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Article

Tarafdar, E. ; Thompson, H. B.
On the existence of the price equilibrium by different methods. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 3, pp. 413-417
MSC: 47H10, 47J20, 90A12, 90A14, 91B50 | MR 1243072 | Zbl 0802.47060
Keywords:
Brouwer degree; variational inequality; equilibrium; pure exchange economy
Summary:
We have given several proofs on the existence of the price equilibrium --- via variational inequality --- via degree theory and via Brouwer's theorems.
References:
[1] Aliprantis C.D., Brown D.J.: Equilibria in markets with a Riesz space of commodities. Journal of Mathematical Economics 11 (1983), 189-207. MR 0701616 | Zbl 0502.90006
[2] Border K.C.: Fixed Point Theorems with Applications to Economics and Game Theory. Cambridge University Press, Cambridge, 1985. MR 0790845 | Zbl 0732.47050
[3] Browder F.E.: A new generalization of the Schauder fixed point theorem. Mathematische Annalen 174 (1967), 285-290. MR 0223944 | Zbl 0176.45203
[4] Hartman P., Stampacchia G.: On some nonlinear elliptic differential functional equations. Acta Mathematica 115 (1966), 271-310. MR 0206537
[5] Scarf H.E.: The Computations of Economic Equilibria. New Haven, Yale University, 1973. MR 0391909
[6] Smale S.: A convergent process of price adjustment and global Newton methods. Journal of Mathematical Economics 3 (1976), 107-120. MR 0411577 | Zbl 0354.90018
[7] Todd M.J.: The computation of Fixed Points and Applications. Springer-Verlag, Berlin, 1976. MR 0410732 | Zbl 0332.54003
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