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Volumn 44, Issue 1 PART 1, 2011, Pages 3222-3227

Risk-sensitive mean-field stochastic differential games

Author keywords

Mean field analysis; Risk sensitive games; Stochastic differential games

Indexed keywords

COMPUTATIONAL COMPLEXITY; COST FUNCTIONS; MEAN FIELD THEORY; RISK ANALYSIS; RISK ASSESSMENT; RISK PERCEPTION; STOCHASTIC SYSTEMS; VLASOV EQUATION;

EID: 84866747480     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20110828-6-IT-1002.02247     Document Type: Conference Paper
Times cited : (49)

References (19)
  • 1
    • 62949217777 scopus 로고    scopus 로고
    • Oblivious equilibrium for large-scale stochastic games with unbounded costs
    • Cancun, Mexico
    • Adlakha, S., Johari, R., Weintraub, G., and Goldsmith, A. (2008). Oblivious equilibrium for large-scale stochastic games with unbounded costs. Proc. IEEE CDC, Cancun, Mexico, 5531-5538.
    • (2008) Proc. IEEE CDC , pp. 5531-5538
    • Adlakha, S.1    Johari, R.2    Weintraub, G.3    Goldsmith, A.4
  • 2
    • 0033095698 scopus 로고    scopus 로고
    • Nash equilibria of risk-sensitive nonlinear stochas- tic differential games
    • Başar, T. (1999). Nash equilibria of risk-sensitive nonlinear stochas- tic differential games. J. of Optimization Theory and Applica- tions, 100(3), 479-498.
    • (1999) J. of Optimization Theory and Applica- Tions , vol.100 , Issue.3 , pp. 479-498
    • Başar, T.1
  • 3
    • 0021455757 scopus 로고
    • Optimal control of partially observable stochastic systems with an exponential-of-integral performance index
    • Bensoussan, A. and van Schuppen, J. (1985). Optimal control of partially observable stochastic systems with an exponential-of-integral performance index. SIAM J. Control and Optimization, 23, 599-613.
    • (1985) SIAM J. Control and Optimization , vol.23 , pp. 599-613
    • Bensoussan, A.1    Van Schuppen, J.2
  • 4
    • 38249014213 scopus 로고
    • Anonymous sequential games with aggregate uncertainty
    • Bergin, J. and Bernhardt, D. (1992). Anonymous sequential games with aggregate uncertainty. J. Mathematical Economics, 21, 543-562.
    • (1992) J. Mathematical Economics , vol.21 , pp. 543-562
    • Bergin, J.1    Bernhardt, D.2
  • 5
    • 84860826364 scopus 로고    scopus 로고
    • Springer: Paris-Princeton Lectures on Mathematical Finance, Eds. René Carmona, Nizar Touzi
    • Guéant, O., Lasry, J.M., and Lions, P.L. (2010). Mean field games and applications. Springer: Paris-Princeton Lectures on Mathematical Finance, Eds. René Carmona, Nizar Touzi.
    • (2010) Mean Field Games and Applications
    • Guéant, O.1    Lasry, J.M.2    Lions, P.L.3
  • 6
    • 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., and Rolan P., M. (2007). Large-population cost-coupled LQG problems with nonuniform agents: Individual- mass behavior and decentralized ε-Nash equilibria. IEEE Trans. Automat. Control, 52, 1560-1571.
    • (2007) IEEE Trans. Automat. Control , vol.52 , pp. 1560-1571
    • Huang, M.1    Caines, P.E.2    Rolan, P.M.3
  • 7
    • 1542359162 scopus 로고    scopus 로고
    • Individual and mass behaviour in large population stochastic wireless power control problems : Centralized and Nash equilibrium solution
    • HA, USA
    • Huang, M.Y., Caines, P.E., and Malhamé, R.P. (2003). Individual and mass behaviour in large population stochastic wireless power control problems : Centralized and Nash equilibrium solution. IEEE Conference on Decision and Control, HA, USA, 98 - 103.
    • (2003) IEEE Conference on Decision and Control , pp. 98-103
    • Huang, M.Y.1    Caines, P.E.2    Malhamé, R.P.3
  • 8
    • 0015615984 scopus 로고
    • Optimal stochastic linear systems with exponential performance criteria and their relation to deterministic differential games
    • Jacobson, D. (1973). Optimal stochastic linear systems with exponential performance criteria and their relation to deterministic differential games. IEEE Trans. Automat. Contr., 18(2), 124-131.
    • (1973) IEEE Trans. Automat. Contr. , vol.18 , Issue.2 , pp. 124-131
    • Jacobson, D.1
  • 10
    • 70449103246 scopus 로고    scopus 로고
    • Macroscopic limits for stochastic partial differential equations of McKean-Vlasov type
    • Kotolenez, P. and Kurtz, T. (2010). Macroscopic limits for stochastic partial differential equations of McKean-Vlasov type. Probability theory and related fields, 146(1), 189-222.
    • (2010) Probability Theory and Related Fields , vol.146 , Issue.1 , pp. 189-222
    • Kotolenez, P.1    Kurtz, T.2
  • 11
    • 34047127341 scopus 로고    scopus 로고
    • Mean field games
    • Lasry, J. and Lions, P. (2007). Mean field games. Japan. J. Math., 2, 229-260.
    • (2007) Japan. J. Math. , vol.2 , pp. 229-260
    • Lasry, J.1    Lions, P.2
  • 12
    • 0030242426 scopus 로고    scopus 로고
    • Model simplification and optimal control of stochastic singularly perturbed systems under exponentiated quadratic cost
    • Pan, Z. and Başar, T. (1996). Model simplification and optimal control of stochastic singularly perturbed systems under exponentiated quadratic cost. SIAM J. Control and Optimization, 34(5), 1734-1766.
    • (1996) SIAM J. Control and Optimization , vol.34 , Issue.5 , pp. 1734-1766
    • Pan, Z.1    Başar, T.2
  • 13
    • 32644476285 scopus 로고    scopus 로고
    • The propagation of chaos for interacting individuals in a large population
    • Tanabe, Y. (2006). The propagation of chaos for interacting individuals in a large population. Mathematical Social Sciences, 51, 125-152.
    • (2006) Mathematical Social Sciences , vol.51 , pp. 125-152
    • Tanabe, Y.1
  • 14
    • 80053146604 scopus 로고    scopus 로고
    • Mean field stochastic games: Convergence, q/h- learning and optimality
    • San Francisco, California, USA
    • Tembine, H. (2011). Mean field stochastic games: Convergence, q/h- learning and optimality. In Proc. American Control Conference (ACC), San Francisco, California, USA.
    • (2011) Proc. American Control Conference (ACC)
    • Tembine, H.1
  • 18
    • 0001667951 scopus 로고
    • Risk-sensitive linear quadratic gaussian control
    • Whittle, P. (1981). Risk-sensitive linear quadratic gaussian control. Advances in Applied Probability, 13, 764-777.
    • (1981) Advances in Applied Probability , vol.13 , pp. 764-777
    • Whittle, P.1


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