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- W3203163906 abstract "In 1996, Mallozzi and Morgan [31] proposed a new model for bilevel games with one leader (which they called Intermediate). The leader has only partial information about how followers select their response among possible multiple optimal ones. This partial information is modeled as a decision-dependent distribution, the so-called belief of the leader. We study the existence of solutions of the model, for general bilevel games. We provide new existence results based on Rectangular Continuity, a property introduced in this work which is verified by linear lower-level problems as well as regularized lower-level problems. Finally, we explore the performance of the Differential Evolution metaheuristic on bilevel programming problems with a linear lower-level and the belief induced by uniform distributions, which we call the Neutral belief. Due to the similarity of the approach to Bayesian games, we propose to rename it as the Bayesian approach for bilevel games." @default.
- W3203163906 created "2021-10-11" @default.
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- W3203163906 date "2023-08-30" @default.
- W3203163906 modified "2023-09-25" @default.
- W3203163906 title "Existence of Solutions for Deterministic Bilevel Games under a General Bayesian Approach" @default.
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- W3203163906 doi "https://doi.org/10.1137/21m1442164" @default.
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