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Mathematics 2018, 6(9), 151;

Inverse Stackelberg Solutions for Games with Many Followers

Department of Control systems, Krasovskii Institute of Mathematics and Mechanics, 16, S. Kovalevskoi str. Yekaterinburg 620990, Russia
Department of Applaied Mathematics and Mechanics, Ural Federal University, 19, Mira str. Yekaterinburg 620002, Russia
Received: 30 July 2018 / Revised: 23 August 2018 / Accepted: 27 August 2018 / Published: 30 August 2018
(This article belongs to the Special Issue Mathematical Game Theory)
Full-Text   |   PDF [239 KB, uploaded 30 August 2018]


The paper is devoted to inverse Stackelberg games with many players. We consider both static and differential games. The main assumption of the paper is the compactness of the strategy sets. We obtain the characterization of inverse Stackelberg solutions and under additional concavity conditions, establish the existence theorem. View Full-Text
Keywords: inverse Stackelberg games; incentives; differential games inverse Stackelberg games; incentives; differential games
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Averboukh, Y. Inverse Stackelberg Solutions for Games with Many Followers. Mathematics 2018, 6, 151.

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