Highlights • Describe equilibrium of competitive ride-sourcing market with platform-integration; • Compare the two markets with and without platform-integration; • Determine optimal trip fares of ride-sourcing platforms in the two markets; • Platform-integration enhances social welfare by eliminating market fragmentation cost; • Platform-integration does not necessarily increase platform profit.

Abstract Recently, some third-party integrators attempt to integrate the ride services offered by multiple independent ride-sourcing platforms. Accordingly, passengers can request ride through the integrators and receive ride service from any one of the ride-sourcing platforms. This novel business model, termed as third-party platform-integration in this work, has potentials to alleviate market fragmentation cost resulting from demand splitting among multiple platforms. Although most existing studies focus on operation strategies for one single monopolist platform, much less is known about the competition and platform-integration and their implications on operation strategy and system efficiency. In this work, we propose mathematical models to describe the ride-sourcing market with multiple competing platforms and compare system performance measures between two market scenarios (i.e., with and without platform-integration) at Nash equilibrium and social optimum. We find that platform-integration can increase the total realized demand and social welfare at Nash equilibrium and social optimum, but may not necessarily generate a greater profit when the vehicle supply is sufficiently large, and/or the market is considerably fragmented. We show that the market with platform-integration generally achieves greater social welfare due to two reasons. First, platform-integration can generate a thicker market and reduce matching frictions; second, multiple ride-sourcing platforms are competing for passengers by setting lower trip fares independently.