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Forward-Forward Mean Field Games in Mathematical Modeling with Application to Opinion Formation and Voting Models

Author

Listed:
  • Adriano Festa

    (Politecnico di Torino)

  • Simone Göttlich

    (University of Mannheim)

  • Michele Ricciardi

    (Università Luiss Guido Carli)

Abstract

While the general theory for the terminal-initial value problem in mean-field games is widely used in many models of applied mathematics, the modeling potential of the corresponding forward-forward version is still under-considered. In this work, we discuss some features of the problem in a quite general setting and explain how it may be appropriate to model a system of players that have a complete knowledge of the past states of the system and are adapting to new information without any knowledge about the future. Then we show how forward-forward mean field games can be effectively used in mathematical models for opinion formation and other social phenomena.

Suggested Citation

  • Adriano Festa & Simone Göttlich & Michele Ricciardi, 2025. "Forward-Forward Mean Field Games in Mathematical Modeling with Application to Opinion Formation and Voting Models," Dynamic Games and Applications, Springer, vol. 15(2), pages 664-692, May.
    • Handle: RePEc:spr:dyngam:v:15:y:2025:i:2:d:10.1007_s13235-024-00578-3
    DOI: 10.1007/s13235-024-00578-3
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