# Profit rates equalization and balanced growth in a multi-sector model of classical competition

*Roman Kiedrowski*

*Journal of Mathematical Economics*, 2018, vol. 77, issue C, 39-53

**Abstract:**
The article refers to the old issue of profit rates equalization, originated from the works of Smith and Ricardo. It is devoted to a dynamic, recursive model of classical competition in a growing economy. The economy is composed of n firms (sectors) producing n different goods. Decisions on prices and production are made in each period by firms managers who take production capacities, determined by fixed capital, as given. All firms are owned by one representative capital owner (a capitalist) who decides in each period on his consumption and investment funds and next distributes the investment fund among firms on the basis of their capital profitability differentials. The author presents proof of existence, uniqueness and stability of a long-run classical equilibrium, which is equivalent to a balanced, long-run growth of fixed capital, output and consumption with equal profit rates and zero inventories.

**Keywords:** Profit rates equalization; Classical equilibrium; Classical competition; Prices of production; Balanced growth; Multi-sector models (search for similar items in EconPapers)

**Date:** 2018

**References:** View references in EconPapers View complete reference list from CitEc

**Citations** Track citations by RSS feed

**Downloads:** (external link)

http://www.sciencedirect.com/science/article/pii/S0304406818300594

Full text for ScienceDirect subscribers only

**Related works:**

This item may be available elsewhere in EconPapers: Search for items with the same title.

**Export reference:** BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text

**Persistent link:** https://EconPapers.repec.org/RePEc:eee:mateco:v:77:y:2018:i:c:p:39-53

Access Statistics for this article

Journal of Mathematical Economics is currently edited by *Atsushi (A.) Kajii*

More articles in Journal of Mathematical Economics from Elsevier

Bibliographic data for series maintained by Dana Niculescu ().