The search value of a set
R.J. Fokkink (TU Delft - Applied Probability)
Ken Kikuta (University of Hyogo)
David Ramsey (Wrocław University of Technology)
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Abstract
We study search games in which the hider may hide in a finite number of locations. We assume that the cost of searching these locations does not depend on the order in which the locations are searched. From these assumptions we derive that the cost function is submodular, thus placing search games with an immobile hider in the context of coalitional games.