Time-dependent Stackelberg Protection Location Games

We study a Stackelberg game in which a government positions rapid response teams and
thereafter a terrorist attacks a location on a line segment. We assume the damage associated
to such an attack to be time dependent. We show that there exists a subgame perfect Nash
equilibrium that balances the possible damage on all intervals of the line segment that result
from positioning the rapid response teams. We discuss implications for an instance of the
model.

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