Special classes of quiet accumulation games

Special classes of quiet accumulation games

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Article ID: iaor20042791
Country: Japan
Volume: 46
Issue: 4
Start Page Number: 487
End Page Number: 502
Publication Date: Dec 2003
Journal: Journal of the Operations Research Society of Japan
Authors: ,
Keywords: decision theory, optimization
Abstract:

In an accumulation game, a hider places objects at locations, and a seeker examines these locations. If the seeker discovers an object then he/she confiscates it. The goal of the hider is to accumulate a certain number of objects before a given time, and the goal of the seeker is to prevent this. In this paper we discuss the quiet accumulation game in which the hider is informed of the location searched on a turn only if the seeker finds an object there. We solve the case where the number of steps is 3 and the goal of the hider is to accumulate 2 objects, and the case where the number of steps is equal to the hider's goal.

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