메뉴 건너뛰기




Volumn 15, Issue , 2017, Pages 49-70

A segregation problem in multi-population mean field games

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85052390709     PISSN: 24740179     EISSN: 24740187     Source Type: Book Series    
DOI: 10.1007/978-3-319-70619-1_3     Document Type: Chapter
Times cited : (11)

References (24)
  • 3
    • 85007107331 scopus 로고    scopus 로고
    • A Generalized Newton Method for Homogenization of Hamilton– Jacobi Equations
    • Cacace, S. and Camilli, F. A Generalized Newton Method for Homogenization of Hamilton– Jacobi Equations. SIAM Journal on Scientific Computing, 38 (6), (2016), A3589–A3617.
    • (2016) SIAM Journal on Scientific Computing , vol.38 , Issue.6 , pp. A3589-A3617
    • Cacace, S.1    Camilli, F.2
  • 5
    • 84942369075 scopus 로고    scopus 로고
    • Second order mean field games with degenerate diffusion and local coupling
    • Cardaliaguet, P., Graber, J., Porretta, A. and Tonon, D. Second order mean field games with degenerate diffusion and local coupling. Nonlinear Differ. Equ. Appl., 22 (5), (2015), 1287–1317.
    • (2015) Nonlinear Differ. Equ. Appl. , vol.22 , Issue.5 , pp. 1287-1317
    • Cardaliaguet, P.1    Graber, J.2    Porretta, A.3    Tonon, D.4
  • 7
    • 85028753869 scopus 로고    scopus 로고
    • Weak solutions for first order mean field games with local coupling
    • “, Bettiol, P., Cannarsa, P., Colombo, G., Motta, M., & Rampazzo, F. Springer INdAM Series 11
    • Cardaliaguet, P. Weak solutions for first order mean field games with local coupling. In “Analysis and Geometry in Control Theory and its Applications.” ed. Bettiol, P., Cannarsa, P., Colombo, G., Motta, M., & Rampazzo, F. Springer INdAM Series 11, (2015), 111–158.
    • (2015) Analysis and Geometry in Control Theory and Its Applications , pp. 111-158
    • Cardaliaguet, P.1
  • 8
    • 84938751802 scopus 로고    scopus 로고
    • A generalization of the Hopf-Cole transformation for stationary Mean Field Games systems
    • Cirant, M. A generalization of the Hopf-Cole transformation for stationary Mean Field Games systems. Comptes Rendus Mathematique, 353 (9), (2015), 807–811.
    • (2015) Comptes Rendus Mathematique , vol.353 , Issue.9 , pp. 807-811
    • Cirant, M.1
  • 9
    • 85019614845 scopus 로고    scopus 로고
    • Bifurcation and segregation in quadratic two-populations Mean Field Games systems
    • Cirant, M. and Verzini, G. Bifurcation and segregation in quadratic two-populations Mean Field Games systems. ESAIM: COCV 23 (2017), 1145–1177
    • (2017) ESAIM: COCV , vol.23 , pp. 1145-1177
    • Cirant, M.1    Verzini, G.2
  • 10
    • 0037455845 scopus 로고    scopus 로고
    • An optimal partition problem related to nonlinear eigenvalues
    • Conti, M., Terracini, S. and Verzini, G. An optimal partition problem related to nonlinear eigenvalues. J. Funct. Anal., 198 (1), (2003), 160–196.
    • (2003) J. Funct. Anal. , vol.198 , Issue.1 , pp. 160-196
    • Conti, M.1    Terracini, S.2    Verzini, G.3
  • 11
    • 84887513526 scopus 로고    scopus 로고
    • The derivation of ergodic mean field game equations for several populations of players
    • Feleqi, E. The derivation of ergodic mean field game equations for several populations of players. Dynamic Games and Applications, 3 (4), (2013), 523–536.
    • (2013) Dynamic Games and Applications , vol.3 , Issue.4 , pp. 523-536
    • Feleqi, E.1
  • 12
    • 84920546994 scopus 로고    scopus 로고
    • AN INTRODUCTION TO THE REGULARITY THEORY FOR ELLIPTIC SYSTEMS, HARMONIC MAPS AND MINIMAL GRAPHS
    • Edizioni della Normale, Pisa
    • Giaquinta, M. and Martinazzi, L. AN INTRODUCTION TO THE REGULARITY THEORY FOR ELLIPTIC SYSTEMS, HARMONIC MAPS AND MINIMAL GRAPHS. Lecture Notes. Scuola Normale Superiore di Pisa (New Series), 11, Edizioni della Normale, Pisa, (2012).
    • (2012) Lecture Notes. Scuola Normale Superiore Di Pisa (New Series) , vol.11
    • Giaquinta, M.1    Martinazzi, L.2
  • 14
    • 84899464039 scopus 로고    scopus 로고
    • Mean field games models-a brief survey
    • Gomes, D.A. and Saúde, J. Mean field games models-a brief survey. Dynamic Games and Applications, 4 (2), (2014), 110–154.
    • (2014) Dynamic Games and Applications , vol.4 , Issue.2 , pp. 110-154
    • Gomes, D.A.1    Saúde, J.2
  • 16
    • 39549087376 scopus 로고    scopus 로고
    • Large population stochastic dynamic games: Closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
    • Huang, M., Malhamé, R.P. and Caines, P.E. Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle. Communication in information and systems, 6 (3), (2006), 221–252.
    • (2006) Communication in Information and Systems , vol.6 , Issue.3 , pp. 221-252
    • Huang, M.1    Malhamé, R.P.2    Caines, P.E.3
  • 17
    • 34648831837 scopus 로고    scopus 로고
    • Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized-Nash Equilibria
    • Huang, M., Caines, P.E. and Malhamé, R.P. Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized-Nash Equilibria. IEEE Transactions on Automatic Control, 52 (9), (2007), 1560–1571.
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.9 , pp. 1560-1571
    • Huang, M.1    Caines, P.E.2    Malhamé, R.P.3
  • 18
    • 84874236760 scopus 로고    scopus 로고
    • Mean field games and nonlinear Markov processes
    • Kolokoltsov, V. N., Li, J. and Yang, W. Mean field games and nonlinear Markov processes. Preprint arXiv:1112.3744 (2011).
    • (2011) Preprint Arxiv , vol.1112 , pp. 3744
    • Kolokoltsov, V.N.1    Li, J.2    Yang, W.3
  • 19
    • 80455173864 scopus 로고    scopus 로고
    • On a mean field game approach modeling congestion and aversion in pedestrian crowds
    • Lachapelle, A. and Wolfram, M.-T. On a mean field game approach modeling congestion and aversion in pedestrian crowds, Transportation research part B: methodological, 45 (10), (2011), 1572–1589.
    • (2011) Transportation Research Part B: Methodological , vol.45 , Issue.10 , pp. 1572-1589
    • Lachapelle, A.1    Wolfram, M.-T.2
  • 20
    • 0000104617 scopus 로고
    • Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints
    • Lasry, J.-M. and Lions, P.-L. Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. Mathematische Annalen, 283 (4), (1989), 583–630.
    • (1989) Mathematische Annalen , vol.283 , Issue.4 , pp. 583-630
    • Lasry, J.-M.1    Lions, P.-L.2
  • 21
    • 33750627999 scopus 로고    scopus 로고
    • Jeux à champ moyen. I. Le cas stationnaire
    • Lasry, J.-M. and Lions, P.-L. Jeux à champ moyen. I. Le cas stationnaire. C. R. Math. Acad. Sci. Paris, 343 (9), (2006), 619–625.
    • (2006) C. R. Math. Acad. Sci. Paris , vol.343 , Issue.9 , pp. 619-625
    • Lasry, J.-M.1    Lions, P.-L.2
  • 22
    • 33751077273 scopus 로고    scopus 로고
    • Jeux à champ moyen. II. Horizon fini et contrôle optimal
    • Lasry, J.-M. and Lions, P.-L. Jeux à champ moyen. II. Horizon fini et contrôle optimal. C. R. Math. Acad. Sci. Paris, 343 (10), (2006), 679–684.
    • (2006) C. R. Math. Acad. Sci. Paris , vol.343 , Issue.10 , pp. 679-684
    • Lasry, J.-M.1    Lions, P.-L.2
  • 23
    • 34047127341 scopus 로고    scopus 로고
    • Mean field games
    • Lasry, J.-M. and Lions, P.-L. Mean field games. Jpn. J. Math., 2 (1), (2007), 229–260.
    • (2007) Jpn. J. Math. , vol.2 , Issue.1 , pp. 229-260
    • Lasry, J.-M.1    Lions, P.-L.2
  • 24
    • 84963860063 scopus 로고    scopus 로고
    • Hölder bounds and regularity of emerging free boundaries for strongly competing Schrödinger equations with nontrivial grouping
    • Soave, N., Tavares, H., Terracini, S. and Zilio, A. Hölder bounds and regularity of emerging free boundaries for strongly competing Schrödinger equations with nontrivial grouping. Nonlinear Analysis: Theory, Methods & Applications, 138, (2016), 388–427.
    • (2016) Nonlinear Analysis: Theory, Methods & Applications , vol.138 , pp. 388-427
    • Soave, N.1    Tavares, H.2    Terracini, S.3    Zilio, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.