2020/11/06 by Herty, Michael, Steffensen, Sonja, Thünen, Anna
#49N80 #82B40 #91A16 #91A65 #Dynamical Systems (math.DS) #FOS: Economics and business #FOS: Mathematics #Optimization and Control (math.OC) #Theoretical Economics (econ.TH)
paper · doi:10.48550/arxiv.2011.03405
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.