Static-to-dynamic modeling of the coupled mobility-as-a-service subscriptions and travel choices
Published in TRANSPORTATION RESEARCH PART C:Emerging Technologies, 2026
A distinguishing feature of the emerging Mobility-as-a-Service (MaaS) is the provision of integrated mobility services through subscription plans, commonly known as MaaS bundles. While its intertemporal and multi-modal tariff structure creates a close coupling between periodic subscription decisions and daily travel choices, theoretical analyses remain limited in the interplay between periodic bundle subscriptions and daily path choices. This study addresses this gap by examining how these intertwined travel behaviors influence system evolution, stability, and overall performance under MaaS’s two-part tariff structure. We first develop a hierarchical discrete choice model that incorporates travelers’ heterogeneous loyalty to MaaS bundles to characterize the static equilibrium, formulated as a variational inequality problem. We then represent the dynamic evolution of subscriptions and path choices through a two-level day-to-day dynamical model that embeds both path inertia and bundle loyalty, and we derive the corresponding separate sufficient and necessary stability conditions. Both theoretical and numerical convergence analyses reveal that daily path inertia dominates the convergence of the coupled dynamics, outweighing the influence of bundle loyalty. We further introduce a bundle-pricing framework under a two-part tariff structure that links travelers’ choices with system performance and supports evaluating trade-offs across policy objectives. Finally, static optimal bundle pricing, which is computationally less demanding than dynamically optimizing bundle prices, also demonstrates robust performance in dynamic scenarios.
Recommended citation: Pan, M., Sun, X., Mo, H. (2026). Static-to-dynamic modeling of the coupled mobility-as-a-service subscriptions and travel choices. Transportation Research Part C: Emerging Technologies, 191, 105847.
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