7 citations · 10 across the 3 of their papers we have counts for
3 papers
math.OC2021★ 1 cited
A mean field game model of firm--level innovation
Matt Barker, Pierre Degond, Ralf Martin +1
Knowledge spillovers occur when a firm researches a new technology and that technology is adapted or adopted by another firm, resulting in a social value of the technology that is…
math.OC2019★ 2 cited
Comparing the best reply strategy and mean field games: the stationary case
Matt Barker, Pierre Degond, Marie-Therese Wolfram
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…
math.OC2019★ 7 cited
From mean field games to the best reply strategy in a stochastic framework
Matt Barker
This paper builds on the work of Degond, Herty and Liu by considering N-player stochastic differential games. The control corresponding to a Nash equilibrium of such a game is appr…