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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 2, Pages 225–237
DOI: https://doi.org/10.7868/S0044466913020051 (Mi zvmmf9778) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Equilibrium price as a coincidence point of two mappings

A. V. Arutyunov, S. E. Zhukovskiy, N. G. Pavlova

Peoples Friendship University of Russia
Full-text PDF (257 kB) Citations (16)
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DOI: https://doi.org/10.7868/S0044466913020051
Abstract: The existence of an equilibrium price vector in a nonlinear market model is analyzed. In the model, the demand and supply functions are obtained by maximizing the producer utility and profit, respectively. Sufficient conditions for the existence of an equilibrium price vector and its stability with respect to small perturbations in the model are given. The results are consequences of theorems on the existence and stability of coincidence points in the theory of $\alpha$-covering mappings.
Key words: equilibrium prices, demand function, supply function, coincidence point, covering mappings.
Received: 07.08.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 2, Pages 158–169
DOI: https://doi.org/10.1134/S0965542513020048
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. V. Arutyunov, S. E. Zhukovskiy, N. G. Pavlova, “Equilibrium price as a coincidence point of two mappings”, Zh. Vychisl. Mat. Mat. Fiz., 53:2 (2013), 225–237; Comput. Math. Math. Phys., 53:2 (2013), 158–169
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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