Why Crypto Prices Move Without Executions: Order Book Integrity and the Hidden Risk of Fragmented Exchanges

Virtual asset markets exhibit significant heterogeneity in execution quality across exchanges, even for identical trading pairs. Traders frequently observe that price movements depicted on charts do not translate into actual trade executions, leading to failures of conditional orders such as stop-losses. This paper argues that this phenomenon is not a result of trader error but stems from structural differences in market microstructure and liquidity architecture. We introduce a formal framework that decouples price movements from trade executions and propose novel metrics to quantify phantom price movements, order book fragility, and execution continuity. Using high-frequency order book and trade data, we conduct a comparative analysis of fragmented, retail-centric exchanges and institutional liquidity- based execution environments. Our findings reveal that price movements without execution are pervasive in fragmented markets, whereas institutional liquidity environments preserve execution continuity and the validity of conditional orders, even during periods of extreme volatility. These findings have critical implications for risk management, strategy design, and market integrity in virtual asset trading.