A Two-Point Boundary Value Formulation of a Class of Multi-Population Mean-Field Games

2018 ◽  
Author(s):  
A. Cristofaro ◽  
T. Mylvaganam ◽  
D. Bauso
Keyword(s):  
Boundary Value ◽  
Mean Field ◽  
Mean Field Games ◽  
Point Boundary ◽  
Population Mean

scholarly journals Opinion Dynamics and Stubbornness Via Multi-Population Mean-Field Games

2016 ◽  
Vol 170 (1) ◽  
pp. 266-293 ◽  
Author(s):  
Dario Bauso ◽  
Raffaele Pesenti ◽  
Marco Tolotti
Keyword(s):  
Mean Field ◽  
Opinion Dynamics ◽  
Mean Field Games ◽  
Population Mean

scholarly journals A two-point boundary value formulation of a mean-field crowd-averse game

2014 ◽  
Vol 47 (3) ◽  
pp. 7819-7824 ◽  
Author(s):  
Dario Bauso ◽  
Thulasi Mylvaganam ◽  
Alessandro Astolfi
Keyword(s):  
Boundary Value ◽  
Mean Field ◽  
Point Boundary

scholarly journals Comparing the best-reply strategy and mean-field games: The stationary case

2020 ◽  
pp. 1-32
Author(s):  
MATT BARKER ◽  
PIERRE DEGOND ◽  
MARIE-THERESE WOLFRAM
Keyword(s):  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Mean Field ◽  
Mean Field Games ◽  
Numerical Comparison ◽  
Stationary Case ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Interacting Agents

Mean-field games (MFGs) and the best-reply strategy (BRS) are two methods of describing competitive optimisation of systems of interacting agents. The latter can be interpreted as an approximation of the respective MFG system. In this paper, we present an analysis and comparison of the two approaches in the stationary case. We provide novel existence and uniqueness results for the stationary boundary value problems related to the MFG and BRS formulations, and we present an analytical and numerical comparison of the two paradigms in some specific modelling situations.

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