메뉴 건너뛰기




Volumn 30, Issue 4, 2018, Pages 1365-1388

On the Existence of Solutions for Stationary Mean-Field Games with Congestion

Author keywords

Congestion problems; Mean field games; Stationary problems

Indexed keywords


EID: 85029052412     PISSN: 10407294     EISSN: 15729222     Source Type: Journal    
DOI: 10.1007/s10884-017-9615-1     Document Type: Article
Times cited : (14)

References (28)
  • 1
    • 84962634880 scopus 로고    scopus 로고
    • Mean field type control with congestion
    • Achdou, Y., Laurière, M.: Mean field type control with congestion. Appl. Math. Optim. 73, 393–418 (2016)
    • (2016) Appl. Math. Optim. , vol.73 , pp. 393-418
    • Achdou, Y.1    Laurière, M.2
  • 4
    • 84926524427 scopus 로고    scopus 로고
    • Multi-population mean field games systems with Neumann boundary conditions
    • Cirant, M.: Multi-population mean field games systems with Neumann boundary conditions. J. Math. Pures Appl. 103(5), 1294–1315 (2015). doi:10.1016/j.matpur.2014.10.013
    • (2015) J. Math. Pures Appl. , vol.103 , Issue.5 , pp. 1294-1315
    • Cirant, M.1
  • 7
    • 84945453305 scopus 로고    scopus 로고
    • Existence for stationary mean-field games with congestion and quadratic Hamiltonians
    • Gomes, D., Mitake, H.: Existence for stationary mean-field games with congestion and quadratic Hamiltonians. NoDEA Nonlinear Differ. Equ. Appl. 22(6), 1897–1910 (2015)
    • (2015) NoDEA Nonlinear Differ. Equ. Appl. , vol.22 , Issue.6 , pp. 1897-1910
    • Gomes, D.1    Mitake, H.2
  • 9
    • 85045415487 scopus 로고    scopus 로고
    • One-Dimensional Stationary Mean-Field Games with Local Coupling
    • Gomes, D., Nurbekyan, L., Prazeres, M.: One-dimensional stationary mean-field games with local coupling. Dyn. Games Appl. (2017). doi:10.1007/s13235-017-0223-9
    • (2017) Dynamic Games and Applications , vol.8 , Issue.2 , pp. 315-351
    • Gomes, D.A.1    Nurbekyan, L.2    Prazeres, M.3
  • 10
    • 84892860445 scopus 로고    scopus 로고
    • On the existence of classical solutions for stationary extended mean field games
    • Gomes, D., Patrizi, S., Voskanyan, V.: On the existence of classical solutions for stationary extended mean field games. Nonlinear Anal. 99, 49–79 (2014)
    • (2014) Nonlinear Anal. , vol.99 , pp. 49-79
    • Gomes, D.1    Patrizi, S.2    Voskanyan, V.3
  • 11
    • 84947474862 scopus 로고    scopus 로고
    • Time dependent mean-field games with logarithmic nonlinearities
    • Gomes, D., Pimentel, E.: Time dependent mean-field games with logarithmic nonlinearities. SIAM J. Math. Anal. 47(5), 3798–3812 (2015)
    • (2015) SIAM J. Math. Anal. , vol.47 , Issue.5 , pp. 3798-3812
    • Gomes, D.1    Pimentel, E.2
  • 12
    • 84978423911 scopus 로고    scopus 로고
    • Local regularity for mean-field games in the whole space
    • Gomes, D., Pimentel, E.: Local regularity for mean-field games in the whole space. Minimax Theory Appl. 01(1), 065–082 (2016)
    • (2016) Minimax Theory Appl. , vol.1 , Issue.1 , pp. 065-082
    • Gomes, D.1    Pimentel, E.2
  • 14
    • 84865604666 scopus 로고    scopus 로고
    • A-priori estimates for stationary mean-field games
    • Gomes, D., Pires, G.E., Sánchez-Morgado, H.: A-priori estimates for stationary mean-field games. Netw. Heterog. Media 7(2), 303–314 (2012)
    • (2012) Netw. Heterog. Media , vol.7 , Issue.2 , pp. 303-314
    • Gomes, D.1    Pires, G.E.2    Sánchez-Morgado, H.3
  • 15
    • 84950311543 scopus 로고    scopus 로고
    • Short-time existence of solutions for mean-field games with congestion
    • Gomes, D., Voskanyan, V.: Short-time existence of solutions for mean-field games with congestion. J. Lond. Math. Soc. (2) 92(3), 778–799 (2015)
    • (2015) J. Lond. Math. Soc. (2) , vol.92 , Issue.3 , pp. 778-799
    • Gomes, D.1    Voskanyan, V.2
  • 19
    • 34648831837 scopus 로고    scopus 로고
    • Large-population cost-coupled LQG problems with nonuniform agents: individual-mass behavior and decentralized ϵ -Nash equilibria
    • Huang, M., Caines, P.E., Malhamé, R.P.: Large-population cost-coupled LQG problems with nonuniform agents: individual-mass behavior and decentralized ϵ -Nash equilibria. IEEE Trans. Autom. Control 52(9), 1560–1571 (2007)
    • (2007) IEEE Trans. Autom. Control , vol.52 , Issue.9 , pp. 1560-1571
    • Huang, M.1    Caines, P.E.2    Malhamé, R.P.3
  • 20
    • 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., Caines, P.E.: Large population stochastic dynamic games: closed-loop McKean–Vlasov systems and the Nash certainty equivalence principle. Commun. Inf. Syst. 6(3), 221–251 (2006)
    • (2006) Commun. Inf. Syst. , vol.6 , Issue.3 , pp. 221-251
    • Huang, M.1    Malhamé, R.P.2    Caines, P.E.3
  • 21
    • 33750627999 scopus 로고    scopus 로고
    • Jeux à champ moyen. I. Le cas stationnaire
    • Lasry, J.-M., Lions, P.-L.: Jeux à champ moyen. I. Le cas stationnaire. C. R. Math. Acad. Sci. Paris 343(9), 619–625 (2006)
    • (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., Lions, P.-L.: Jeux à champ moyen. II. Horizon fini et contrôle optimal. C. R. Math. Acad. Sci. Paris 343(10), 679–684 (2006)
    • (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., Lions, P.-L.: Mean field games. Jpn. J. Math. 2(1), 229–260 (2007)
    • (2007) Jpn. J. Math. , vol.2 , Issue.1 , pp. 229-260
    • Lasry, J.-M.1    Lions, P.-L.2
  • 26
    • 85015147717 scopus 로고    scopus 로고
    • Regularity for second-order stationary mean-field games
    • Pimentel, E., Voskanyan, V.: Regularity for second-order stationary mean-field games. Indiana Univ. Math. J. 66(1), 1–22 (2017)
    • (2017) Indiana Univ. Math. J. , vol.66 , Issue.1 , pp. 1-22
    • Pimentel, E.1    Voskanyan, V.2
  • 27
    • 84899459829 scopus 로고    scopus 로고
    • On the planning problem for the mean field games system
    • Porretta, A.: On the planning problem for the mean field games system. Dyn. Games Appl. 4(2), 231–256 (2014)
    • (2014) Dyn. Games Appl. , vol.4 , Issue.2 , pp. 231-256
    • Porretta, A.1
  • 28
    • 84925014244 scopus 로고    scopus 로고
    • Weak solutions to Fokker–Planck equations and mean field games
    • Porretta, A.: Weak solutions to Fokker–Planck equations and mean field games. Arch. Ration. Mech. Anal. 216(1), 1–62 (2015)
    • (2015) Arch. Ration. Mech. Anal. , vol.216 , Issue.1 , pp. 1-62
    • Porretta, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.