Interesting stuff, but I'm not sure how randomization in-and-of-itself (whether of security patrols, or of travel routes, or anything else) is particularly an insight of game theory--it has been a part of security and intelligence tradecraft since (I suspect) the dawn of time.
Of course, I can see how computer-based randomization that takes into account geographic coverage, shift durations, travel times, might be a more efficient way of doing it.
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