Arutyunov, A. V.; Zhukovskij, S. E.; Pavlova, N. G. Equilibrium price as a coincidence point of two mappings. (Russian, English) Zbl 1274.91292 Zh. Vychisl. Mat. Mat. Fiz. 53, No. 2, 225-237 (2013); translation in Comput. Math. Math. Phys. 53, No. 2, 158-169 (2013). Summary: 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. Cited in 5 Documents MSC: 91B50 General equilibrium theory Keywords:equilibrium price; demand function; supply function; coincidence points; \(\alpha\)-covering mappings PDFBibTeX XMLCite \textit{A. V. Arutyunov} et al., Zh. Vychisl. Mat. Mat. Fiz. 53, No. 2, 225--237 (2013; Zbl 1274.91292); translation in Comput. Math. Math. Phys. 53, No. 2, 158--169 (2013) Full Text: DOI