期刊
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
卷 60, 期 3, 页码 -出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s00526-021-01936-4
关键词
49L25; 49N60; 49K40; 49N90
资金
- University of Rome Tor Vergata (Consolidate the Foundations 2015)
- Istituto Nazionale di Alta Matematica F. Severi (GNAMPA 2016 Research Projects)
- MIUR Excellence Department Project [CUP E83C18000100006]
- ANR [ANR-16-CE40-0015-01]
- AFOSR [FA9550-18-1-0494]
This paper explores Mean Field Games with state constraints, providing a meaning to the associated PDE system and showing a global semiconvexity property of the value function in optimal control problems with state constraints.
Mean Field Games with state constraints are differential games with infinitely many agents, each agent facing a constraint on his state. The aim of this paper is to provide a meaning of the PDE system associated with these games, the so-called Mean Field Game system with state constraints. For this, we show a global semiconvavity property of the value function associated with optimal control problems with state constraints.
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