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PresentationsAn elementary model of labour market bi-stability in an industrial economyInstitute of Control Sciences of the Russian Academy of Sciences, Russia, 117997, Moscow, Profsoyuznaya st. 65, 89261477736, o-krivosheev@yandex.ru Within the framework of a broad public discussion about the possibility and probability of the onset and aggravation of excess in the labor market in the world as a whole, it is useful and necessary to have a simple and easily interpreted model of the corresponding phenomenon. It is such a particularly simple model, which exhibits from one to three equilibria (depending on the parameters available on the spot), that is proposed in the report. The only linear technology that imports 1 factor of production at a price independent of the purchase volume and offers the final product both on the domestic and foreign markets is considered. In the foreign market, demand is described by a linear function in real and a quadratic function in nominal variables, while the import of factors of production is described by a monetary function of the step type. In the absence of consumer imports -a) the picture of the foreign trade balance is exhausted, in the case of a linear division of income between imports and domestic production - the utility function a la Cobb-Douglas we get a linear addition to the import demand as shown in Figure b) -on the right. In the complex case (as in the figure) we have two stable equilibria separated by an unstable third. Parametric study of the model shows that the right equilibrium of full employment disappears with a significant increase in labor productivity, which will require active government intervention. Literature 1. Krivosheev O.I. Modeling of rent in a labor-surplus economy. 2 p. Sociophysics-2018. Proceedings of the conference. 2018
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