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2011 | OriginalPaper | Buchkapitel

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

verfasst von : Philipp Hungerländer, Reinhard Neck

Erschienen in: Computational Methods in Economic Dynamics

Verlag: Springer Berlin Heidelberg

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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.

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Fußnoten
1
For all equations belonging to this theorem and its proof, iN and k∈{0,…,T−1} unless otherwise indicated.
 
2
For all equations belonging to this corollary k∈{0,…,T−1} unless otherwise stated.
 
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Metadaten
Titel
An Algorithmic Equilibrium Solution for n-Person Dynamic Stackelberg Difference Games with Open-Loop Information Pattern
verfasst von
Philipp Hungerländer
Reinhard Neck
Copyright-Jahr
2011
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-16943-4_10