EVALUATION OF THE LATVIAN LABOUR MARKET USING THE COBB-DOUGLAS PRODUCTION FUNCTION AND THE BEVERIDGE CURVE MODEL
Authors: Hiļķevičs Sergejs , Lasmane Sanita 
Published: April 2022

INTRODUCTION
One of the biggest problems in the Latvian labour market is related to insufficient work productivity, but this is an important aspect of sustainable economic growth, and special attention needs to be paid to it from a macroeconomic point of view. Productivity is measured as gross domestic product per hour worked. One of the most important macroeconomic questions is the one that tries to understand how the gross domestic product depends on capital and labour. Cobb-Douglas production function is related to both – gross domestic product and labour market – and, despite being developed more than 90 years ago, it is still an object of interest. There are unresolved issues related to the function, one of which is whether parameters α and β are equal to 1 or not. Considering the long GDP, labour, and capital time series for one country, it has been recognised that the sum does not have to be equal to 1. The aim of this research is to find what parameters of Cobb-Douglas function for Latvia are equal to and evaluate the Latvian labour market using the Cobb-Douglas production function and the Beveridge curve model.
METHODS
When evaluating the Latvian labour market using the Cobb-Douglas production function, the statistical data of Latvian gross domestic product, labour market and capital were taken, and multilinear logarithmic regression was performed to evaluate parameters α and β of the Cobb-Douglas production function. When evaluating the Latvian labour market using the Beveridge curve, the statistical data of the unemployment rate and the vacancy rate in Latvia were chosen.
RESULTS
When evaluating the Latvian labour market using the Cobb-Douglas production function, the regression analysis gave α + β > 1 (α = 0.74 and β = 1.55). Here, a certain contradiction with the standard scaling condition α + β = 1 arises.
When evaluating the Latvia labour market using the Beveridge curve model, the analysis showed that the ratio between the unemployment rate and vacancy rate grows during the economic decline periods and drops during the economic growth periods.
DISCUSSION
The condition α + β = 1 has been discussed in the literature since the original Cobb and Douglas paper, and the main problem of the discussion is that the clear scaling reasons based on a theoretical explanation of this condition does not meet the experimental data. There is a condition called the scaling condition. If we merge two identical countries in one country that is two times larger, then GDP, capital and labour will be doubled. Cobb-Douglas function can be tested to see how it works in one country. However, when tested empirically on the data taken from one country, the requirement about the sum of parameters being equal to 1 is not met.
The interest in the values of the parameters of the Cobb-Douglas production function is based on the fact that they affect the labour market equilibrium. Parameter β of the Cobb-Douglas production function is used in the utility function of firms, and the condition of utility function maximisation determines the average wage in the country.