  Attempts at predatory capture may provoke a defensive response that reduces
the very value of the predated resource. We provide a game-theoretic analysis
of simultaneous-move, two-player Attacker-Defender games that model such
interactions. When initial endowments are equal, Attackers win about a third of
such games in equilibrium. Under power disparities, Attackers become
particularly aggressive when they are approximately one-third poorer than
Defenders. With non-conflictual outside options Attackers become exceptionally
aggressive when their opponent has access to high-benefit, low-cost production,
and refrain from attack most when they are unilaterally provided with a
high-benefit, high-cost production option.
