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Multiscale Control of Stackelberg Games

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  • Michael Herty
  • Sonja Steffensen
  • Anna Thunen

Abstract

We present a linear--quadratic Stackelberg game with a large number of followers and we also derive the mean field limit of infinitely many followers. The relation between optimization and mean-field limit is studied and conditions for consistency are established. Finally, we propose a numerical method based on the derived models and present numerical results.

Suggested Citation

  • Michael Herty & Sonja Steffensen & Anna Thunen, 2020. "Multiscale Control of Stackelberg Games," Papers 2011.03405, arXiv.org.
    • Handle: RePEc:arx:papers:2011.03405
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