메뉴 건너뛰기




Volumn 5, Issue 2, 2009, Pages 363-379

Mixed behavior network equilibria and quasi-variational inequalities

Author keywords

Generalized Nash equilibrium; Quasi variational inequality; Wardrop equilibrium

Indexed keywords


EID: 67649479602     PISSN: 15475816     EISSN: 1553166X     Source Type: Journal    
DOI: 10.3934/jimo.2009.5.363     Document Type: Conference Paper
Times cited : (15)

References (49)
  • 3
    • 60749089561 scopus 로고
    • Continuous lags and the stability of market equilibrium
    • M. J. Beckman and J. P. Wallace, Continuous lags and the stability of market equilibrium, Economica, New Series, 36 (1969), 58-68.
    • (1969) Economica, New Series , vol.36 , pp. 58-68
    • Beckman, M.J.1    Wallace, J.P.2
  • 4
    • 0038743105 scopus 로고    scopus 로고
    • Quasi-Variational inequality formulation of the multiclass dynamic traffic assignment problem
    • M. Bliemer and P. Bovy, Quasi-Variational inequality formulation of the multiclass dynamic traffic assignment problem, Transportation Res. Part B, 37 (2003), 501-519.
    • (2003) Transportation Res , vol.37 , Issue.PART B , pp. 501-519
    • Bliemer, M.1    Bovy, P.2
  • 6
    • 4844224100 scopus 로고    scopus 로고
    • A theory of discretization for nonlinear evolution inequalities applied to parabolic Signorini problems
    • C. Carstensen and J. Gwinner, A theory of discretization for nonlinear evolution inequalities applied to parabolic Signorini problems, Ann. Mat. Pura Appl., 177 (1999), 363-394.
    • (1999) Ann. Mat. Pura Appl , vol.177 , pp. 363-394
    • Carstensen, C.1    Gwinner, J.2
  • 8
    • 0014491807 scopus 로고
    • The traffic assignment problem for a general network
    • S. Dafermos and F. T. Sparrow, The traffic assignment problem for a general network, J. Res. Nat. Bur. Standards Sect. B, 73 B (1969), 91-118.
    • (1969) J. Res. Nat. Bur. Standards Sect. B , vol.73 , Issue.B , pp. 91-118
    • Dafermos, S.1    Sparrow, F.T.2
  • 9
    • 0020097715 scopus 로고
    • The general multimodal network equilibrium problem with elastic demand
    • S. Dafermos, The general multimodal network equilibrium problem with elastic demand, Networks, 12 (1982), 57-72.
    • (1982) Networks , vol.12 , pp. 57-72
    • Dafermos, S.1
  • 10
    • 29144469348 scopus 로고    scopus 로고
    • Projected dynamical systems and evolutionary variaitonal inequalities via Hilbert spaces with applicaitons
    • M. G. Cojocaru, P. Daniele and A. Nagurney, Projected dynamical systems and evolutionary variaitonal inequalities via Hilbert spaces with applicaitons, J. Optim. Theory Appl., 127 (2005), 549-563.
    • (2005) J. Optim. Theory Appl , vol.127 , pp. 549-563
    • Cojocaru, M.G.1    Daniele, P.2    Nagurney, A.3
  • 12
    • 84872628966 scopus 로고    scopus 로고
    • Competitive financial equilibrium problems with policy interventions
    • P. Daniele, S. Giuffrè and S. Pia, Competitive financial equilibrium problems with policy interventions, J. Ind. Manag. Optim., 1 (2005), 39-52.
    • (2005) J. Ind. Manag. Optim , vol.1 , pp. 39-52
    • Daniele, P.1    Giuffrè, S.2    Pia, S.3
  • 14
    • 28044443704 scopus 로고    scopus 로고
    • P. Daniele, F. Giannessi and A. Maugeri Eds, Kluwer Academic Publishers
    • P. Daniele, F. Giannessi and A. Maugeri (Eds.), "Equilibrium Problems and Variational Models," Kluwer Academic Publishers, 2003.
    • (2003) Equilibrium Problems and Variational Models
  • 15
    • 0038566257 scopus 로고    scopus 로고
    • Existence of solutions for a time-dependent quasi-variational inequality
    • M. De Luca, Existence of solutions for a time-dependent quasi-variational inequality, Rend. Circ. Mat. Palermo (2) Suppl., 48 (1997), 101-106.
    • (1997) Rend. Circ. Mat. Palermo (2) Suppl , vol.48 , pp. 101-106
    • De Luca, M.1
  • 19
    • 33847081240 scopus 로고    scopus 로고
    • On generalized Nash games and variational inequalities
    • F. Facchinei, A. Fisher and V. Piccialli, On generalized Nash games and variational inequalities, Oper. Res. Lett., 35 (2007), 159-164.
    • (2007) Oper. Res. Lett , vol.35 , pp. 159-164
    • Facchinei, F.1    Fisher, A.2    Piccialli, V.3
  • 21
    • 0027149988 scopus 로고
    • A variational inequality formulation of the dynamic network user equilibrium problem
    • T. L. Friesz, D. Bernstein, T. E. Smith, R. L. Tobin and B. W. Wie, A variational inequality formulation of the dynamic network user equilibrium problem, Oper. Res., 41 (1993), 179-191.
    • (1993) Oper. Res , vol.41 , pp. 179-191
    • Friesz, T.L.1    Bernstein, D.2    Smith, T.E.3    Tobin, R.L.4    Wie, B.W.5
  • 22
    • 34848897416 scopus 로고    scopus 로고
    • A class of gap functions for quasi-variational inequality problems
    • M. Fukushima, A class of gap functions for quasi-variational inequality problems, J. Ind. Manag. Optim., 3 (2007), 165-171.
    • (2007) J. Ind. Manag. Optim , vol.3 , pp. 165-171
    • Fukushima, M.1
  • 23
    • 0007037643 scopus 로고
    • A variational inequality approach for the determination of oligopolistic market equilibrium
    • P. T. Harker, A variational inequality approach for the determination of oligopolistic market equilibrium, Math. Programming, 30 (1983), 105-111.
    • (1983) Math. Programming , vol.30 , pp. 105-111
    • Harker, P.T.1
  • 24
    • 0023961072 scopus 로고
    • Multiple equilibrium behaviors on networks
    • P. T. Harker, Multiple equilibrium behaviors on networks, Transportation Sci., 22 (1988), 39-46.
    • (1988) Transportation Sci , vol.22 , pp. 39-46
    • Harker, P.T.1
  • 25
    • 0026417165 scopus 로고
    • Generalized Nash games and quasi-variational inequalities
    • P. T. Harker, Generalized Nash games and quasi-variational inequalities, European J. Oper. Res., 54 (1991), 81-94.
    • (1991) European J. Oper. Res , vol.54 , pp. 81-94
    • Harker, P.T.1
  • 26
    • 0022131762 scopus 로고
    • On the relationship between Nash-Cournot and Wardrop equilibria
    • A. Haurie and P. Marcotte, On the relationship between Nash-Cournot and Wardrop equilibria, Networks, 15 (1985), 295-308.
    • (1985) Networks , vol.15 , pp. 295-308
    • Haurie, A.1    Marcotte, P.2
  • 27
    • 56649109227 scopus 로고    scopus 로고
    • Variational inequalities and a transport planning for an elastic and continuum model
    • G. Idone and A. Maugeri, Variational inequalities and a transport planning for an elastic and continuum model, J. Ind. Manag. Optim., 1 (2005), 81-86.
    • (2005) J. Ind. Manag. Optim , vol.1 , pp. 81-86
    • Idone, G.1    Maugeri, A.2
  • 30
    • 0000915170 scopus 로고
    • Applications of Khobotov's algorithm to variational inequalities and network equilibrium problems
    • P. Marcotte, Applications of Khobotov's algorithm to variational inequalities and network equilibrium problems, Inform. Systems Oper. Res., 29 (1991), 258-270.
    • (1991) Inform. Systems Oper. Res , vol.29 , pp. 258-270
    • Marcotte, P.1
  • 31
    • 60749121501 scopus 로고    scopus 로고
    • Global Lipschitz continuity of solutions to parameterized variational inequalities
    • A. Maugeri and L. Scrimali, Global Lipschitz continuity of solutions to parameterized variational inequalities, Boll. Unione Mat. Ital., 2 (2009), 45-69.
    • (2009) Boll. Unione Mat. Ital , vol.2 , pp. 45-69
    • Maugeri, A.1    Scrimali, L.2
  • 32
    • 0010174209 scopus 로고    scopus 로고
    • A flexible form of Wardrop's principle for traffic equilibria with side constraints
    • A. Maugeri, W. Oettli and D. Schläger, A flexible form of Wardrop's principle for traffic equilibria with side constraints, Rend. Circ. Mat. Palermo (2) Suppl., 48 (1997), 185-193.
    • (1997) Rend. Circ. Mat. Palermo (2) Suppl , vol.48 , pp. 185-193
    • Maugeri, A.1    Oettli, W.2    Schläger, D.3
  • 33
    • 56649083482 scopus 로고    scopus 로고
    • Dynamic oligopolistic competition on an electric power network with ramping costs and joint sales constraints
    • R. Mookherjee, B. F. Hobbs, T. L. Friesz and M. A. Rigdon, Dynamic oligopolistic competition on an electric power network with ramping costs and joint sales constraints, J. Ind. Manag. Optim., 4 (2008), 425-452.
    • (2008) J. Ind. Manag. Optim , vol.4 , pp. 425-452
    • Mookherjee, R.1    Hobbs, B.F.2    Friesz, T.L.3    Rigdon, M.A.4
  • 35
    • 0002021736 scopus 로고
    • Equilibrium points in n-person games
    • J. F. Nash, Equilibrium points in n-person games, Proc. Natl. Acad. Sci., 36 (1950), 48-49.
    • (1950) Proc. Natl. Acad. Sci , vol.36 , pp. 48-49
    • Nash, J.F.1
  • 36
    • 0001730497 scopus 로고
    • Non-cooperative games
    • J. F. Nash, Non-cooperative games, Ann. of Math., 54 (1951), 286-295.
    • (1951) Ann. of Math , vol.54 , pp. 286-295
    • Nash, J.F.1
  • 39
    • 20444502586 scopus 로고    scopus 로고
    • Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games
    • J-S. Pang and M. Fukushima, Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games, Comput. Manag. Sci., 2 (2005), 21-56.
    • (2005) Comput. Manag. Sci , vol.2 , pp. 21-56
    • Pang, J.-S.1    Fukushima, M.2
  • 40
    • 3543089237 scopus 로고    scopus 로고
    • Time-dependent variational inequalities and applications to equilibrium problems
    • F. Raciti and L. Scrimali, Time-dependent variational inequalities and applications to equilibrium problems, J. Global Optim., 28 (2004), 387-400.
    • (2004) J. Global Optim , vol.28 , pp. 387-400
    • Raciti, F.1    Scrimali, L.2
  • 42
    • 6044220194 scopus 로고    scopus 로고
    • Quasi-variational inequalities in transportation networks
    • L. Scrimali, Quasi-variational inequalities in transportation networks, Math. Models Methods in Appl. Sci., 14 (2004), 1541-1560.
    • (2004) Math. Models Methods in Appl. Sci , vol.14 , pp. 1541-1560
    • Scrimali, L.1
  • 43
    • 44349171846 scopus 로고    scopus 로고
    • The financial equilibrium problem with implicit budget constraints
    • L. Scrimali, The financial equilibrium problem with implicit budget constraints, Cent. Eur. J. Oper. Res., 16 (2008), 191-203.
    • (2008) Cent. Eur. J. Oper. Res , vol.16 , pp. 191-203
    • Scrimali, L.1
  • 44
    • 0018656183 scopus 로고
    • The existence, uniqueness and stability of traffic equilibrium
    • M. J. Smith, The existence, uniqueness and stability of traffic equilibrium, Transp. Res., 138 (1979), 295-304.
    • (1979) Transp. Res , vol.138 , pp. 295-304
    • Smith, M.J.1
  • 46
    • 84985367878 scopus 로고
    • Quasi-variational inequality in topological linear locally convex Hausdorff spaces
    • N. X. Tan, Quasi-variational inequality in topological linear locally convex Hausdorff spaces, Math. Nachr., 122 (1985), 231-245.
    • (1985) Math. Nachr , vol.122 , pp. 231-245
    • Tan, N.X.1
  • 48
    • 0005745511 scopus 로고
    • A differential game approach to the dynamic mixed behaviour traffic network equilibrium problem
    • B. W. Wie, A differential game approach to the dynamic mixed behaviour traffic network equilibrium problem, European J. Oper. Res., 83 (1995), 117-136.
    • (1995) European J. Oper. Res , vol.83 , pp. 117-136
    • Wie, B.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.