메뉴 건너뛰기




Volumn 23, Issue 6, 2008, Pages 975-993

Optimization and dynamical systems algorithms for finding equilibria of stochastic games

Author keywords

Dynamical systems; Hybrid methods; Mathematical programs with equilibrium constraints; Nash equilibrium; Stochastic games

Indexed keywords

DYNAMIC PROGRAMMING; GAME THEORY; NONLINEAR PROGRAMMING; PILE FOUNDATIONS; SCHRODINGER EQUATION; STOCHASTIC PROGRAMMING; TELECOMMUNICATION NETWORKS;

EID: 54249161884     PISSN: 10556788     EISSN: 10294937     Source Type: Journal    
DOI: 10.1080/10556780802367239     Document Type: Article
Times cited : (3)

References (29)
  • 1
    • 27844590714 scopus 로고    scopus 로고
    • On using the elastic mode in nonlinear programming approaches to mathematical programs with complementarity constraints
    • M. Anitescu, On using the elastic mode in nonlinear programming approaches to mathematical programs with complementarity constraints, SIAM J. Optim. 15(4) (2005), pp. 1203-1236.
    • (2005) SIAM J. Optim , vol.15 , Issue.4 , pp. 1203-1236
    • Anitescu, M.1
  • 3
    • 36148998705 scopus 로고    scopus 로고
    • An exact primal-dual penalty method apprvach to warmstarting interior-point methods for linear programming
    • H.Y.Bensan and D.F. Shanno, An exact primal-dual penalty method apprvach to warmstarting interior-point methods for linear programming, Comput. Optim. Appl. 38(3) (2007), pp. 371-399.
    • (2007) Comput. Optim. Appl , vol.38 , Issue.3 , pp. 371-399
    • Bensan, H.Y.1    Shanno, D.F.2
  • 4
    • 42149170567 scopus 로고    scopus 로고
    • Interior-point methods for nonconvex nonlinear programming: Regulanzation and Warmstarts
    • _, Interior-point methods for nonconvex nonlinear programming: regulanzation and Warmstarts, Comput. Optim. Appl. 40(2) (2008), pp. 143-189.
    • (2008) Comput. Optim. Appl , vol.40 , Issue.2 , pp. 143-189
    • Bensan, H.Y.1    Shanno, D.F.2
  • 5
    • 33745158669 scopus 로고    scopus 로고
    • Interior-point algorithms, penalty methods and equilibrium problems
    • H.Y. Benson, A. Sen, D.F. Shanno, and R.J. Vanderbei, Interior-point algorithms, penalty methods and equilibrium problems, Comput. Optim. Appl. 34(2) (2006), pp. 155-182.
    • (2006) Comput. Optim. Appl , vol.34 , Issue.2 , pp. 155-182
    • Benson, H.Y.1    Sen, A.2    Shanno, D.F.3    Vanderbei, R.J.4
  • 7
    • 0006424477 scopus 로고    scopus 로고
    • Interfaces to path 3.0: Design, implementation and usage
    • M.C. Ferris and Todd S. Munson, Interfaces to path 3.0: design, implementation and usage, Comput. Appl. Optim. 12(1-3) (1999), pp. 207-227.
    • (1999) Comput. Appl. Optim , vol.12 , Issue.1-3 , pp. 207-227
    • Ferris, M.C.1    Munson, T.S.2
  • 9
    • 0037288670 scopus 로고    scopus 로고
    • On the global convergence ofafilter-SQP algorithm
    • R. Fletcher, S. Leyffer, and P.L. Toint, On the global convergence ofafilter-SQP algorithm, SIAM J. Optim. 13(1) (2002), pp. 44-59.
    • (2002) SIAM J. Optim , vol.13 , Issue.1 , pp. 44-59
    • Fletcher, R.1    Leyffer, S.2    Toint, P.L.3
  • 12
    • 4344678574 scopus 로고    scopus 로고
    • Stationary equilibria in stochastic games: Structure, selection and computation
    • P.J.J. Herings and R.J.A.P Peeters, Stationary equilibria in stochastic games: structure, selection and computation, J. Econ. Theor. 118(1) (2004), pp. 32-60.
    • (2004) J. Econ. Theor , vol.118 , Issue.1 , pp. 32-60
    • Herings, P.J.J.1    Peeters, R.J.A.P.2
  • 13
    • 0004251759 scopus 로고
    • John Wiley and Sons, Inc, New York
    • R. Isaacs, Differential Games, John Wiley and Sons, Inc., New York, 1965.
    • (1965) Differential Games
    • Isaacs, R.1
  • 14
    • 0028479748 scopus 로고
    • Computational experience with a globally convergent primal-dual predictor-corrector algorithm for linear progamming
    • I.J. Lustig, R.E. Marsten, and D.F. Shanno, Computational experience with a globally convergent primal-dual predictor-corrector algorithm for linear progamming, Math. Program. 66(1-3) (1994), pp. 123-135.
    • (1994) Math. Program , vol.66 , Issue.1-3 , pp. 123-135
    • Lustig, I.J.1    Marsten, R.E.2    Shanno, D.F.3
  • 17
    • 0035561971 scopus 로고    scopus 로고
    • An elementary introduction to auctions
    • M.H. Rothkopf and S. Park, An elementary introduction to auctions, Interfaces 31(6) (2001), pp. 83-97.
    • (2001) Interfaces , vol.31 , Issue.6 , pp. 83-97
    • Rothkopf, M.H.1    Park, S.2
  • 18
    • 0035603908 scopus 로고    scopus 로고
    • Convergence properties of a regularization scheme for mathematical programs with equilibrium constraints
    • S. Scholtes, Convergence properties of a regularization scheme for mathematical programs with equilibrium constraints, SIAM J. Optim. 11(4) (2001), pp. 918-936.
    • (2001) SIAM J. Optim , vol.11 , Issue.4 , pp. 918-936
    • Scholtes, S.1
  • 20
    • 0039910651 scopus 로고    scopus 로고
    • An infeasible interior-point algorithmfor solving mixed-complementarity problems
    • State of the Art, M.C. Ferris and J.S. Pang, eds, SIAM, Philadelphia
    • D.F. Shanno and E.M. Simantiraki, An infeasible interior-point algorithmfor solving mixed-complementarity problems, in Complementarity and Variational Problems, State of the Art, M.C. Ferris and J.S. Pang, eds., SIAM, Philadelphia, 1997, pp. 386-404.
    • (1997) Complementarity and Variational Problems , pp. 386-404
    • Shanno, D.F.1    Simantiraki, E.M.2
  • 22
    • 0001335940 scopus 로고
    • A theory of dynamic oligopoly I: Overview with quantity competition and large fixed costs
    • J. Tirole and E. Maskin, A theory of dynamic oligopoly I: overview with quantity competition and large fixed costs, Econometrica 56(3) (1988), pp. 549-569.
    • (1988) Econometrica , vol.56 , Issue.3 , pp. 549-569
    • Tirole, J.1    Maskin, E.2
  • 23
    • 0001335940 scopus 로고
    • A theory of dynamic oligopoly II: Price competition, kinked demand curves and edgeworth cycles
    • _, A theory of dynamic oligopoly II: price competition, kinked demand curves and edgeworth cycles, Econometrica 56(3) (1988), pp. 571-599.
    • (1988) Econometrica , vol.56 , Issue.3 , pp. 571-599
    • Tirole, J.1    Maskin, E.2
  • 26
    • 0000287204 scopus 로고    scopus 로고
    • An interior-point algorithm fornonconvex nonlinear-programming
    • R.J. Vanderbei and D.F. Shanno, An interior-point algorithm fornonconvex nonlinear-programming, Comput. Optim. Appl. 13(1-3) (1999), pp. 231-252.
    • (1999) Comput. Optim. Appl , vol.13 , Issue.1-3 , pp. 231-252
    • Vanderbei, R.J.1    Shanno, D.F.2
  • 27
    • 0023415939 scopus 로고
    • Algorithm 652: HOMPACK: a suite of codes for globally convergent homotopy algorithms
    • L.T. Watson, S.C. Billups, and A.P. Morgan, Algorithm 652: HOMPACK: a suite of codes for globally convergent homotopy algorithms, ACM Trans. Math. Softw. 13(3) (1987), pp. 281-310.
    • (1987) ACM Trans. Math. Softw , vol.13 , Issue.3 , pp. 281-310
    • Watson, L.T.1    Billups, S.C.2    Morgan, A.P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.