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Kinetic Mean-Field Planning via Schrödinger Bridges: Existence, Penalization, and Consistency Bounds
We study a mean-field planning problem for a swarm of interacting, non-cooperative agents whose dynamics are stochastic and kinetic. The noise acts on the velocity only, and the interaction (of Cucker-Smale type for instance) enters through the drift. For a fixed flow, the problem reduces to a Schrö
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