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A Short State of the Art on Multi-Leader-Follower Games

In: Bilevel Optimization

Author

Listed:
  • Didier Aussel

    (Université de Perpignan)

  • Anton Svensson

    (Université de Perpignan
    Universidad de Chile)

Abstract

Multi-Leader-Follower games are complex optimization problems that mix a bilevel structure with one or more Nash games. Such kinds of models have been already described in the seminal book of H. von Stackelberg ((1934)Marktform und Gleichgewicht. Springer, Berlin); von Stackelberg et al. ((2011) Market structure and equilibrium. Springer, Heidelberg) and are known to perfectly fit to a lot of applications involving non cooperative situations with hierarchical interactions. Nevertheless it is only recently that theoretical and numerical developments for Multi-Leader-Follower problems have been made. This chapter aims to propose a state of the art of this field of research at the frontier between optimization and economics.

Suggested Citation

  • Didier Aussel & Anton Svensson, 2020. "A Short State of the Art on Multi-Leader-Follower Games," Springer Optimization and Its Applications, in: Stephan Dempe & Alain Zemkoho (ed.), Bilevel Optimization, chapter 0, pages 53-76, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-52119-6_3
    DOI: 10.1007/978-3-030-52119-6_3
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    Citations

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    Cited by:

    1. Gianfranco Liberona & David Salas & Léonard Niederhäusern, 2024. "The Value of Shared Information for allocation of drivers in ride-hailing: a proof-of-concept study," Computational Management Science, Springer, vol. 21(1), pages 1-32, June.
    2. Xi, Haoning & Aussel, Didier & Liu, Wei & Waller, S.Travis. & Rey, David, 2024. "Single-leader multi-follower games for the regulation of two-sided mobility-as-a-service markets," European Journal of Operational Research, Elsevier, vol. 317(3), pages 718-736.
    3. Didier Aussel & Parin Chaipunya, 2024. "Variational and Quasi-Variational Inequalities Under Local Reproducibility: Solution Concept and Applications," Journal of Optimization Theory and Applications, Springer, vol. 203(2), pages 1531-1563, November.
    4. Cheng, Xiaoyuan & Yao, Ruiqiu & Postnikov, Andrey & Hu, Yukun & Varga, Liz, 2024. "Decentralized intelligent multi-party competitive aggregation framework for electricity prosumers," Applied Energy, Elsevier, vol. 373(C).
    5. Huang, Wentao & Jian, Sisi & Rey, David, 2024. "Non-additive network pricing with non-cooperative mobility service providers," European Journal of Operational Research, Elsevier, vol. 318(3), pages 802-824.
    6. Domenico Scopelliti, 2022. "On a Class of Multistage Stochastic Hierarchical Problems," Mathematics, MDPI, vol. 10(21), pages 1-13, October.
    7. Aussel, Didier & Cao Van, Kien & Salas, David, 2023. "Optimal design of exchange water networks with control inputs in Eco-Industrial Parks," Energy Economics, Elsevier, vol. 120(C).
    8. Orestes Bueno & John Cotrina, 2021. "Existence of Projected Solutions for Generalized Nash Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 191(1), pages 344-362, October.

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