The Open Monopolistic Competition Models: Market Equilibrium and Social Optimality

Author:

Bykadorov Igor1ORCID

Affiliation:

1. Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, 4 Koptyug Ave., 630090 Novosibirsk, Russia

Abstract

We study the monopolistic competition model of Dixit–Stiglitz–Krugman with additive separable utility and transport costs of “iceberg types”. The production costs are not necessary linear. We study two concepts: market equilibrium and social optimality. There are well-known facts in the closed economy under monopolistic competition: (1) “in market equilibrium, the elasticity of revenue equals the elasticity of total costs” and (2) “in social optimality, the elasticity of utility equals the elasticity of total costs”. Moreover, earlier Prof. Sergey Kokovin (HSE University, Russia) generated the idea that (3) “the search for equilibrium is equivalent to the problem of optimization, but revenue, not utility”. For the case of several countries, it turns out that facts (1) and (2) and prediction (3) remain mostly true.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference22 articles.

1. Chamberlin, E.H. (1933). The Theory of Monopolistic Competition: A Re-Orientation of the Theory of Value, Harvard University Press. [1st ed.].

2. Robinson, J. (1933). The Economics of Imperfect Competition, Macmillan. [1st ed.].

3. Monopolistic Competition and Optimum Product Diversity;Dixit;Am. Econ. Rev.,1977

4. Increasing Returns, Monopolistic Competition, and International Trade;Krugman;J. Int. Econ.,1979

5. Scale Economies, Product Differentiation, and the Pattern of Trade;Krugman;Am. Econ. Rev.,1980

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