<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Kinetic models have so far been used to model wealth distribution in a society. In particular, within the framework of the kinetic theory for active particles, some important models have been developed and proposed. They involve nonlinear interactions among individuals that are modeled according to game theoretical tools by introducing parameters governing the temporal dynamics of the system. In this present paper we propose an approach based on optimal control tools that aims to optimize this evolving dynamics from a social point of view. Namely, we look for time dependent control variables concerning the distribution of wealth that can be managed, for instance, by the government, in order to obtain a given social profile.</p></abstract>

Kinetic models have so far been used to model wealth distribution in a society. In particular, within the framework of the kinetic theory for active particles, some important models have been developed and proposed. They involve nonlinear interactions among individuals that are modeled according to game theoretical tools by introducing parameters governing the temporal dynamics of the system. In this present paper we propose an approach based on optimal control tools that aims to optimize this evolving dynamics from a social point of view. Namely, we look for time dependent control variables concerning the distribution of wealth that can be managed, for instance, by the government, in order to obtain a given social profile.

On an optimal control strategy in a kinetic social dynamics model

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On an optimal control strategy in a kinetic social dynamics model"}

Kinetic models have so far been used to model wealth distribution in a society. In particular, within the framework of the kinetic theory for active particles,...

On an optimal control strategy in a kinetic social dynamics model

Published Online: Dec 19, 2018

Page range: 22 - 33

Received: Sep 29, 2016

Accepted: Apr 10, 2018

DOI: https://doi.org/10.2478/caim-2018-0014

Keywords
kinetic model, active particles, optimal control, social dynamics

© 2018 Damián A. Knopoff, Germán A. Torres, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On an optimal control strategy in a kinetic social dynamics model

Published Online: Dec 19, 2018

Page range: 22 - 33

Received: Sep 29, 2016

Accepted: Apr 10, 2018

DOI: https://doi.org/10.2478/caim-2018-0014

Keywordskinetic model, active particles, optimal control, social dynamics

© 2018 Damián A. Knopoff, Germán A. Torres, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
kinetic model, active particles, optimal control, social dynamics