메뉴 건너뛰기




Volumn 32, Issue 1, 2007, Pages 32-50

Variational inequalities and economic equilibrium

Author keywords

Complementarity problems; Equilibrium computations; Equilibrium constraints; Functional variational inequalities; Walrasian economic equilibrium

Indexed keywords

COMPLEMENTARITY PROBLEMS; EQUILIBRIUM COMPUTATIONS; EQUILIBRIUM CONSTRAINTS; FUNCTIONAL VARIATIONAL INEQUALITIES; WALRASIAN ECONOMIC EQUILIBRIUM;

EID: 33847290904     PISSN: 0364765X     EISSN: 15265471     Source Type: Journal    
DOI: 10.1287/moor.1060.0233     Document Type: Article
Times cited : (74)

References (57)
  • 1
    • 0002631476 scopus 로고
    • On convergence of the PIES algorithm for computing equilibria
    • Ahn, B. H., W. W. W. Hogan. 1982. On convergence of the PIES algorithm for computing equilibria. Oper. Res. 30 281-300.
    • (1982) Oper. Res , vol.30 , pp. 281-300
    • Ahn, B.H.1    Hogan, W.W.W.2
  • 2
    • 0001436273 scopus 로고
    • Existence of an equilibrium for a competitive economy
    • Arrow, K. J., G. Debreu. 1954. Existence of an equilibrium for a competitive economy. Econometrica 22 265-290.
    • (1954) Econometrica , vol.22 , pp. 265-290
    • Arrow, K.J.1    Debreu, G.2
  • 3
    • 0034345443 scopus 로고    scopus 로고
    • Lagrangian duality and related multiplier methods for variational inequality problems
    • Auslender, A., M. Teboulle. 2000. Lagrangian duality and related multiplier methods for variational inequality problems. SIAM J. Optim. 10 1097-1115.
    • (2000) SIAM J. Optim , vol.10 , pp. 1097-1115
    • Auslender, A.1    Teboulle, M.2
  • 4
    • 0002434986 scopus 로고    scopus 로고
    • A logarithmic-quadratic proximal method for variational inequalities
    • Auslender, A., M. Teboulle, S. Ben-Tiba. 1999. A logarithmic-quadratic proximal method for variational inequalities. J. Comput. Optim. Appl. 645-668.
    • (1999) J. Comput. Optim. Appl , pp. 645-668
    • Auslender, A.1    Teboulle, M.2    Ben-Tiba, S.3
  • 5
    • 0000892796 scopus 로고
    • Equations et inéquations non linéaires dans les espaces vectoriels en dualité
    • Brézis, H. 1968. Equations et inéquations non linéaires dans les espaces vectoriels en dualité. Ann. Institut Fourier 18 115-175.
    • (1968) Ann. Institut Fourier , vol.18 , pp. 115-175
    • Brézis, H.1
  • 6
    • 0001968839 scopus 로고
    • Problèmes unilatéraux
    • Brézis, H. 1972. Problèmes unilatéraux. J. Math. Pures Appl. 51 1-168.
    • (1972) J. Math. Pures Appl , vol.51 , pp. 1-168
    • Brézis, H.1
  • 7
    • 0000204756 scopus 로고
    • On the unification of the calculus of variations and the theory of monotone nonlinear operators in Banach spaces
    • Browder, F. E. 1966. On the unification of the calculus of variations and the theory of monotone nonlinear operators in Banach spaces. Proc. Natl. Acad. Sci. 56 419-425.
    • (1966) Proc. Natl. Acad. Sci , vol.56 , pp. 419-425
    • Browder, F.E.1
  • 8
    • 0000636850 scopus 로고
    • Existence and approximation of solutions of nonlinear variational inequalities
    • Browder, F. E. 1966. Existence and approximation of solutions of nonlinear variational inequalities. Proc. Natl. Acad. Sci. 56 1080-1086.
    • (1966) Proc. Natl. Acad. Sci , vol.56 , pp. 1080-1086
    • Browder, F.E.1
  • 9
    • 34250511959 scopus 로고
    • Nonlinear maximal monotone operators in Banach space
    • Browder, F. E. 1968. Nonlinear maximal monotone operators in Banach space. Math. Ann. 175 89-113.
    • (1968) Math. Ann , vol.175 , pp. 89-113
    • Browder, F.E.1
  • 10
    • 0011625057 scopus 로고
    • Nonlinear variational inequalities and maximal monotone mappings in Banach spaces
    • Browder, F. E. 1969. Nonlinear variational inequalities and maximal monotone mappings in Banach spaces. Math. Ann. 183 213-231.
    • (1969) Math. Ann , vol.183 , pp. 213-231
    • Browder, F.E.1
  • 11
    • 0030375494 scopus 로고    scopus 로고
    • Computing equilibria when asset markets are incomplete
    • Brown, D. J., P. M. DeMarzo, C. Eaves. 1996. Computing equilibria when asset markets are incomplete. Econometrica 64 1-27.
    • (1996) Econometrica , vol.64 , pp. 1-27
    • Brown, D.J.1    DeMarzo, P.M.2    Eaves, C.3
  • 12
    • 0031496462 scopus 로고    scopus 로고
    • Convergence rates in forward-backward splitting
    • Chen, G. H.-G., R. T. Rockafellar. 1997. Convergence rates in forward-backward splitting. SIAM J. Optim. 7 421-444.
    • (1997) SIAM J. Optim , vol.7 , pp. 421-444
    • Chen, G.H.-G.1    Rockafellar, R.T.2
  • 15
    • 0000249741 scopus 로고
    • Exchange price equilibria and variational inequalities
    • Dafermos, S. 1990. Exchange price equilibria and variational inequalities. Math. Programming 46 391-402.
    • (1990) Math. Programming , vol.46 , pp. 391-402
    • Dafermos, S.1
  • 17
    • 33847272583 scopus 로고
    • New concepts and techniques for equilibrium analysis
    • Chap. 10, Econometric Soc. Monographs
    • Debreu, G. 1983. New concepts and techniques for equilibrium analysis. Chap. 10, Mathematical Economics. Econometric Soc. Monographs, No. 4.
    • (1983) Mathematical Economics , Issue.4
    • Debreu, G.1
  • 18
    • 0036348358 scopus 로고    scopus 로고
    • Ample parameterization of variational inclusions
    • Dontchev, A. D., R. T. Rockafellar. 2002. Ample parameterization of variational inclusions. SIAM J. Optim. 12 170-187.
    • (2002) SIAM J. Optim , vol.12 , pp. 170-187
    • Dontchev, A.D.1    Rockafellar, R.T.2
  • 19
    • 0033193676 scopus 로고    scopus 로고
    • General equilibrium theory and homotopy methods
    • Eaves, B. C., K. Schmedders. 1999. General equilibrium theory and homotopy methods. J. Econom. Dynam. Control 23 1249-1279.
    • (1999) J. Econom. Dynam. Control , vol.23 , pp. 1249-1279
    • Eaves, B.C.1    Schmedders, K.2
  • 20
    • 26844509991 scopus 로고    scopus 로고
    • Computing equilibria in general equilibrium models via interior point methods
    • Esteban-Bravo, M. 2004. Computing equilibria in general equilibrium models via interior point methods. Comput. Econom. 23 147-171.
    • (2004) Comput. Econom , vol.23 , pp. 147-171
    • Esteban-Bravo, M.1
  • 21
    • 12144283098 scopus 로고    scopus 로고
    • Finite-Dimensional Variational Inequalities and Complementarity Problems
    • Vols, Springer-Verlag, New York
    • Facchinei, F., J.-S. Pang. 2003. Finite-Dimensional Variational Inequalities and Complementarity Problems, Vols. I and II. Springer Series in Operations Research, Springer-Verlag, New York.
    • (2003) Springer Series in Operations Research , vol.I and II
    • Facchinei, F.1    Pang, J.-S.2
  • 22
    • 76549134853 scopus 로고    scopus 로고
    • Formulating and solving nonlinear programs as mixed complementary problems
    • V. H. Nguyen, J. J. Strodiot, P. Tossings, eds, Springer-Verlag
    • Ferris, M. C., K. Sinapiromsaran. 2000. Formulating and solving nonlinear programs as mixed complementary problems. V. H. Nguyen, J. J. Strodiot, P. Tossings, eds. Optimization. Lecture Notes in Economics and Mathematical Systems, Vol. 481. Springer-Verlag.
    • (2000) Optimization. Lecture Notes in Economics and Mathematical Systems , vol.481
    • Ferris, M.C.1    Sinapiromsaran, K.2
  • 23
    • 84896526684 scopus 로고    scopus 로고
    • Mathematical programming with equilibrium constraints: Automatic reformulation and solution via constrained optimization
    • T. J. Kehoe et al, eds, Cambridge University Press
    • Ferris, M. C., S. P. Dirkse, A. Meeraus. 2005. Mathematical programming with equilibrium constraints: Automatic reformulation and solution via constrained optimization. T. J. Kehoe et al., eds. Frontiers in Applied General Equilibrium Modeling. Cambridge University Press, 67-94.
    • (2005) Frontiers in Applied General Equilibrium Modeling , pp. 67-94
    • Ferris, M.C.1    Dirkse, S.P.2    Meeraus, A.3
  • 24
    • 33847326230 scopus 로고    scopus 로고
    • On irreducible economies
    • Florig, M. 2001. On irreducible economies. Ann. d'Économ. de Statist. 61 184-199.
    • (2001) Ann. d'Économ. de Statist , vol.61 , pp. 184-199
    • Florig, M.1
  • 25
    • 0038592493 scopus 로고    scopus 로고
    • Hierarchic competitive equilibria
    • Florig, M. 2001. Hierarchic competitive equilibria. J. Math. Econom. 35 515-546.
    • (2001) J. Math. Econom , vol.35 , pp. 515-546
    • Florig, M.1
  • 29
    • 0344704362 scopus 로고
    • Finite-dimensional variational inequalities and nonlinear complementarity problems: A survey of theory, algorithms and applications
    • Harker, P. T., J.-S. Pang. 1990. Finite-dimensional variational inequalities and nonlinear complementarity problems: A survey of theory, algorithms and applications. Math. Programming, Ser. B 48 161-220.
    • (1990) Math. Programming, Ser. B , vol.48 , pp. 161-220
    • Harker, P.T.1    Pang, J.-S.2
  • 30
    • 17744369541 scopus 로고    scopus 로고
    • A polynomial time algorithm for computing the Arrow-Debreu market equilibrium for linear utilities
    • Jain, K. 2004. A polynomial time algorithm for computing the Arrow-Debreu market equilibrium for linear utilities. Proc. 43rd Annual IEEE Sympos. Foundations of Comput. Sci., 286-294.
    • (2004) Proc. 43rd Annual IEEE Sympos. Foundations of Comput. Sci , pp. 286-294
    • Jain, K.1
  • 31
    • 38849149826 scopus 로고    scopus 로고
    • A variational inequality scheme for determining an economic equilibrium
    • F. Giannessi, A. Maugeri, eds, Kluwer
    • Jofre, A., R. T. Rockafellar, R. J-B. Wets. 2005. A variational inequality scheme for determining an economic equilibrium. F. Giannessi, A. Maugeri, eds. Variational Analysis and Applications. Kluwer,
    • (2005) Variational Analysis and Applications
    • Jofre, A.1    Rockafellar, R.T.2    Wets, R.J.-B.3
  • 32
    • 33847260201 scopus 로고    scopus 로고
    • Judd, K. L. 2005. Solving dynamical stochastic competitive general equilibrium models. Timothy J. Kehoe, T. N. Srinivasan, eds. Frontiers in Applied General Equilibrium Modeling. Cambridge University Press, Cambridge, UK, 45-66.
    • Judd, K. L. 2005. Solving dynamical stochastic competitive general equilibrium models. Timothy J. Kehoe, T. N. Srinivasan, eds. Frontiers in Applied General Equilibrium Modeling. Cambridge University Press, Cambridge, UK, 45-66.
  • 33
    • 84926111809 scopus 로고    scopus 로고
    • Computational methods for dynamic equilibria with heterogeneous agents
    • M. Dewatripont, L. Hansen, S. Turnovsky, eds, Cambridge University Press, Cambridge, UK
    • Judd, K. L., F. Kubler, K. Schmedders. 2003. Computational methods for dynamic equilibria with heterogeneous agents. M. Dewatripont, L. Hansen, S. Turnovsky, eds. Advances in Economics and Econometrics. Cambridge University Press, Cambridge, UK, 243-290.
    • (2003) Advances in Economics and Econometrics , pp. 243-290
    • Judd, K.L.1    Kubler, F.2    Schmedders, K.3
  • 36
    • 0040344531 scopus 로고
    • On the formulation and solution of economic equilibrium models
    • Manne, A. S. 1985. On the formulation and solution of economic equilibrium models. Math. Programming Stud. 23 1-20.
    • (1985) Math. Programming Stud , vol.23 , pp. 1-20
    • Manne, A.S.1
  • 38
    • 0001623920 scopus 로고
    • Computation of economic equilibria by a sequence of linear complementarity problems
    • Mathiesen, L. 1985. Computation of economic equilibria by a sequence of linear complementarity problems. Math. Programming Stud. 23 144-162.
    • (1985) Math. Programming Stud , vol.23 , pp. 144-162
    • Mathiesen, L.1
  • 39
    • 0022149015 scopus 로고
    • Computational experience in solving equilibrium problems by a sequence of linear complementarity problems
    • Mathiesen, L. 1985. Computational experience in solving equilibrium problems by a sequence of linear complementarity problems. Oper. Res. 33 1225-1250.
    • (1985) Oper. Res , vol.33 , pp. 1225-1250
    • Mathiesen, L.1
  • 40
    • 0023294225 scopus 로고
    • An algorithm based on a sequence of linear complementarity problems applied to a Walrasian equilibrium model: An example
    • Mathiesen, L. 1987. An algorithm based on a sequence of linear complementarity problems applied to a Walrasian equilibrium model: An example. Math. Programming 37 1-18.
    • (1987) Math. Programming , vol.37 , pp. 1-18
    • Mathiesen, L.1
  • 42
    • 33847326720 scopus 로고    scopus 로고
    • Nomia, O. 1996. Existence of Walras equilibria: The excess demand approach. Working paper (series) Cahiers Maison Sci. Econom., University of Paris, Paris, France.
    • Nomia, O. 1996. Existence of Walras equilibria: The excess demand approach. Working paper (series) Cahiers Maison Sci. Econom., University of Paris, Paris, France.
  • 45
    • 20444468651 scopus 로고    scopus 로고
    • Computing generalized Nash equilibria
    • To appear
    • Pang, J.-S. Computing generalized Nash equilibria. Math. Programming, Ser. A. To appear.
    • Math. Programming, Ser. A
    • Pang, J.-S.1
  • 46
    • 20444502586 scopus 로고    scopus 로고
    • Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games
    • Pang, J.-S., M. Fukushima. 2005. Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games. Comput. Management Sci. 1 21-56.
    • (2005) Comput. Management Sci , vol.1 , pp. 21-56
    • Pang, J.-S.1    Fukushima, M.2
  • 47
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Rockafellar, R. T. 1970. Convex Analysis. Princeton University Press, Princeton, NJ.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 48
    • 84966211401 scopus 로고
    • On the maximality of sums of nonlinear monotone operators
    • Rockafellar, R. T. 1970. On the maximality of sums of nonlinear monotone operators. Trans. Amer. Math. Soc. 149 75-88.
    • (1970) Trans. Amer. Math. Soc , vol.149 , pp. 75-88
    • Rockafellar, R.T.1
  • 50
    • 0016985417 scopus 로고
    • Monotone operators and the proximal point algorithm
    • Rockafellar, R. T. 1976. Monotone operators and the proximal point algorithm. SIAM J. Control Optim. 14 877-898.
    • (1976) SIAM J. Control Optim , vol.14 , pp. 877-898
    • Rockafellar, R.T.1
  • 51
    • 0003477772 scopus 로고
    • Originally published by Wiley, and republished by Athena Scientific, Nashua, NH
    • Rockafellar, R. T. 1998. Network Flows and Monotropic Optimization. Originally published by Wiley 1983, and republished by Athena Scientific, Nashua, NH.
    • (1983) Network Flows and Monotropic Optimization
    • Rockafellar, R.T.1
  • 53
    • 0001310049 scopus 로고
    • The approximate fixed points of a continuous mapping
    • Scarf, H. E. 1967. The approximate fixed points of a continuous mapping. SIAM J. Appl. Math. 15 1328-1343.
    • (1967) SIAM J. Appl. Math , vol.15 , pp. 1328-1343
    • Scarf, H.E.1
  • 57
    • 27844437173 scopus 로고    scopus 로고
    • A path to the Arrow-Debreu competitive market equilibrium
    • Forthcoming
    • Ye, Y.-Y. A path to the Arrow-Debreu competitive market equilibrium. Math. Programming. Forthcoming.
    • Math. Programming
    • Ye, Y.-Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.