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April 29, 2026Open Access

Design of Hybrid Human~AI Agent Organizations: A Mathematical Framework for Organizational Dynamics

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Authors

UZUsman Zafar

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Overview

Theoretical framework demonstrates optimal governance dynamics in hybrid organizations, highlighting controlled stochastic equations.

Key Points

  • This research aims to develop a comprehensive theory for hybrid Human–AI organizational design using mathematical principles.
  • Developed a probabilistic model integrating classical and AI-native dimensions into a 17-dimensional latent space.
  • Mapped organizational dynamics to a Fisher-geometric probability simplex using a softmax transformation.
  • Utilized controlled stochastic differential equations to evolve dynamics in latent space.
  • Introduced governance encoded through a Kullback–Leibler potential with strict dissipation.
  • Established a controlled stochastic manifold with explicit information geometry that ensures convergence to an optimal equilibrium.

Cite This Study

Usman Zafar (2026) studied this question.

synapsesocial.com/papers/69f154e0879cb923c49451bdhttps://doi.org/10.5281/zenodo.19807670
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