Equilibrium prices in a model of economic equilibrium

The authors study the existence of equilibrium prices in a model of a competitive economy under the assumption that the supply function is obtained as the result of the profit maximization taking into account transaction losses expressed, for example, in the form of a share of the output which is transferred abroad. The result follows from the existence of a coincidence point for a pair of maps in metric spaces, one of which is covering and the other Lipschitz [see e.g. A.~V. Arutyunov, Dokl. Akad. Nauk {bf 416} (2007), no.~2, 151--155; [msn] MR2450913 [/msn]; A.~V. Arutyunov and V. Obukhovskiu{ı}, {it Convex and set-valued analysis}, De Gruyter Grad., De Gruyter, Berlin, 2017; [msn] MR3616402 [/msn]].