Publications

2026

1. arXiv

   How language model agents reshape price competition

   Martin Bichler, Philip Hierhager, Kassian Köck, and 1 more author

   2026

   Abs arXiv PDF

   This paper studies language model pricing agents in repeated Bertrand competition. Their behavior depends on deployment choices: agents using raw market histories that include rival prices can sustain supracompetitive prices in self-play, while agents using summarized histories of their own profits tend toward competitive prices. Mixed deployments can produce dynamic pricing regimes that keep both competitors’ prices above marginal cost.

2. arXiv

   Liouville-Preserving Hamiltonian Scattering on Finite Metric Graphs

   Philip Hierhager

   2026

   Abs arXiv PDF

   This paper studies deterministic Hamiltonian dynamics on finite metric graphs. Since energy conservation alone does not determine how a trajectory continues through a branching vertex, the paper introduces energy-preserving vertex scattering maps. The resulting edge-and-vertex dynamics define a global measurable flow that preserves energy and the quotient Liouville measure.