Temporal Dynamics of Controlled Irrationality
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Description
This technical note introduces the temporal derivative of the Controlled Irrationality Index (CII₁–₄), extending the framework proposed in the Controlled Irrationality Index Working Paper v1.1. The derivative form, expressed as dCII/dt, formalizes the dynamic interpretation of rational activation as a feedback process evolving over time. By treating CII as a time-dependent function, this formulation enables the quantification of acceleration or deceleration in controlled irrationality—capturing the kinetic aspect of bounded rational behavior.
Technical info (English)
Temporal Dynamics of Controlled Irrationality (dCII/dt)
This technical note introduces the temporal derivative of the Controlled Irrationality Index (CII₁–₄), defining rational activation as a dynamic feedback rate. The formulation expresses CII as a time-dependent function, allowing the observation of its differential behavior (dCII/dt) to represent the acceleration or deceleration of controlled irrationality over time.
This note formally extends the framework presented in the Controlled Irrationality Index Working Paper v1.1, establishing the dynamic interpretation of rational feedback control.
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Additional details
Related works
- Is derived from
- Working paper: 10.5281/zenodo.17539413 (DOI)
Dates
- Created
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2025-11-06v1.15