Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-24T02:29:52.150Z Has data issue: false hasContentIssue false

Equilibrium with fixed budgets and superlinear connections

Published online by Cambridge University Press:  17 February 2009

A. M. Rubinov
Affiliation:
School of Information Technology and Mathematical Sciences, University of Ballarat, Australia.
B. M. Glover
Affiliation:
School of Information Technology and Mathematical Sciences, University of Ballarat, Australia.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We study models of economic equilibrium with fixed budgets and assuming superlinear connections between consumption and production. Extremal problems and the existence of equilibria are discussed for such models along with some related differential properties. Examples to illustrate the broad nature of the model are discussed.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2001

References

[1]Arrow, K. J. and Hahn, F. N., General competitive analysis (Holden-Day, San-Francisco, 1971).Google Scholar
[2]Arrow, K. J. and Intrilligator, M. D. (eds.), Handbook of mathematical economics 2 (North-Holland, Amsterdam, 1982).Google Scholar
[3]Dem'yanov, V. F. and Rubinov, A. M., Quasidifferential calculus (Optimization Software, New York, 1986).Google Scholar
[4]Dréze, J. H. and Müller, H., “Optimality properties of rationing schemes”, J. Economic Theory 23 (1980) 131149.CrossRefGoogle Scholar
[5]Gadzhiev, F. A. and Rubinov, A. M., “Models of economic equilibrium in the presence of superlinear connections”, Soviet Math. Dokl. 44 (1992) 757761.Google Scholar
[6]Grandmont, J. M., “Temporary general equilibrium theory”, Econometrica 45 (1977) 535572.CrossRefGoogle Scholar
[7]Makarov, V. L., Levin, M. I. and Rubinov, A. M., Mathematical economic theory: pure and mixed types of economic mechanisms, Advanced Textbooks in Economics 33 (North-Holland, Amsterdam, 1995).Google Scholar
[8]Nikaido, H., Convex structures and economic theory (Academic Press, New York, 1969).Google Scholar
[9]Polterovich, V. M., “On stability of some resource allocation and price control processes”, in Mathematical economy and functional analysis, (in Russian), (Nauka, Moscow, 1978).Google Scholar
[10]Rockafellar, R. T., Convex analysis (Princeton University Press, Princeton, New Jersey, 1970).CrossRefGoogle Scholar
[11]Rubinov, A. M., “Equilibrium with fixed prices: coupons or budget functions?”, Working paper 7/96, SITMS, University of Ballarat, 1996.Google Scholar
[12]Timokhov, A. V., Mathematical models of economic reproduction, (in Russian) (Moscow State University Press, Moscow, 1982).Google Scholar