Existence and non-existence for time-dependent mean field games with strong aggregation

HIGHLIGHTS

• who: Marco Cirant from the Dipartimento di matematica "Tullio Levi-Civita", Università di Padova, Via Trieste, Padova, Italy have published the research: Existence and non-existence for time-dependent mean field games with strong aggregation, in the Journal: (JOURNAL)
• what: The authors investigate the existence of classical solutions to second-order quadratic MeanField Games systems with local and strongly decreasing couplings of the form -σ m α α ≥ 2/N where m is the population density and N is the dimension of the state space. For large σ the authors show that existence may fail whenever the time horizon . . .
  

   

  

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