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Inverse Stackelberg Solutions for Games with Many Followers

Author

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  • Yurii Averboukh

    (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)

Abstract

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.

Suggested Citation

  • Yurii Averboukh, 2018. "Inverse Stackelberg Solutions for Games with Many Followers," Mathematics, MDPI, vol. 6(9), pages 1-9, August.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:9:p:151-:d:166714
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    References listed on IDEAS

    as
    1. Yurii Averboukh & Artem Baklanov, 2014. "Stackelberg Solutions of Differential Games in the Class of Nonanticipative Strategies," Dynamic Games and Applications, Springer, vol. 4(1), pages 1-9, March.
    2. G. J. Olsder, 2009. "Phenomena in Inverse Stackelberg Games, Part 2: Dynamic Problems," Journal of Optimization Theory and Applications, Springer, vol. 143(3), pages 601-618, December.
    3. Alain Haurie & Georges Zaccour (ed.), 2005. "Dynamic Games: Theory and Applications," Springer Books, Springer, number 978-0-387-24602-4, October.
    4. Massimiliano Ferrara & Mehrnoosh Khademi & Mehdi Salimi & Somayeh Sharifi, 2017. "A Dynamic Stackelberg Game of Supply Chain for a Corporate Social Responsibility," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-8, February.
    5. G. J. Olsder, 2009. "Phenomena in Inverse Stackelberg Games, Part 1: Static Problems," Journal of Optimization Theory and Applications, Springer, vol. 143(3), pages 589-600, December.
    6. Guiomar Martín-Herrän & Sihem Taboubi, 2005. "Incentive Strategies for Shelf-Space Allocation in Duopolies," Springer Books, in: Alain Haurie & Georges Zaccour (ed.), Dynamic Games: Theory and Applications, chapter 0, pages 231-253, Springer.
    Full references (including those not matched with items on IDEAS)

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