Learning Sequential Mobility Choice: A Review of Route and Activity Choice through Inverse Reinforcement and Imitation Learning

Route and activity choice are connected levels of a common sequential mobility decision problem: activity choice determines what people do, where, and when, while route choice governs how they move between activities. This review develops a unified framework connecting transportation choice modeling with inverse reinforcement learning (IRL) and imitation learning (IL). Under explicit assumptions, recursive logit, logit dynamic discrete choice, and maximum-entropy IRL share a soft Bellman representation, while trajectory occupancies and network flows satisfy related conservation laws. However, utility, reward, policy, occupancy, constraints, and observation errors remain different estimands with different behavioral and counterfactual interpretations. We review constrained and inverse-constrained learning, occupancy-ratio and DICE methods, incomplete and mixed-quality demonstrations, graph and sequence learning, transfer, data fusion, multi-agent choice, and large language models. Our central message is that machine learning adds the greatest value when embedded within a behaviorally disciplined framework: exact transitions enforce feasibility, structured rewards preserve interpretable trade-offs, observation models address heterogeneous data sources, and network or equilibrium solvers produce coherent system outcomes. Such hybrid models can improve scalability and prediction without sacrificing behavioral identification or policy relevance.