Supplementary Material for ''Beyond Paradigms Dilemma: A Structural Amplification Framework for Development Strategy''

This Supplementary Material provides comprehensive technical details, extended results, and full replication materials for the paper "Beyond Paradigms Dilemma: A Structural Amplification Framework for Development Strategy." It consists of five appendices: Appendix A: Complete Mathematical Proofs – Formal derivations and proofs of all propositions stated in the main text, including the existence of the threshold Φ* and the stochastic viability condition. Appendix B: Extended Calibration and Sensitivity Analysis – Detailed justification of model parameters, sensitivity of the critical threshold Φ* to alternative assumptions, and analysis of different network topologies. Appendix C: Robustness of Empirical Results – Comprehensive checks using alternative measures of economic concentration and structural amplification, sample restrictions, and advanced econometric specifications, confirming the robustness of the core threshold finding. Appendix D: Additional Simulation Results – Extended policy diagnostics, transition dynamics, welfare analysis, and inclusive development outcomes across structural amplification regimes. Appendix E: Replication Package (Python Implementation) – Complete, well-documented code to reproduce all theoretical simulations, figures, tables, and empirical results. Includes data processing scripts and instructions for full reproducibility. The Supplementary Material ensures transparency, enables verification of all results, and provides researchers and policymakers with the tools to apply the diagnostic framework.