EUROPT 2024
Abstract Submission

85. A generic analysis for multi-leader-disjoint followers games:  bilevel problems first

Invited abstract in session TC-3: In memory of Georg Still - part 2, stream In memory of Georg Still.

Thursday, 11:25 - 12:40
Room: M:J

Authors (first author is the speaker)

1. Gemayqzel Bouza Allende

Abstract

Multi-leader-follower Games are models which combine bilevel programming with generalized Nash games. They have attracted more and more attentionover the past few years due to their application in situations where there is competition and hierarchical relations among the individuals. In this contribution, we focus on the case in which several leaders are acting according to a generalized Nash game and each leader has a number of exclusive followers who interact through a standard Nash game between them. These models are a generalization of bilevel and single leader multi-follower games. In this contribution, the generic properties of their solutions are discussed. It should be pointed out that this analysis for bilevel problems was done in [2] and settled foundations of [1]. We also show that these properties will stay stable under small perturbations of the involved functions.

[1] D. Aussel, G. Bouza, S. Dempe and S. Lepaul: Genericity Analysis of Multi-Leader-Disjoint-Followers Game, SIAM Journal on Optimization, 31, 3, (2021), 2055-2079.

[2] G. Bouza-Allende and G. Still, Solving bilevel programs with the KKT-approach, Math. Program., 138 (2013), 309--332.

Keywords

Status: accepted

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