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Volumn 24, Issue 1, 2014, Pages 93-115

Large-scale dynamics of mean-field games driven by local nash equilibria

Author keywords

Best reply scheme; Coarse graining procedure; Continuum of players; Kinetic theory; Local Nash equilibrium; Macroscopic closure; Non cooperative non atomic anonymous games; Potential games; Rational agent; Social herding behavior

Indexed keywords

GAME THEORY; KINETIC THEORY;

EID: 84898548072     PISSN: 09388974     EISSN: 14321467     Source Type: Journal    
DOI: 10.1007/s00332-013-9185-2     Document Type: Article
Times cited : (53)

References (32)
  • 3
    • 0002056057 scopus 로고
    • Existence of competitive equilibria in markets with a continuum of traders
    • Aumann, R.: Existence of competitive equilibria in markets with a continuum of traders. Econometrica 32, 39-50 (1964)
    • (1964) Econometrica , vol.32 , pp. 39-50
    • Aumann, R.1
  • 4
    • 84883782647 scopus 로고    scopus 로고
    • Variational methods applied to biology and economics
    • University Toulouse 1 Capitole, December
    • Blanchet, A.: Variational methods applied to biology and economics. Dissertation for the Habilitation, University Toulouse 1 Capitole, December (2012)
    • (2012) Dissertation for the Habilitation
    • Blanchet, A.1
  • 7
    • 85068762191 scopus 로고    scopus 로고
    • (from P.-L. Lions' lectures at Collège de France)
    • Cardaliaguet, P.: Notes on Mean Field Games (from P.-L. Lions' lectures at Collège de France) (2012)
    • (2012) Notes on Mean Field Games
    • Cardaliaguet, P.1
  • 8
    • 49449106913 scopus 로고    scopus 로고
    • Continuum limit of self-driven particles with orientation interaction
    • Degond, P.,Motsch, S.: Continuum limit of self-driven particles with orientation interaction. Math.Models Methods Appl. Sci. 18(Suppl.), 1193-1215 (2008)
    • (2008) Math.Models Methods Appl. Sci. , vol.18 , Issue.SUPPL. , pp. 1193-1215
    • Degond, P.1    Motsch, S.2
  • 9
    • 34548537653 scopus 로고    scopus 로고
    • Macroscopic fluid models with localized kinetic upscaling effects
    • Degond, P., Liu, J.-G., Mieussens, L.: Macroscopic fluid models with localized kinetic upscaling effects. SIAM J. Multiscale Model. Simul. 5, 940-979 (2006)
    • (2006) SIAM J. Multiscale Model. Simul. , vol.5 , pp. 940-979
    • Degond, P.1    Liu, J.-G.2    Mieussens, L.3
  • 10
    • 84878583602 scopus 로고    scopus 로고
    • Macroscopic limits and phase transition in a system of self-propelled particles
    • Degond, P., Frouvelle, A., Liu, J.-G.: Macroscopic limits and phase transition in a system of self-propelled particles. J. Nonlinear Sci. 23, 427-456 (2013a)
    • (2013) J. Nonlinear Sci. , vol.23 , pp. 427-456
    • Degond, P.1    Frouvelle, A.2    Liu, J.-G.3
  • 12
    • 84898543846 scopus 로고    scopus 로고
    • Hydrodynamic models of self-organized dynamics: Derivation and existence theory
    • to appear
    • Degond, P., Liu, J.-G., Motsch, S., Panferov, V.: Hydrodynamic models of self-organized dynamics: derivation and existence theory. Methods Appl. Anal. (2013c, to appear)
    • (2013) Methods Appl. Anal.
    • Degond, P.1    Liu, J.-G.2    Motsch, S.3    Panferov, V.4
  • 13
    • 84867942511 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge E W
    • E, W.: Principles of Multiscale Modeling. Cambridge University Press, Cambridge (2011)
    • (2011) Principles of Multiscale Modeling
  • 14
    • 84861374997 scopus 로고    scopus 로고
    • Dynamics in a kinetic model of oriented particles with phase transition
    • Frouvelle, A., Liu, J.G.: Dynamics in a kinetic model of oriented particles with phase transition. SIAM J. Math. Anal. 44, 791-826 (2012)
    • (2012) SIAM J. Math. Anal. , vol.44 , pp. 791-826
    • Frouvelle, A.1    Liu, J.G.2
  • 15
    • 0001965756 scopus 로고
    • Noncooperative collusion under imperfect price information
    • Green, E.J., Porter, R.H.: Noncooperative collusion under imperfect price information. Econometrica 52, 87-100 (1984)
    • (1984) Econometrica , vol.52 , pp. 87-100
    • Green, E.J.1    Porter, R.H.2
  • 18
    • 0342716592 scopus 로고    scopus 로고
    • Free energy and the Fokker-Planck equation
    • Jordan, R., Kinderlehrer, D., Otto, F.: Free energy and the Fokker-Planck equation. Physica D 107, 265- 271 (1997)
    • (1997) Physica D , vol.107 , pp. 265-271
    • Jordan, R.1    Kinderlehrer, D.2    Otto, F.3
  • 19
    • 0031256777 scopus 로고    scopus 로고
    • Pure strategy Nash equilibrium in a group formation game with positive externalities
    • Konishi, H., Le Breton, M., Weber, S.: Pure strategy Nash equilibrium in a group formation game with positive externalities. Games Econ. Behav. 21, 161-182 (1997)
    • (1997) Games Econ. Behav. , vol.21 , pp. 161-182
    • Konishi, H.1    Le Breton, M.2    Weber, S.3
  • 22
    • 0000090588 scopus 로고
    • On kinematic waves. I: Flow movement in long rivers. II: A theory of traffic flow on long crowded roads
    • Lighthill, M.J.,Whitham, J.B.: On kinematic waves. I: flow movement in long rivers. II: a theory of traffic flow on long crowded roads. Proc. R. Soc. A 229, 281-345 (1955)
    • (1955) Proc. R. Soc. A , vol.229 , pp. 281-345
    • Lighthill, M.J.1    Whitham, J.B.2
  • 23
    • 0001396794 scopus 로고
    • On a theorem of Schmeidler
    • Mas-Colell, A.: On a theorem of Schmeidler. J. Math. Econ. 13, 201-206 (1984)
    • (1984) J. Math. Econ. , vol.13 , pp. 201-206
    • Mas-Colell, A.1
  • 25
    • 0002021736 scopus 로고
    • Equilibrim points in n-person games
    • Nash, J.F.: Equilibrim points in n-person games. Proc. Natl. Acad. Sci. USA 36, 48-49 (1950)
    • (1950) Proc. Natl. Acad. Sci. USA , vol.36 , pp. 48-49
    • Nash, J.F.1
  • 26
    • 34250442766 scopus 로고
    • A class of games possessing pure-strategy Nash equilibria
    • Rosenthal, R.W.: A class of games possessing pure-strategy Nash equilibria. Int. J. Game Theory 2, 65-67 (1973)
    • (1973) Int. J. Game Theory , vol.2 , pp. 65-67
    • Rosenthal, R.W.1
  • 27
    • 33847330667 scopus 로고
    • Equilibrium points of nonatomic games
    • Schmeidler, D.: Equilibrium points of nonatomic games. J. Stat. Phys. 7, 295-300 (1973)
    • (1973) J. Stat. Phys. , vol.7 , pp. 295-300
    • Schmeidler, D.1
  • 28
    • 0002420932 scopus 로고
    • Investment in human capital
    • Schultz, T.W.: Investment in human capital. Am. Econ. Rev. 51, 1-17 (1961)
    • (1961) Am. Econ. Rev. , vol.51 , pp. 1-17
    • Schultz, T.W.1
  • 29
    • 0017937220 scopus 로고
    • Values of large games, I: A limit theorem
    • Shapiro, N.Z., Shapley, L.S.: Values of large games, I: a limit theorem. Math. Oper. Res. 3, 1-9 (1978)
    • (1978) Math. Oper. Res. , vol.3 , pp. 1-9
    • Shapiro, N.Z.1    Shapley, L.S.2
  • 31
    • 0001730998 scopus 로고
    • Novel type of phase transition in a system of self-driven particles
    • Vicsek, T., Czirók, A., Ben-Jacob, E., Cohen, I., Shochet, O.: Novel type of phase transition in a system of self-driven particles. Phys. Rev. Lett. 75, 1226-1229 (1995)
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 1226-1229
    • Vicsek, T.1    Czirók, A.2    Ben-Jacob, E.3    Cohen, I.4    Shochet, O.5
  • 32
    • 1542342359 scopus 로고    scopus 로고
    • Topics in optimal transportation
    • AMS, Providence
    • Villani, C.: Topics in Optimal Transportation. AMS Graduate Studies in Mathematics, vol. 58. AMS, Providence (2003)
    • (2003) AMS Graduate Studies in Mathematics , vol.58
    • Villani, C.1


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