Paper: arXiv 2511.08602

Authors: Tatsuru Kikuchi

Abstract

The 2008 financial crisis exposed fundamental vulnerabilities in interconnected banking systems, yet existing frameworks fail to integrate spatial propagation with network contagion mechanisms. This paper develops a unified spatial-network framework to analyze systemic risk dynamics, revealing three critical findings that challenge conventional wisdom. First, banking consolidation paradoxically increased systemic fragility: while bank numbers declined 47.3% from 2007 to 2023, network fragility measured by algebraic connectivity rose 315.8%, demonstrating that interconnectedness intensity dominates institutional count. Second, financial contagion propagates globally with negligible spatial decay (boundary d* = 47,474 km), contrasting sharply with localized technology diffusion (d* = 69 km)–a scale difference of 688 times. Third, traditional difference-in-differences methods overestimate crisis impacts by 73.2% when ignoring network structure, producing severely biased policy assessments. Using bilateral exposure data from 156 institutions across 28 countries (2007-2023) and employing spectral analysis of network Laplacian operators combined with spatial difference-in-differences identification, we document that crisis effects amplified over time rather than dissipating, increasing fragility 68.4% above pre-crisis levels with persistent effects through 2023. The consolidation paradox exhibits near-perfect correlation (R = 0.97) between coupling strength and systemic vulnerability, validating theoretical predictions from continuous spatial dynamics. Policy simulations demonstrate network-targeted capital requirements achieve 11.3x amplification effects versus uniform regulations. These findings establish that accurate systemic risk assessment and macroprudential policy design require explicit incorporation of both spatial propagation and network topology.

Complexity vs Empirical Score

  • Math Complexity: 8.5/10
  • Empirical Rigor: 8.0/10
  • Quadrant: Holy Grail — high math complexity, high empirical rigor

Why this score: This paper presents a strong integration of continuous spatial functional analysis, spectral graph theory, and spatial difference-in-differences to analyze systemic risk and banking consolidation. The theoretical modeling using partial differential equations and Laplacian operators is mathematically rigorous, supported by extensive cross-border bilateral exposure data spanning 2007-2023. Key empirical findings—such as the consolidation paradox and spatial decay dynamics—provide highly novel and actionable insights for macroprudential policy.

Research Flowchart

  flowchart TD
    A[Research Goal: Analyze Systemic Risk via Unified Spatial-Network Framework] --> B[Data Inputs: Bilateral Exposures 156 Institutions, 28 Countries, 2007-2023]
    B --> C[Methodology: Laplacian Spectral Analysis + Spatial Difference-in-Differences]
    C --> D[Computational Analysis: Network Connectivity & Spatial Propagation Modelling]
    D --> E[Finding 1: Consolidation Paradox - Fragility rose 315.8% despite 47.3% fewer banks]
    D --> F[Finding 2: Global Contagion d* = 47,474 km vs Local Tech d* = 69 km]
    D --> G[Finding 3: Traditional DiD Overestimates Crisis Impacts by 73.2%]
    D --> H[Policy Outcome: Targeted Capital Requirements Yield 11.3x Amplification]