Abstract
The existence of vector functions of equilibrium prices in market models described by differential equations is studied. In the models under study, supply and demand depend not only on the commodity prices but also on the price change rate. Sufficient conditions for the existence of equilibrium in such models are obtained as corollaries of theorems on the existence of coincidence points for mappings acting from a \(q_0\)-symmetric \((q_1,q_2) \)-quasimetric price space into the metric space of purchased sets of goods.
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Funding
Theorems 2 and 3 were obtained by A.V. Arutyunov with the support of the Russian Science Foundation, project no. 20-11-20131. Theorem 4 was obtained by N.G. Pavlova with the financial support of the Ministry of Science and Higher Education of the Russian Federation, state order (Goszadanie) no. 075-00337-20-03, project no. 0714-2020-0005.
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Translated by V. Potapchouck
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Arutyunov, A.V., Pavlova, N.G. Equilibrium in Market Models Described by Differential Equations. Diff Equat 58, 1267–1276 (2022). https://doi.org/10.1134/S0012266122090117
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DOI: https://doi.org/10.1134/S0012266122090117