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

Adriano Festa (), Simone Göttlich () and Michele Ricciardi ()
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Adriano Festa: Politecnico di Torino
Simone Göttlich: University of Mannheim
Michele Ricciardi: Università Luiss Guido Carli

Dynamic Games and Applications, 2025, vol. 15, issue 2, No 14, 664-692

Abstract: 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.

Keywords: Mean-Field Games; Hamilton-Jacobi equations; Fokker-Planck equations; Social mathematical models (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13235-024-00578-3

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