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Volumn , Issue , 2006, Pages 4921-4926

Nash certainty equivalence in large population stochastic dynamic games: Connections with the physics of interacting particle systems

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS; PROBLEM SOLVING; STATISTICAL MECHANICS; STOCHASTIC CONTROL SYSTEMS;

EID: 34249105008     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.377683     Document Type: Conference Paper
Times cited : (78)

References (24)
  • 1
    • 0036600717 scopus 로고    scopus 로고
    • Nash equilibria for combined flow control and routing in networks: Asymptotic behavior for a large number of users
    • June
    • E. Altman, T. Basar, and R. Srikant. Nash equilibria for combined flow control and routing in networks: asymptotic behavior for a large number of users. IEEE Trans. Automat. Contr., vol. 47, pp. 917-930, June 2002.
    • (2002) IEEE Trans. Automat. Contr , vol.47 , pp. 917-930
    • Altman, E.1    Basar, T.2    Srikant, R.3
  • 2
    • 39649103313 scopus 로고    scopus 로고
    • Fixed point methods for the simulation of the sharing of a local loop by a large number of interacting TCP connections
    • No. 4154, France
    • F. Baccelli, D. Hong, and Z. Liu. Fixed point methods for the simulation of the sharing of a local loop by a large number of interacting TCP connections. INRIA Tech. Rep. No. 4154, France, 2001.
    • (2001) INRIA Tech. Rep
    • Baccelli, F.1    Hong, D.2    Liu, Z.3
  • 5
    • 0040687609 scopus 로고    scopus 로고
    • Nonlinear self-stabilizing processes. I: Existence, invariant probability, propagation of chaos
    • S. Benachour, B. Roynette, D. Talay and P. Vallois. Nonlinear self-stabilizing processes. I: existence, invariant probability, propagation of chaos. Stochastic Processes Appl., vol. 75, no. 2, pp. 173-201, 1998.
    • (1998) Stochastic Processes Appl , vol.75 , Issue.2 , pp. 173-201
    • Benachour, S.1    Roynette, B.2    Talay, D.3    Vallois, P.4
  • 6
    • 0040094089 scopus 로고    scopus 로고
    • Nonlinear self-stabilizing processes. II: Convergence to invariant probability
    • S. Benachour, B. Roynette and P. Vallois. Nonlinear self-stabilizing processes. II: convergence to invariant probability. Stochastic Processes Appl., vol. 75, no. 2, pp. 203-224, 1998.
    • (1998) Stochastic Processes Appl , vol.75 , Issue.2 , pp. 203-224
    • Benachour, S.1    Roynette, B.2    Vallois, P.3
  • 8
    • 34250144062 scopus 로고
    • Critical dynamics and fluctuations for a mean-field model of cooperative behavior
    • D. A. Dawson. Critical dynamics and fluctuations for a mean-field model of cooperative behavior. J. Statist. Phys., vol. 31, no. 1, pp. 29-85, 1983.
    • (1983) J. Statist. Phys , vol.31 , Issue.1 , pp. 29-85
    • Dawson, D.A.1
  • 9
    • 0001356070 scopus 로고
    • Large deviations from the McKean-Vlasov limit for weakly interacting diffussions
    • D. A. Dawson and J. Gärtner. Large deviations from the McKean-Vlasov limit for weakly interacting diffussions. Stochastics, vol. 20, pp. 247-308, 1987.
    • (1987) Stochastics , vol.20 , pp. 247-308
    • Dawson, D.A.1    Gärtner, J.2
  • 10
    • 0007090304 scopus 로고
    • Optimizing advertising expenditures in a dynamic duopoly
    • K. R. Deal. Optimizing advertising expenditures in a dynamic duopoly. Operations Research, vol. 27, no. 4, pp. 682-692, 1979.
    • (1979) Operations Research , vol.27 , Issue.4 , pp. 682-692
    • Deal, K.R.1
  • 11
    • 0010965654 scopus 로고
    • Differential game models of advertsing competition
    • G. M. Erickson. Differential game models of advertsing competition. Europ. J. Oper. Res., vol. 83, pp. 431-438, 1995.
    • (1995) Europ. J. Oper. Res , vol.83 , pp. 431-438
    • Erickson, G.M.1
  • 13
    • 1542359162 scopus 로고    scopus 로고
    • Individual and mass behaviour in large population stochastic wireless power control problems: Centralized and Nash equilibrium solutions
    • Maui, Hawaii, pp, Dec
    • M. Huang, P. E. Caines, and R. P. Malhamé. Individual and mass behaviour in large population stochastic wireless power control problems: centralized and Nash equilibrium solutions. Proc. 42nd IEEE Conf. Decision Contr., Maui, Hawaii, pp. 98-103, Dec. 2003.
    • (2003) Proc. 42nd IEEE Conf. Decision Contr , pp. 98-103
    • Huang, M.1    Caines, P.E.2    Malhamé, R.P.3
  • 14
    • 14244256597 scopus 로고    scopus 로고
    • Large-population cost-coupled LQG problems: Generalizations to non-uniform individuals
    • Paradise Island, Bahamas, pp, December
    • M. Huang, P. E. Caines, and R. P. Malhamé. Large-population cost-coupled LQG problems: generalizations to non-uniform individuals. Proc. the 43rd IEEE Conference on Decision and Control, Paradise Island, Bahamas, pp. 3453-3458, December 2004.
    • (2004) Proc. the 43rd IEEE Conference on Decision and Control , pp. 3453-3458
    • Huang, M.1    Caines, P.E.2    Malhamé, R.P.3
  • 15
    • 84885764330 scopus 로고    scopus 로고
    • Nash equilibria for large-population linear stochastic systems of weakly coupled agents
    • E.K. Boukas and R.P. Malhamé Eds, Chapter 9, pp, Springer, New York
    • M. Huang, R. P. Malhamé, and P. E. Caines. Nash equilibria for large-population linear stochastic systems of weakly coupled agents. In Analysis, Control and Optimization of Complex Dynamic Systems, E.K. Boukas and R.P. Malhamé Eds., Chapter 9, pp. 215-252, Springer, New York, 2005.
    • (2005) Analysis, Control and Optimization of Complex Dynamic Systems , pp. 215-252
    • Huang, M.1    Malhamé, R.P.2    Caines, P.E.3
  • 16
    • 33847188866 scopus 로고    scopus 로고
    • Nash strategies and adaptation for decentralized games involving weakly-coupled agents
    • Seville, Spain, pp, Dec
    • M. Huang, R. P. Malhamé, and P.E. Caines. Nash strategies and adaptation for decentralized games involving weakly-coupled agents. Proc. 44th IEEE CDC-ECC05 Conf., Seville, Spain, pp. 1050-1055, Dec. 2005.
    • (2005) Proc. 44th IEEE CDC-ECC05 Conf , pp. 1050-1055
    • Huang, M.1    Malhamé, R.P.2    Caines, P.E.3
  • 19
    • 0010914615 scopus 로고
    • A calss of Markov processes associated with nonlinear parabolic equations
    • H. P. McKean Jr. A calss of Markov processes associated with nonlinear parabolic equations. Proc. Nat. Acad. Sci., USA, pp. 1907-1911, vol. 56, 1966.
    • (1966) Proc. Nat. Acad. Sci., USA , vol.56 , pp. 1907-1911
    • McKean Jr., H.P.1
  • 20
    • 0011547663 scopus 로고
    • Self-enforcing collusion in large dynamic markets
    • V. E. Lambson. Self-enforcing collusion in large dynamic markets. J. Econ. Theory, vol. 34, pp. 282-291, 1984.
    • (1984) J. Econ. Theory , vol.34 , pp. 282-291
    • Lambson, V.E.1
  • 22
    • 0035441040 scopus 로고    scopus 로고
    • Optimality models in behavioral biology
    • J. M. McNamara, A. I. Houston, and E. J. Collins. Optimality models in behavioral biology. SIAM Review, vol. 43, no. 3, pp. 413-466, 2001.
    • (2001) SIAM Review , vol.43 , Issue.3 , pp. 413-466
    • McNamara, J.M.1    Houston, A.I.2    Collins, E.J.3
  • 23
    • 0026238747 scopus 로고
    • Iterative computation of noncooperative equilibria in nonzero-sum differential games with weakly coupled players
    • Oct
    • R. Srikant and T. Basar. Iterative computation of noncooperative equilibria in nonzero-sum differential games with weakly coupled players. J. Optim. Th. Appl., vol. 71, no. 1, pp. 137-168, Oct. 1991.
    • (1991) J. Optim. Th. Appl , vol.71 , Issue.1 , pp. 137-168
    • Srikant, R.1    Basar, T.2


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