메뉴 건너뛰기




Volumn 77, Issue 1, 2018, Pages 47-71

Existence and Uniqueness of Solutions for Bertrand and Cournot Mean Field Games

Author keywords

Coupled systems; Fokker Planck; Hamilton Jacobi; Mean field games; Nonlinear partial differential equations; Optimal control

Indexed keywords

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 84975156985     PISSN: 00954616     EISSN: 14320606     Source Type: Journal    
DOI: 10.1007/s00245-016-9366-0     Document Type: Article
Times cited : (41)

References (23)
  • 2
    • 84907863442 scopus 로고    scopus 로고
    • Partial differential equation models in the socio-economic sciences
    • Burger, M., Caffarelli, L., Markowich, P.A.: Partial differential equation models in the socio-economic sciences. Philos. Trans. R. Soc. Lond. A 372, 20130406 (2014)
    • (2014) Philos. Trans. R. Soc. Lond. A , vol.372 , pp. 20130406
    • Burger, M.1    Caffarelli, L.2    Markowich, P.A.3
  • 4
    • 84930895016 scopus 로고    scopus 로고
    • Mean field games systems of first order
    • Cardaliaguet, P., Graber, P.J.: Mean field games systems of first order. ESAIM: COCV 21, 690–722 (2015)
    • (2015) ESAIM: COCV , vol.21 , pp. 690-722
    • Cardaliaguet, P.1    Graber, P.J.2
  • 8
    • 84929338403 scopus 로고    scopus 로고
    • Bertrand and Cournot mean field games
    • Chan, P., Sircar, R.: Bertrand and Cournot mean field games. Appl. Math. Optim. 71, 1–37 (2014)
    • (2014) Appl. Math. Optim. , vol.71 , pp. 1-37
    • Chan, P.1    Sircar, R.2
  • 9
    • 85041290161 scopus 로고    scopus 로고
    • Fracking, renewables & mean field games
    • Chan, P.,Sircar, R.: Fracking, renewables & mean field games. Available at SSRN 2632504 (2015)
    • (2015) Available at SSRN 2632504
  • 10
    • 0003448545 scopus 로고    scopus 로고
    • Amer Mathematical Society, Graduate Studies in Mathematics Series
    • Evans, L.: Partial Differential Equations. Amer Mathematical Society, Graduate Studies in Mathematics Series (2010)
    • (2010) Partial Differential Equations
    • Evans, L.1
  • 12
    • 84907863230 scopus 로고    scopus 로고
    • Socio-economic applications of finite state mean field games
    • Gomes, D., Velho, R.M., Wolfram, M.-T.: Socio-economic applications of finite state mean field games. Philos. Trans. R. Soc. Lond. A 372, 20130405 (2014)
    • (2014) Philos. Trans. R. Soc. Lond. A , vol.372 , pp. 20130405
    • Gomes, D.1    Velho, R.M.2    Wolfram, M.-T.3
  • 13
    • 84945453305 scopus 로고    scopus 로고
    • Existence for stationary mean-field games with congestion and quadratic hamiltonians
    • Gomes, D.A., Mitake, H.: Existence for stationary mean-field games with congestion and quadratic hamiltonians. Nonlinear Diff. Equ. Appl. NoDEA 22, 1–14 (2015)
    • (2015) Nonlinear Diff. Equ. Appl. NoDEA , vol.22 , pp. 1-14
    • Gomes, D.A.1    Mitake, H.2
  • 19
    • 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, 221–252 (2006)
    • (2006) Commun. Inf. Syst. , vol.6 , pp. 221-252
    • Huang, M.1    Malhamé, R.P.2    Caines, P.E.3
  • 23
    • 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, 1–62 (2013)
    • (2013) Arch. Ration. Mech. Anal. , vol.216 , pp. 1-62
    • Porretta, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.