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An Algorithmic Equilibrium Solution for n-Person Dynamic Stackelberg Difference Games with Open-Loop Information Pattern

In: Computational Methods in Economic Dynamics

Author

Listed:
  • Philipp Hungerländer

    (Klagenfurt University)

  • Reinhard Neck

    (Klagenfurt University)

Abstract

In this paper, extensions are presented for the open-loop Stackelberg equilibrium solution of n-person discrete-time affine-quadratic dynamic games of prespecified fixed duration to allow for an arbitrary number of followers and the possibility of algorithmic implementation. First we prove a general result about the existence of a Stackelberg equilibrium solution with one leader and arbitrarily many followers in n-person discrete-time deterministic infinite dynamic games of prespecified fixed duration with open-loop information pattern. Then this result is applied to affine-quadratic games. Thereby we get a system of equilibrium equations that can easily be used for an algorithmic solution of the given Stackelberg game.

Suggested Citation

  • Philipp Hungerländer & Reinhard Neck, 2011. "An Algorithmic Equilibrium Solution for n-Person Dynamic Stackelberg Difference Games with Open-Loop Information Pattern," Dynamic Modeling and Econometrics in Economics and Finance, in: Herbert Dawid & Willi Semmler (ed.), Computational Methods in Economic Dynamics, pages 197-214, Springer.
    • Handle: RePEc:spr:dymchp:978-3-642-16943-4_10
    DOI: 10.1007/978-3-642-16943-4_10
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    Cited by:

    1. Lin Zhao & Shaobo Lu & Bohan Zhang, 2019. "Game-Based Hierarchical Cooperative Control for Electric Vehicle Lateral Stability via Active Four-Wheel Steering and Direct Yaw-Moment Control," Energies, MDPI, vol. 12(17), pages 1-21, August.

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