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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

Theory identifies optimal governance dynamics in organizations through controlled stochastic differential equations, suggesting a novel approach to organizational design.

Key Points

  • This research aims to develop a mathematical framework for hybrid Human–AI organizational design.
  • Introduces a unified probabilistic representation in a 17-dimensional latent space.
  • Maps classical and AI-native dimensions to a Fisher-geometric probability simplex.
  • Formalizes measurement using RKHS-bounded feature maps.
  • Establishes dynamics that evolve on latent space via controlled stochastic differential equations.
  • Results in a controlled stochastic manifold with explicit information geometry.
  • Guarantees convergence to a governance-optimal equilibrium.

Cite This Study

Usman Zafar (2026) studied this question.

synapsesocial.com/papers/69f154c0879cb923c4944ee0https://doi.org/10.5281/zenodo.19807669
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