Continuity properties of Walras equilibrium points

Annals of Operations Research

Volumn 114, Issue 1-4, 2002, Pages 229-243

  Jofré, Alejandro ^a   Wets, Roger J B ^b  

^a UNIVERSITY OF CHILE   (Chile)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Ky Fan functions; Lopsided convergence; Market equilibrium; Max inf points; Min sup points

Indexed keywords

EID: 0036431266     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: 10.1023/A:1021022522035     Document Type: Article

References (23)

1. H. Attouch, Variational Convergence for Functions and Operators (Pitman, 1984).
2. H. Attouch and R.J.-B. Wets, Convergence des points min/sup et de points fixes, Comptes Rendus de l'Académie des Sciences de Paris 296 (1983) 657-660.
3. J.-P. Aubin and I. Ekeland, Applied Nonlinear Analysis (Wiley, 1984).
4. J.-P. Aubin and H. Frankowska, Set-Valued Analysis (Birkhäuser, 1990).
5. Y. Balasko, Fundations of the Theory of General Equilibrium (Academic Press, 1988).
6. Y. Balasko, Smooth equilibrium analysis with price dependent preferences, Preprint (2000).
7. J.M. Bonnisseau, Regular economies without ordered preferences, Preprint (2001).
8. S. Dafermos, Exchange price equilibria and variational inequalities, Mathematical Programming 46 (1990) 391-402.
9. G. Debreu, Theory of Value (Wiley, 1959).
10. K. Fan, A minimax inequality and applications, in: Inequalities, Vol. 3, ed. A. Shisha (Academic Press, 1972) pp. 103-113.
11. S. Flåm, On variational stability in competitive economies, Set-Valued Analysis 2 (1994) 159-173.
12. S. Flåm and B. Sandvik, Competitive equilibrium: Walras meets Darwin, Optimization 47 (2000) 137-153.
13. F. Hahn, Stability, in: Handbook of Mathematical Economics, eds. K. Arrow and M. Intriligator (North-Holland, 1981) chapter 16, pp. 745-793.
14. A. Jofre and R.J.-B. Wets, Continuity results for Nash and Walras equilibrium points (2002), in preparation.
15. R. Lucchetti and F. Patrone, Closure and uppersemicontinuity results in mathematical programming, Nash and economic equilibria, Optimization 17 (1986) 619-628.
16. A. Mas-Colell, The Theory of General Economic Equilibrium: A Differentiable Approach, Econometric Society Monographs (Cambridge University Press, 1985).
17. A. Mas-Colell, M. Whinston and J. Green, Microeconomic Theorem (Oxford University Press, 1995).
18. R.T. Rockafellar and R.J.-B. Wets, Variational Analysis (Springer, 1998).
19. S. Simons, The continuity of inf-sup with applications, Archiv der Mathematik 48 (1987) 426-437.
20. S. Simons, Minmax and Monotonicity, Lecture Notes in Mathematics, Vol. 1693 (Springer, 1998).
21. S. Smale, Global analysis and economics, IV: Finiteness and stability of equilibria with general consumption sets and production, Journal of Mathematical Economics 1(2) (1974) 119-127.
22. S. Smale, A convergent process of price adjustment and global newton methods, Journal of Mathematical Economics 3(2) (1976) 107-120.
23. S. Smale, Global analysis and economics, in: Handbook of Mathematical Economics, eds. K. Arrow and M. Intriligator (North-Holland, 1981) pp. 331-370.