TY - GEN

T1 - Game-Theoretic Model of the Dynamic Problem of Labor Resources Optimal Assignment

AU - Zaitseva, Irina

AU - Malafeyev, Oleg

AU - Poddubnaya, Nataliya

AU - Orlov, Vyacheslav

AU - Bondarenko, Lidiya

AU - Petrova, Valentina

PY - 2019/11

Y1 - 2019/11

N2 - The paper considers a game-theoretic model of a dynamic optimal-purpose problem using the example of the labor market functioning. A deterministic model of the workers optimal distribution among enterprises is described taking into account changing conditions over a period of time. At each moment of time, the state of the employee and the enterprise are determined. Moments of time are moments of the system stationary states. In each stationary state, a game in normal form is determined. In the game there is a compromise situation, optimal policy, and the system's income from appointments is calculated as the sum of the payoff functions of all players. The functioning of the labor market as a system for some periods of time is presented as a multi-step game on a tree. In a one-step game based on the principle of compromise set optimality, there is a compromise situation and the corresponding compromise control vector. On the multi-step game tree, there is a compromise income of the system in a few steps, when a sequence of games was realized, and a compromise path corresponding to a sequence of compromise control vectors. The compromise system income and the sequence of compromise controls are found using dynamic programming recurrence relationships. Thus, it is possible to indicate the optimal behavior of all participants in the labor market at any given time.

AB - The paper considers a game-theoretic model of a dynamic optimal-purpose problem using the example of the labor market functioning. A deterministic model of the workers optimal distribution among enterprises is described taking into account changing conditions over a period of time. At each moment of time, the state of the employee and the enterprise are determined. Moments of time are moments of the system stationary states. In each stationary state, a game in normal form is determined. In the game there is a compromise situation, optimal policy, and the system's income from appointments is calculated as the sum of the payoff functions of all players. The functioning of the labor market as a system for some periods of time is presented as a multi-step game on a tree. In a one-step game based on the principle of compromise set optimality, there is a compromise situation and the corresponding compromise control vector. On the multi-step game tree, there is a compromise income of the system in a few steps, when a sequence of games was realized, and a compromise path corresponding to a sequence of compromise control vectors. The compromise system income and the sequence of compromise controls are found using dynamic programming recurrence relationships. Thus, it is possible to indicate the optimal behavior of all participants in the labor market at any given time.

KW - dynamic problem

KW - game theory

KW - labor resources

KW - optimal assignment

UR - http://www.scopus.com/inward/record.url?scp=85078129873&partnerID=8YFLogxK

U2 - 10.1109/SUMMA48161.2019.8947478

DO - 10.1109/SUMMA48161.2019.8947478

M3 - Conference contribution

T3 - Proceedings - 2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency, SUMMA 2019

SP - 229

EP - 234

BT - Proceedings - 2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency, SUMMA 2019

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency, SUMMA 2019

Y2 - 20 November 2019 through 22 November 2019

ER -