Sequential Stackelberg equilibria in two-person games
type: Item
instance of: scholarly article
title: Sequential Stackelberg equilibria in two-person games
zbMATH Open document ID: 0631.90100
DOI: 10.1007/BF00939867
author: Michèle Breton
author: A. Alj
author: Alain Haurie
published in: Journal of Optimization Theory and Applications
publication date: 1988-01-01T00:00:00Z
review text: The concept of sequential Stackelberg equilibrium is introduced in the general framework of dynamic, two-person games defined in the Denardo contracting operator formalism. A relationship between this solution concept and the sequential Nash equilibrium for an associated extended game is established. This correspondence result, which can be related to previous results obtained by \textit{T. Başar} and \textit{A. Haurie} [``Feedback equilibria in differential games with structural and modal uncertainties'', JAI Press, Greenwich, Connecticut (1984)], is then used for studying the existence of such solutions in a class of sequential games. For the zero-sum case, the sequential Stackelberg equilibrium corresponds to a sequential maxmin equilibrium. An algorithm is proposed for the computation of this particular case of equilibrium.
Mathematics Subject Classification ID: 91A20
Mathematics Subject Classification ID: 90C39
zbMATH DE Number: 4027225
zbMATH Keywords: sequential Stackelberg equilibrium
zbMATH Keywords: dynamic, two-person games
zbMATH Keywords: Denardo contracting operator
zbMATH Keywords: sequential Nash equilibrium
zbMATH Keywords: sequential maxmin equilibrium
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00939867
OpenAlex ID: W2000822214
description: scientific article; zbMATH DE number 4027225