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math.OC2025
Alignment Games
Pedro Cesar Lopes Gerum, Thomas Lidbetter
This paper introduces alignment games, a new class of zero-sum games modeling strategic interventions where effectiveness depends on alignment with an underlying hidden state. Moti…
math.OC2025
A review of minimum cost box searching games
Thomas Lidbetter
We consider a class of zero-sum search games in which a Hider hides one or more target among a set of boxes. The boxes may require differing amount of time to search, and detec…
math.OC2024
A Booby Trap Game
Thomas Lidbetter, Kyle Lin
This paper presents a booby trap game played between a defender and an attacker on a search space, which may be a compact subset of Euclidean space or a network. The defender has s…