Resumen
This paper presents a Stackelberg–Nash game for modeling multiple leaders and followers. The model involves two Nash games restricted by a Stackelberg game. We propose a computational approach to find the equilibrium point based on the extraproximal method for ergodic controlled finite Markov chains. The extraproximal method consists of a two-step iterated procedure: the first step is a prediction and the second is a basic adjustment of the previous step. We formulate the game as coupled nonlinear programming problems using the Lagrange principle. The Tikhonov’s regularization method is used to guarantee the convergence to a unique equilibrium point. Validity of the method is demonstrated applying this framework to model an oligopoly competition.
Idioma original | Inglés |
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Páginas (desde-hasta) | 650-673 |
Número de páginas | 24 |
Publicación | Cybernetics and Systems |
Volumen | 47 |
N.º | 8 |
DOI | |
Estado | Publicada - 16 nov. 2016 |