Modern banking systems rely on intricate networks of interbank deposits to manage liquidity risk. But while these connections help stabilize individual banks, they also create pathways for financial contagion where one bank’s failure cascades through the system. The classic work of Allen and Gale (2000) illustrates this paradox. Their model assumes crises are rare and socially optimal, but this framework has limitations as it doesn’t account for banks’ equity choices, and real-world networks behave differently than theory predicts.
Allen and Gale’s key insight is that if banks have few connections, a single failure can trigger large losses. Gai and Kapadia (2007) later confirmed this in random networks. Empirical studies, however, challenge this view. Bech and Atalay (2008) show that real interbank networks are sparse, yet Furfine (2003) and Upper & Worms (2004) find little evidence of large-scale contagion through interbank deposits. This suggests that while the theoretical risk exists, real-world banking systems may have mitigating factors such as central bank interventions or market discipline that prevent meltdowns.
Some models explore whether banks can self-insure against counterparty risk. Babus (2009) finds that in some cases, banks hold mutual deposits as a hedge, creating a mixed equilibrium where some fully insure while others remain exposed. But in reality, centralized insurance markets often fail implying banks may not internalize systemic risks when making bilateral deals. Dasgupta (2004) introduces a positive probability of crisis, but still assumes a social planner’s solution, ignoring decentralized decision-making. Meanwhile, Kiyotaki and Moore (1997) highlight that credit chains create externalities because lenders don’t account for how their actions affect the broader network. If banks won’t renegotiate loans in distress, the system becomes brittle.
A crucial missing piece in many models is equity choice as banks don’t just optimize liquidity. Rampini and Viswanathan (2009) show that firms with limited net worth may rationally skip hedging because equity is too expensive. This helps explain why banks operate with thin buffers. If the opportunity cost of capital is high, they’ll take on more risk rather than self-insure. If banks won’t hold enough equity and can’t fully insure against contagion, the system remains vulnerable.
The disconnect between theory and reality raises critical questions for regulators. Should capital requirements account for network structure? Can central banks act as "circuit breakers" to halt contagion? Are market-based solutions better than forced equity?