Geodesic
A model of incentive wages as an optimal control problem
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 7 (2014) no. 4, pp. 22-35

Voir la notice de l'article provenant de la source Math-Net.Ru

This articles considers a «shirking» model under the theory of efficiency contracts, which determines the profile of a worker's individual wages depending on his experience. The profile is a stimulating condition to increase productivity and the period of employment. Certain additional assumtions reduce the model to a nonclassical variational problem or a linear optimal control problem. We prove nonemptiness criteria and the existence of solutions, find necessary and sufficient conditions for optimality, give an algorithm to solve the problem, and present the results of simulations.
Keywords: «shirking» model; an efficiency contract model; an efficiency wage model; incentive wages; nonclassical variational problem; linear optimal control problem. 
@article{VYURU_2014_7_4_a1,
     author = {E. A. Aleksandrova and S. A. Anikin},
     title = {A model of incentive wages as an optimal control problem},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {22--35},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2014_7_4_a1/}
}
TY  - JOUR
AU  - E. A. Aleksandrova
AU  - S. A. Anikin
TI  - A model of incentive wages as an optimal control problem
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
PY  - 2014
SP  - 22
EP  - 35
VL  - 7
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VYURU_2014_7_4_a1/
LA  - ru
ID  - VYURU_2014_7_4_a1
ER  - 
%0 Journal Article
%A E. A. Aleksandrova
%A S. A. Anikin
%T A model of incentive wages as an optimal control problem
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
%D 2014
%P 22-35
%V 7
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VYURU_2014_7_4_a1/
%G ru
%F VYURU_2014_7_4_a1
E. A. Aleksandrova; S. A. Anikin. A model of incentive wages as an optimal control problem. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 7 (2014) no. 4, pp. 22-35. http://geodesic.mathdoc.fr/item/VYURU_2014_7_4_a1/