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EL-RAKHAWI DOCTRINE OF INTEGRATED BEHAVIORAL GOVERNANCE THE TRIADIC INTERACTION CYCLE BETWEEN LAW, MARKET, AND SOCIETY A Comprehensive Technical Monograph on Behavioral Game Theory, Institutional Evolution, and Dynamic Non-Linear Socio-Economic-Legal Modeling

Identification

Clé publique

radar:r-2011dfc97b7ed74bd2a83ae66a541c1c

Auteurs

mohamed kamal arafa el-rakhawi

Année déclarée

2026

Langue déclarée

en

Type source

book

Première détection

2026-11-14T01:58:44.968964+00:00

Dernière observation des métadonnées

2026-11-14T01:58:44.968964+00:00

Dernière vérification HTTP

Non effectuée

Résumé documentaire — langue originale

EL-RAKHAWI DOCTRINE OF INTEGRATED BEHAVIORAL GOVERNANCE: SUMMARY This groundbreaking monograph presents a unified framework transcending disciplinary boundaries by treating law, market, and society as dynamically coupled components of a single non-linear complex adaptive system. Critical mathematical innovations:(1) Non-Linear Triadic Interaction Equation (ETIE) - Coupled differential equations with state-dependent coefficients α_ij(L,M,S,t) and non-linear interaction terms (L·M, S², L·M·S) capturing tipping points and phase transitions impossible in linear models (2) Normalization and Utility-Equivalence Function - Sigmoid transformation Φ(x)=1/(1+exp(-k·x)) converting heterogeneous legal, market, and social variables into dimensionless behavioral utility units [0,1], ensuring dimensional homogeneity (3) Weighted Logistic Compliance Function - C(θ)=1/(1+exp(-(w₁·ln(p)+w₂·ln(S)+w₃·L+w₄·E+b))) replacing multiplicative models, accurately capturing high compliance in authoritarian regimes despite low legitimacy (4) Empirical Calibration via VAR and Bayesian Inference - Coupling coefficients estimated through Vector Autoregression on historical time series with uncertainty quantification, not arbitrary assumptions (5) Computer-Implemented Patent Claims - "Method for simulating policy outcomes using dynamic coupled non-linear differential equations" protecting technical implementation rather than abstract mathematics Behavioral Governance Design Framework (BGDF) provides 9-step practical methodology for policymakers: triadic mapping, normalization, coupling estimation, equilibrium analysis, policy simulation, integrated design, implementation planning, and adaptive monitoring. Case studies with calibrated parameters:- Singapore: Strong positive coupling (α_LM=0.82, α_SL=0.91), stable equilibrium (eigenvalues: -0.42, -0.67, -0.89)- Nordic countries: High market-society coupling (α_MS=0.89), stable but flexible- Soviet Union: Negative coupling across all domains, positive eigenvalue (+0.23) predicting collapse- Arab Spring: Early warning signals (critical slowing down, flickering) detected 6-18 months before transitions Applications: Climate change policy, inequality reduction, AI governance, gig worker regulation, autonomous vehicles, optimal tax design - all demonstrating 3x greater effectiveness through integrated triadic approaches vs. single-domain optimization. Economic impact: RegTech software licensing potential $5-20B annually, policy consulting market $50-100B, with 1000-3000% ROI for early adopters. Ironclad intellectual property protection covering 6 computer-implemented method patents under Berne Convention, PCT, and TRIPS, with perpetual moral rights and trade secret protection for calibration algorithms. ALL RIGHTS RESERVED - NO OPEN ACCESS. Author: Dr. Mohamed Kamal Arafa El-RakhawiDOI: 10.5281/zenodo.23323192License: All rights reserved

Identifiants

OPENALEX

https://openalex.org/W7221520171

DOI

10.5281/zenodo.23323191

Repères documentaires

Famille documentaire

Livre

Types déclarés par les sources

book

Les mentions d’entités ne constituent pas une preuve de reconnaissance juridique. La juridiction étudiée est distincte du pays d’affiliation des auteurs.

Description bibliographique du livre

Date de publication déclarée

2026-10-12

Disponibilité non établie

Sources

OpenAlex · Document 1

• Document · https://doi.org/10.5281/zenodo.23323191

Statut documentaire

Pertinence à examiner

Bibliothèque

Cette identité n’est pas encore intégrée à la Bibliothèque juridique.