Forward-Forward Mean Field Games in mathematical modeling with application to opinion formation and voting models
Analysis of PDEs
2024-02-01 v3
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 study the well-posedness of the problem in a quite general setting and explain how it is 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
Cite
@article{arxiv.2308.10128,
title = {Forward-Forward Mean Field Games in mathematical modeling with application to opinion formation and voting models},
author = {Adriano Festa and Simone Gottlich and Michele Ricciardi},
journal= {arXiv preprint arXiv:2308.10128},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:1606.09064 by other authors