Game Theory Model of Competitive Interaction in Conditions of Multiple Interests of Participating Agents in the Labor Market
The model of competitive interaction between employees of the same qualification, in which two employees and several employers take part, is considered. The purpose of the article is to investigate the competitive interaction between the agents of the labor market by mathematical modeling methods. The objectives are to identify the features of modeling socio-economic processes in the labor market; to find a compromise between the agents of the labor market; to select the most successful moment of getting a job by employees. Game theory is used to solve problems and simulate the process of interaction between employees and employers. It is assumed that random wins are given in such a way that it is possible to calculate their mathematical expectation and use them as winnings in the normal form of the game, i.e. they are expressed in some conventional units and represent some abstract level of usefulness for the player with this combination of strategy. The results of the study are as follows: a model of competitive interaction between employees and employers, which is formalized as a game in a normal form, is proposed; the algorithm of finding the compromise income of players is created; the numerical example ofreaching a compromise between all participants is given.