Abstract
The mathematical base of stochastic labor markets is the theory of Markov processes, and the uncertainty is its indivisible part. In this paper, Markov processes are used to calculate the equilibrium position, the time needed to reach it, natural rate of unemployment, transition probabilities and first passage time. While the theories of uncertainty give explanation why workers transit, identify the market anomalies and best fitted Markov model. The findings showed that the semi-Markov labor model better fits Switzerland data. Furthermore, the time needed to reach the equilibrium position is 4.6 years and the right number of employed workers, unemployed and inactive workers maintain the highest rate of uncertainty reduction is 67.16 %, 1.31 % and 31.54 % respectively, where 1.31% is the natural rate of unemployment. What is also important to point out is that the percent of employed workers in Switzerland is expected to decrease from 79.4% to 67.16%, while the percent of inactive workers is projected to increase significantly, from 15.9%to 31.54%. Workers who are expected to transit to an Inactive state in the future and stay there for a longer time are the older works (above 45 years). In other words, the Switzerland labor market is directed toward its “bad” equilibrium. In the end, the demographic structure is considered as one of the main factors for sustainable growth. Therefore, the government is suggested to control the population growth and put into practice new-innovative youth policies,becausethe traditional pro-family policies implemented to encourage bigger families has failed to increase the fertility rates to expected levels.
Highlights
The mathematical base of stochastic labor markets is the theory of Markov processes, and the uncertainty is its indivisible part
The theories of uncertainty explain why the most probable path in labor markets is always that which is the shortest and keep to the steepest state that will have just the right number of employed workers, unemployed and inactive workers to maintain the highest rate of uncertainty reduction
Unifying the concepts of Markov models and the uncertainty reduction theorywe can give an answer to the following questions: what is the equilibrium position, the time needed to reach it, which workers will transit and where, the direction of the system-toward its equilibrium position or far away it equilibrium position, market anomalies, the labor market current position and best fitted Markov model
Summary
The mathematical base of stochastic labor markets is the theory of Markov processes, and the uncertainty is its indivisible part. While the theories of uncertainty give explanation why workers transit, identify the market anomalies and best fitted Markov model. When the Employment state is the lowest uncertainty state than we can say that the labor market is stable/efficient because the worker will stay employed, will not transit. When the Unemployment state or Inactive state is the lower uncertainty state than the labor market is unstable/inefficient (negative anomaly has been detected), and semi-Markov model batter fits the data. In this case, in future, it is expected the employed workers to transit and become unemployed or inactive, depending on the state’s uncertainty level.
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