Paper: arXiv 2506.21426
Authors: Anna Mancini, Balázs Lengyel, Riccardo Di Clemente, Giulio Cimini
Abstract
Recent crises like the COVID-19 pandemic and geopolitical tensions have exposed vulnerabilities and caused disruptions of supply chains, leading to product shortages, increased costs, and economic instability. This has prompted increasing efforts to assess systemic risk, namely the effects of firm disruptions on entire economies. However, the ability of firms to react to crises by rewiring their supply links has been largely overlooked, limiting our understanding of production networks resilience. Here we study dynamics and determinants of firm-level systemic risk in the Hungarian production network from 2015 to 2022. We use as benchmark a heuristic maximum entropy null model that generates an ensemble of production networks at equilibrium, by preserving the total input (demand) and output (supply) of each firm at the sector level. We show that the fairly stable set of firms with highest systemic risk undergoes a structural change during COVID-19, as those enabling economic exchanges become key players in the economy – a result which is not reproduced by the null model. Although the empirical systemic risk aligns well with the null value until the onset of the pandemic, it becomes significantly smaller afterwards as the adaptive behavior of firms leads to a more resilient economy. Furthermore, firms’ international trade volume (being a subject of disruption) becomes a significant predictor of their systemic risk. However, international links cannot provide an unequivocal explanation for the observed trends, as imports and exports have opposing effects on local systemic risk through the supply and demand channels.
Complexity vs Empirical Score
- Math Complexity: 6.5/10
- Empirical Rigor: 8.5/10
- Quadrant: Holy Grail — high math complexity, high empirical rigor
Why this score: This paper presents a rigorous empirical study of systemic risk in production networks using granular VAT data from Hungary across an eight-year span. It innovatively benchmarks empirical shock propagation against a maximum entropy null model (s-GM) to reveal structural adaptation and resilience shifts post-COVID-19.
Research Flowchart
flowchart TD
A["Research Goal: Assess firm-level systemic risk & supply chain rewiring dynamics (2015-2022)"] --> B["Data Input: Hungarian production network & international trade data"]
B --> C["Methodology: Compare Empirical Network vs. Max Entropy Null Model (preserved sector demand/supply)"]
C --> D["Computational Process: Calculate firm-level systemic risk scores pre- and post-COVID-19"]
D --> E1["Finding 1: Structural shift during COVID-19 as trade-enabling firms became key systemic players"]
D --> E2["Finding 2: Post-pandemic adaptive rewiring reduced overall systemic risk below null model predictions"]
D --> E3["Finding 3: Imports and exports exert opposing effects on local systemic risk"]
Cited References (214)
- Supply chain network rewiring dynamics at the firm level (2026) — link
- Production and Financial Networks in Interplay (2026) — link
- Inferring firm-level supply chain networks with realistic systemic risk from industry sector-level data — → 2408.02467
- Propagation of economic shocks in input-output networks: A cross-country analysis (2014) — link
- Firm-level production networks: What do we (really) know? (2026) — link
- True scale-free networks hidden by finite size effects (2021) — link
- Disruption of international trade and its propagation through firm-level domestic supply chains: A case of Japan (2023) — link
- Supply Chain Disruption and Reorganization: Theory and Evidence From Ukraine’s War (2025) — link
and 206 more
- Entropy-based detection of Twitter echo chambers (2024) — link
- A statistical test of Walrasian equilibrium by means of complex networks theory (2016)
- Systemic risk in interbank networks: disentangling balance sheets and network effects (2022) — link
- Business transactions and ownership ties between firms (2024) — [link](https://doi.org/DOI: 10.1017/nws.2023.19)
- How production networks amplify economic growth (2022) — link
- The nested assembly of plant–animal mutualistic networks (2003) — link
- Nestedness in complex networks: Observation, emergence, and implications (2019) — link
- Network motifs: theory and experimental approaches (2007) — link
- Money flow network among firms’accounts in a regional bank of Japan (2021) — link
- The different structure of economic ecosystems at the scales of companies and countries (2023) — link
- Statistically validated networks in bipartite complex systems (2011) — link
- Reconstructing Networks (2021) — link
- Meta-validation of bipartite network projections (2022) — link
- Bipartite network projection and personal recommendation (2007) — link
- Statistically validated network of portfolio overlaps and systemic risk (2016) — link
- The Severity of Supply Chain Disruptions: Design Characteristics and Mitigation Capabilities (2007) — link
- A Methodology for Estimating the Dutch Interfirm Trade Network, Including a Breakdown by Commodity (2019) — link
- Supply-chain networks: a complex adaptive systems perspective (2005) — link
- Network science approach to modelling the topology and robustness of supply chain networks: a review and perspective (2017) — link
- Supply network disruption and resilience: A network structural perspective (2015) — link
- Supply network science: Emergence of a new perspective on a classical field (2018) — link
- ``Smart parts’‘supply networks as complex adaptive systems: analysis and implications (2008) — link
- Structural characteristics of complex supply chain networks (2021) — link
- Identifying dynamical instabilities in supply networks using generalized modeling (2019) — link
- Supply Networks as Complex Systems: A Network-Science-Based Characterization (2017) — link
- Topological robustness of the global automotive industry (2015) — link
- Economic Links and Predictable Returns (2008) — link
- Network structure of production (2011) — link
- Aggregate fluctuations in adaptive production networks (2022) — link
- Modeling supply-chain networks with firm-to-firm wire transfers (2022) — link
- Reconstructing production networks using machine learning (2023) — link
- The Belgian production network 2002‑2012 (2015) — link
- On Aggregation Problems in Input-Output Analysis (1970) — link
- Estimating the loss of economic predictability from aggregating firm-level production networks (2024) — link
- Financial Constraints and Propagation of Shocks in Production Networks (2022) — link
- Supply Chain Disruptions: Evidence from the Great East Japan Earthquake (2021) — link
- Input specificity and the propagation of idiosyncratic shocks in production networks (2016) — link
- Testing ``efficient supply chain propositions’‘using topological characterization of the global supply chain network (2020) — link
- Impact of the Topology of Global Macroeconomic Network on the Spreading of Economic Crises (2011) — link
- The interconnected wealth of nations: Shock propagation on global trade-investment multiplex networks (2019) — link
- Structure of global buyer-supplier networks and its implications for conflict minerals regulations (2016) — link
- Vulnerability to shocks in the global seafood trade network (2016) — link
- Quantifying economic resilience from input–output susceptibility to improve predictions of economic growth and recovery (2019) — link
- Trade Globalization since 1795: Waves of Integration in the World-System (2000) — link
- The Network Origins of Aggregate Fluctuations (2012) — link
- The Granular Origins of Aggregate Fluctuations (2011) — link
- Aggregate fluctuations from independent sectoral shocks: self-organized criticality in a model of production and inventory dynamics (1993) — link
- Input-output analysis: foundations and extensions (2009) — link
- Network-based prediction of protein interactions (2019) — link
- Firm-level propagation of shocks through supply-chain networks (2019) — link
- The link-prediction problem for social networks (2007) — link
- Costs of resilience and disruptions in supply chain network design models: A review and future research directions (2021) — link
- A dynamical systems approach to gross domestic product forecasting (2018) — link
- Unfolding the innovation system for the development of countries: coevolution of Science, Technology and Production (2019) — link
- The building blocks of economic complexity (2009) — link
- The new paradigm of economic complexity (2022) — link
- Circulation of a digital community currency (2023) — link
- Network topology of the interbank market (2004) — link
- The multiplex structure of interbank networks (2015) — link
- The physics of financial networks (2021) — link
- DebtRank: Too Central to Fail? Financial Networks, the FED and Systemic Risk (2012) — link
- Topology of the World Trade Web (2003) — link
- Fitness-Dependent Topological Properties of the World Trade Web (2004) — link
- Global supply-chain effects of COVID-19 control measures (2020) — link
- COVID-19 pandemic related supply chain studies: A systematic review (2021) — link
- Protect global supply chains for low-carbon technologies (2020) — link
- The US-China trade war and global reallocations (2021) — link
- Making global value chains work for development (2016) — link
- The automotive supply chain: Global trends and Asian perspectives (2003) — link
- Trade networks and shock transmission capacity: a new taxonomy of Italian industries (2022)
- Large-scale structure of a nation-wide production network (2010) — link
- Network motifs in an inter-firm network (2010) — link
- Network bipartivity and the transportation efficiency of European passenger airlines (2016) — link
- Spectral measures of bipartivity in complex networks (2005) — link
- Functional structure in production networks (2021) — link
- Predicting hidden links in supply networks (2018) — link
- A machine learning approach for predicting hidden links in supply chain with graph neural networks (2021) — link
- Extracting supply chain maps from news articles using deep neural networks (2020) — link
- Do larger firms have more interfirm relationships? (2007) — link
- Reconstructing firm-level interactions in the Dutch input–output network from production constraints (2022) — link
- Systemic risk analysis on reconstructed economic and financial networks (2015) — link
- Hubs and authorities on Japanese inter-firm network: Characterization of nodes in very large directed networks (2009) — link
- Estimation of flux between interacting nodes on huge inter-firm networks (2012) — link
- Quantifying firm-level economic systemic risk from nation-wide supply networks (2022) — link
- Propagation of disruptions in supply networks of essential goods: A population-centered perspective of systemic risk (2022) — link
- Monitoring supply networks from mobile phone data for estimating the systemic risk of an economy (2022) — link
- Lightning Network: a second path towards centralisation of the Bitcoin economy (2020) — link
- The weighted Bitcoin lightning network (2022)
- Sapling Similarity outperforms other local similarity metrics in collaborative filtering (2022) — link
- Classification and regression trees (2017)
- Production networks and epidemic spreading: How to restart the UK economy? (2020) — link
- Debtrank analysis of financial distress propagation on a production network in Japan (2016) — link
- Inequality in economic shock exposures across the global firm-level supply network (2024) — link
- A data-analytics approach to identifying hidden critical suppliers in supply networks: Development of nexus supplier index (2018) — link
- Randomizing world trade. I. A binary network analysis (2011)
- Randomizing world trade. II. A weighted network analysis (2011)
- Structure and evolution of the world trade network (2005) — link
- The statistical physics of real-world networks (2019) — link
- Estimating topological properties of weighted networks from limited information (2015) — link
- The Ripple effect in supply chains: trade-off `efficiency-flexibility-resilience’in disruption management (2014) — link
- Product Progression: a machine learning approach to forecasting industrial upgrading (2023) — link
- Machine learning to assess relatedness: the advantage of using firm-level data (2022) — link
- Randomizing bipartite networks: the case of the World Trade Web (2015) — link
- Early-warning signals of topological collapse in interbank networks (2013) — link
- Subgraph centrality in complex networks (2005)
- Statistical mechanics of networks (2004) — link
- Analytical maximum-likelihood method to detect patterns in real networks (2011) — link
- Cycles and clustering in bipartite networks (2005) — link
- Clustering coefficient and community structure of bipartite networks (2008) — link
- Inferring monopartite projections of bipartite networks: an entropy-based approach (2017) — link
- Information theory and statistical mechanics (1957) — link
- Fast and scalable likelihood maximization for exponential random graph models with local constraints (2021) — link
- Quick and easy implementation of the Benjamini-Hochberg procedure for controlling the false positive rate in multiple comparisons (2002) — link
- Fundamentals of brain network analysis (2016)
- Fast unfolding of communities in large networks (2008) — link
- Community detection algorithms: a comparative analysis (2009) — link
- Community detection in graphs (2010) — link
- Scale-free networks from varying vertex intrinsic fitness (2002) — link
- The Levenberg-Marquardt algorithm: implementation and theory (2006) — link
- Power-law distributions in empirical data (2009) — link
- Disentangling the complexity of supply relationship formations: Firm product diversification and product ubiquity in the Japanese car industry (2018)
- The structure of the Toyota supply network: The emergence of resilience (2011)
- An illustrated user guide to the world input–output database: the case of global automotive production (2015) — link
- The relationship between nested patterns and the ripple effect in complex supply networks (2021) — link
- The nested structure of emergent supply networks (2018) — link
- Nested patterns in large-scale automotive supply networks (2012) — link
- A consistent metric for nestedness analysis in ecological systems: reconciling concept and measurement (2008) — link
- Modularity and community detection in bipartite networks (2007) — link
- A new metrics for countries’ fitness and products’ complexity (2012) — link
- Global value chains (2022)
- Production networks: A primer (2019) — link
- Propagation of economic shocks through global supply chains—Evidence from Hurricane Sandy (2021) — link
- Simultaneous supply and demand constraints in input–output networks: the case of Covid-19 in Germany, Italy, and Spain (2022) — link
- Trade and Domestic Production Networks. National Bank of Belgium Working Paper No. 344 (2018) — link
- The structure and evolution of buyer-supplier networks (2014) — link
- Reconstruction methods for networks: The case of economic and financial systems (2018) — link
- The missing links: A global study on uncovering financial network structures from partial data (2018) — link
- Methods for reconstructing interbank networks from limited information: A comparison (2017) — link
- Adjustable network reconstruction with applications to CDS exposures (2019) — link
- Reconstructing and stress testing credit networks (2020) — link
- In search of lost edges: A case study on reconstructing financial networks (2019) — link
- A faster horse on a safer trail: generalized inference for the efficient reconstruction of weighted networks (2020) — link
- Maximum likelihood: Extracting unbiased information from complex networks (2008) — link
- Pattern-detection in the global automotive industry: a manufacturer-supplier-product network analysis (2024) — link
- Input-output economics (1986)
- Just in time, total quality management, and supply chain management: understanding their linkages and impact on business performance (2005)
- Bringing together strategic outsourcing and corporate strategy:: Outsourcing motives and risks (2003)
- The supply base and its complexity: Implications for transaction costs, risks, responsiveness, and innovation (2006) — link
- Ripple effect in the supply chain: an analysis and recent literature (2018) — link
- Simulation-based ripple effect modelling in the supply chain (2017) — link
- A theory of the nexus supplier: A critical supplier from a network perspective (2015) — link
- Supply networks and complex adaptive systems: control versus emergence (2001) — link
- Reconstructing supply networks (2024) — link
- Revealing production networks from firm growth dynamics — → 2302.09906
- Supply chain link prediction on uncertain knowledge graph (2022) — link
- Reconstructing firm-level input-output networks from partial information (2023) — link
- Enhanced reconstruction of weighted networks from strengths and degrees (2014) — link
- Critical density for network reconstruction — → 2305.17285
- In and out of lockdown: Propagation of supply and demand shocks in a dynamic input-output model (2021) — link
- Grand canonical ensemble of weighted networks (2019) — link
- Building an alliance to map global supply networks (2023) — link
- Towards a post-oil economy: a complexity approach to understanding natural resource dependency and economic diversification in Ecuador (2021)
- The impact of supply chain integration on the ``snowball effect’’ in the transmission of disruptions: A n empirical evaluation of the model (2014) — link
- The S everity of S upply C hain D isruptions: D esign C haracteristics and M itigation C apabilities (2007) — link
- Unfolding the hidden structure of the H ungarian multi-layer firm network (2020)
- YOUR COMPANION GUIDE TO INTERNATIONAL STATISTICAL CLASSIFICATIONS. SECTION IV - DESCRIPTION OF THE MAIN ECONOMIC CLASSIFICATIONS (2021) — link
- Input- O utput A nalysis: F oundations and E xtensions (2009)
- The economic impacts of Russia–Ukraine War export disruptions of grain commodities (2023) — link
- Related trade linkages, foreign firms, and employment growth in less developed regions (2016)
- Foreign-owned firms as agents of structural change in regions (2019) — link
- Transmission of Domestic and External Shocks through Input-Output Network: Evidence from Korean Industries (2019) — link
- The uncertainty of systemic risk (2015) — link
- What Is Systemic Risk, and Do Bank Regulators Retard or Contribute to It? (2003)
- Systemic Risk in Banking Ecosystems (2011) — link
- Systemic Risk: The Impact of COVID-19tn1] (2020) — link
- Systemic Risk Assessment in Complex Supply Networks (2018) — link
- Disruptions in Supply Networks: A Probabilistic Risk Assessment Approach (2015) — link
- The Role of Just‐In‐Time in Supply Chain Management (2000) — link
- An analysis of the structural complexity of supply chain networks (2014) — link
- Supply-chain networks: a complex adaptive systems perspective (2005) — link
- Systemic Risk and Stability in Financial Networks (2015) — link
- Measuring Systemic Risk (2016) — link
- Firms’ responses to the COVID-19 pandemic (2023) — link
- Navigating the New Normal: Which firms have adapted better to the COVID-19 disruption? (2022) — link
- Marketing innovations during a global crisis: A study of China firms’ response to COVID-19 (2020) — link
- Manufacturing and service supply chain resilience to the COVID-19 outbreak: Lessons learned from the automobile and airline industries (2021) — link
- Impacts of COVID-19 on Global Supply Chains: Facts and Perspectives (2020) — link
- The Future of Global Supply Chains in a Post-COVID-19 World (2022) — link
- Modelling supply chain adaptation for disruptions: An empirically grounded complex adaptive systems approach (2019) — link
- Understanding Responses to Supply Chain Disruptions: Insights from Information Processing and Resource Dependence Perspectives (2011) — link
- Stages of Supply Chain Disruption Response: Direct, Constraining, and Mediating Factors for Impact Mitigation (2017) — link
- Firm innovation and supply chain resilience: a dynamic capability perspective (2020) — link
- Input specificity and the propagation of idiosyncratic shocks in production networks (2016)
- Co-location of skill-related suppliers: advancing coagglomeration research using firm-to-firm network data (2026) — link
- Imported inputs and productivity (2015)
- Covid-19 and Swiss Post: Volume Developments and the Economic Value of Postal Service, in the Pandemic and Beyond (2023) — link
- Systemic risk mitigation in supply chains through network rewiring (2026)
- Trade and domestic production networks (2021)
- Reshaping of global supply chains will take place, but it will not happen fast (2020)
- Global sourcing and domestic production networks (2017)
- Disruption of international trade and its propagation through firm-level domestic supply chains: A case of Japan (2023)
- Estimating the impact of supply chain network contagion on financial stability — → 2305.04865
- Endogenous Production Networks (2020) — link
- Nonconvergence to General Equilibrium in Production Networks (2025) — link
- Null models of economic networks: the case of the world trade web (2013) — link
- Information Theory and Statistical Mechanics (1957) — link
4 of 214 cited works are in the corpus; resolved via arXiv source bundles, Semantic Scholar and OpenAlex. Corpus-wide: 2518 linked papers.