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Given a matroid M defined by an independence oracle on a ground set E, the Matroid Base Game is played by two players: the defender chooses a basis B and (simultaneously) the attacker chooses an element $$e \in E$$ e ∈ E . The attacker incurs a cost c(e) for choosing an element e, and if $$e \in B$$ e ∈ B then there is a probability p(e) that the attacker will detect the defender. The...
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