Exchange price equilibria and variational inequalities (original) (raw)
Access this article
Subscribe and save
- Starting from 10 chapters or articles per month
- Access and download chapters and articles from more than 300k books and 2,500 journals
- Cancel anytime View plans
Buy Now
Price excludes VAT (USA)
Tax calculation will be finalised during checkout.
Instant access to the full article PDF.
References
- K.C. Border,Fixed Point Theorems with Applications to Economics and Game Theory (Cambridge University Press, Cambridge, 1985).
Google Scholar - S. Dafermos, “Traffic equilibrium and variational inequalities,”Transportation Science 14 (1980) 42–54.
Google Scholar - S. Dafermos, “The general multimodal traffic equilibrium problem,”Networks 12 (1982) 57–72.
Google Scholar - S. Dafermos, “An iterative scheme for variational inequalities,”Mathematical Programming 26 (1983) 40–47.
Google Scholar - S. Dafermos, “Sensitivity analysis for variational inequalities,”Mathematics of Operations Research 13 (1988) 421–434.
Google Scholar - S. Dafermos and A. Nagurney, “A network formulation of market equilibrium problems and variational inequalities,”Operations Research Letters 3 (1984) 247–250.
Google Scholar - S. Dafermos and A. Nagurney, “Oligopolistic and competitive behavior of spatially separated markets,”Regional Science and Urban Economics 17 (1987) 225–254.
Google Scholar - S. Dafermos and L. Zhao, “Variational inequality methods for solving large-scale economic equilibria,” Paper presented at the ORSA/TIMS Meeting (Washington, DC, April 1988).
- S. Dafermos and L. Zhao, “General equilibrium and variational inequalities: Existence, uniqueness and sensitivity,” LCDS Report #89-2, Brown University (Providence, RI, 1989).
Google Scholar - B.C. Eaves, “On the basic theorem of complementarity,”Mathematical Programming 1 (1972) 68–75.
Google Scholar - M. Florian and M. Los, “A new look at the static spatial price equilibrium models,”Regional Science and Urban Economics 12 (1982) 579–597.
Google Scholar - D. Gabay and H. Moulin, “On the uniqueness and stability of Nash equilibria in noncooperative games,” in: A. Bensoussan, P. Kleindorfer and C.S. Tapiero, eds.,Applied Stochastic Control of Econometrics and Management Science (North-Holland, Amsterdam, 1980) pp. 271–293.
Google Scholar - J.M. Grandmont, “Temporary general equilibrium theory,”Econometrica 45 (1977) 535–572.
Google Scholar - W. Hildenbrand, “Law of demand,”Econometrica 51 (1983) 997–1019.
Google Scholar - S. Karamardian, “The nonlinear complementarity problem with applications, Part 1,”Journal of Optimization Theory and Applications 4 (1969).
- D. Kinderlehrer and G. Stampacchia,An Introduction to Variational Inequalities and Applications (Academic Press, New York, 1980).
Google Scholar - C.E. Lemke, “Bimatrix equilibrium points and mathematical programming,”Management Science II (1965).
- A. Mas-Colell,The Theory of General Economic Equilibrium A Differentiable Approach. Econometric Society Publication, Vol. 9 (Cambridge University Press, Cambridge, 1985).
Google Scholar - L. Mathiesen, “An algorithm based on a sequence of linear complementarity problems applied to a Walrasian equilibrium model: an example,”Mathematical Programming 37 (1987) 1–18.
Google Scholar - H. Scarf (with T. Hansen),Computation of Economic Equilibria (Yale University Press, New Haven, CT, 1973).
Google Scholar - M. Todd, “Computation of fixed points and applications,” in:Lecture Notes in Economics and Mathematical Systems, Vol. 124 (Springer, Berlin, 1976).
Google Scholar - L. Zhao, “Variational inequalities in general economic equilibrium: Analysis and algorithms,” Ph.D. Thesis, Division of Applied Mathematics, Brown University (Providence, RI, 1988).
Google Scholar