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Career plans and wage structures: a mean field game approach.

* Sorbonne Université, UPD, CNRS, Inria, Laboratoire Jacques-Louis Lions, F75005 Paris.
ǂ Sorbonne Université, CNRS, Laboratoire de Biologie Computationnelle et Quantitative, F75005 Paris.

This paper exemplifies the relationships between career plans and wage structures. It relies onan innovative methodological approach using the mean field games (MFG) theory in a problem ofworkers managment engineering. We describe how an individual can optimize his carrer in a givenstructured labor market to come up with an income optimal career trajectory. Similarly, we showthat the same thought process can be applied by firms to structure their internal labor market tofit with workers own optimization. Finally, we compute the analytical solutions of our frameworkand calibrate them to the market data to further our discussion. The interest of the paper relieson the modeling isssue and we leave open the complex mathematical questions which range in thefield of inverse problems.
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© 2018 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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