| Title:
|
On the existence of the price equilibrium by different methods (English) |
| Author:
|
Tarafdar, E. |
| Author:
|
Thompson, H. B. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
413-417 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We have given several proofs on the existence of the price equilibrium --- via variational inequality --- via degree theory and via Brouwer's theorems. (English) |
| Keyword:
|
Brouwer degree |
| Keyword:
|
variational inequality |
| Keyword:
|
equilibrium |
| Keyword:
|
pure exchange economy |
| MSC:
|
47H10 |
| MSC:
|
47J20 |
| MSC:
|
90A12 |
| MSC:
|
90A14 |
| MSC:
|
91B50 |
| idZBL:
|
Zbl 0802.47060 |
| idMR:
|
MR1243072 |
| . |
| Date available:
|
2009-01-08T18:04:45Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118597 |
| . |
| Reference:
|
[1] Aliprantis C.D., Brown D.J.: Equilibria in markets with a Riesz space of commodities.Journal of Mathematical Economics 11 (1983), 189-207. Zbl 0502.90006, MR 0701616 |
| Reference:
|
[2] Border K.C.: Fixed Point Theorems with Applications to Economics and Game Theory.Cambridge University Press, Cambridge, 1985. Zbl 0732.47050, MR 0790845 |
| Reference:
|
[3] Browder F.E.: A new generalization of the Schauder fixed point theorem.Mathematische Annalen 174 (1967), 285-290. Zbl 0176.45203, MR 0223944 |
| Reference:
|
[4] Hartman P., Stampacchia G.: On some nonlinear elliptic differential functional equations.Acta Mathematica 115 (1966), 271-310. MR 0206537 |
| Reference:
|
[5] Scarf H.E.: The Computations of Economic Equilibria.New Haven, Yale University, 1973. MR 0391909 |
| Reference:
|
[6] Smale S.: A convergent process of price adjustment and global Newton methods.Journal of Mathematical Economics 3 (1976), 107-120. Zbl 0354.90018, MR 0411577 |
| Reference:
|
[7] Todd M.J.: The computation of Fixed Points and Applications.Springer-Verlag, Berlin, 1976. Zbl 0332.54003, MR 0410732 |
| . |
