Designing a Federal Parliamentary System with Minimal Manipulation: A Quantitative Systems Framework of Balance, Feedback, and Institutional Integrity

Abstract This paper develops a quantitative framework for minimizing political manipulation through a federal parliamentary system, grounded in the Universal Balance-Feedback Framework (UBFF). The UBFF posits that all complex systems—including governance institutions—are governed by four universal laws: (1) Universal Imbalance Generation, (2) Balance-Feedback Activation, (3) Dynamic Equilibrium Seeking, and (4) Tolerance Limit Enforcement. These laws are formally mapped to three measurable institutional indices: Power Concentration (Pc), Transparency (T), and Feedback Strength (F), which together determine a Manipulation Risk Index (M = Pc / (T·F + ε)). The framework is operationalized using traceable empirical sources—the V-Dem Executive Constraints Score, Gallagher Index of Electoral Disproportionality, Transparency International's Corruption Perceptions Index, and World Bank Worldwide Governance Indicators. Sensitivity analysis demonstrates robustness of cross-country rankings under varying component weights. A dynamic extension models temporal trajectories of M, revealing tipping-point dynamics consistent with UBFF tolerance limits. Comparative application to Germany, the United Kingdom, and the Philippines yields manipulation risk scores of 0.48, 1.18, and 5.08 respectively, illustrating how federal parliamentary design choices directly modulate institutional integrity.