generated by interactions, a concept riveted in computational irreducibility.

Ashby's Law of Requisite Variety

Central to the paper is the application of Ashby's law of requisite variety to complex systems. The law prescribes that a controller must possess equal or greater complexity than the system it endeavors to regulate. This principle underscores the necessity for controllers to adapt corresponding to the complexity they manage, balancing predictability and adaptability. In practical applications, this translates to systems exhibiting more versatility in functionality to effectively tackle diverse operational states.

The Notion of Autopoiesis

Autopoiesis, introduced by Maturana and Varela, describes the self-producing characteristic fundamental to living systems. Gershenson extends this concept beyond its original biological confines, suggesting its applicability to systems where complexity and organization surpass environmental complexity, thereby achieving requisite autonomy. Through this broadened lens, autopoiesis is quantified as the ratio of system complexity to environmental complexity, offering a metric for assessing a system's autonomy.

Guided Self-organization

The notion of guided self-organization emerges as a strategy to enhance system complexity. Instead of solely relying on external controls, this approach steers systems internally towards desired self-organized states by harnessing inherent emergence (entropy) and focusing on synergy while reducing friction. Empirical demonstrations in traffic light coordination exemplify the efficacy of this method in approximating theoretical optimality by adjusting system dynamics to environmental demands.

Implications and Future Directions

The conceptual breadth of Gershenson's work has far-reaching implications. By redefining life as an abstract property transcending biological confines, it enables the synthesis of systems that mimic living attributes, potentially advancing areas such as artificial life and robotics. Future exploration could yield advancements in urban planning, cognitive systems, and other domains where complexity uniformly challenges predictability and adaptability.

Overall, this paper not only elucidates foundational principles significant to the governance of complex, adaptive systems but also sets a framework for future innovation in creating systems that embody living characteristics through enhanced autopoiesis and guided self-organization. The theoretical and practical implications herald advancements in developing systems capable of matching and surpassing environmental complexity, providing a direction for ongoing research in cybernetics and complexity science.

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