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Inverse View
It is not the case that A rational agent cannot simply choose the most obviously safe option in a pursuit scenario, because an equally rational opponent will anticipate that choice.
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Reasons For
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Reason for 1 of 2
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1.
When both agents share common knowledge of rationality, mixed strategies—not pure strategies—constitute the equilibrium solution.
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2.
A rational fugitive randomizes over bridges with calculated probabilities, making any single choice unpredictable even to an equally rational pursuer.
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3.
Nash's theorem guarantees a mixed-strategy equilibrium exists here, so 'most obviously safe' is not the rational choice—but neither is pure avoidance of it.
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Reason for 2 of 2
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1.
Nozick's 'Newcomb's Problem' demonstrates that evidential and causal decision theory diverge precisely when an agent's choice is predicted by another rational agent.
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2.
If the pursuer's prediction causally depends on the fugitive's reasoning process, then no choice is rendered 'certain death' by rationality alone—only by causal dependence structures.
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3.
The claim illicitly assumes causal decision theory while the scenario's epistemic symmetry invites evidentialist reasoning, making the conclusion theory-dependent rather than universal.
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Reasons Against
1 perspective
Reason against
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1.
The pursuer is equally rational and well-informed as the fugitive.
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2.
If the fugitive chooses the safest bridge, the pursuer will predict this and wait there.
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3.
Choosing a bridge the pursuer expects raises the probability of death to certainty.
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