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wedrifid comments on Timeless Decision Theory: Problems I Can't Solve - Less Wrong
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And he makes a similar mistake in his consideration of the Prisoner's Dilemma. The prisoners are both attempted to maximise their (known) utility function. You aren't playing against an actively malicious agent out to steal people's lunch. You do have reason to expect agents to be more likely to follow their own self interest than not, even in cases where this isn't outright declared as part of the scenario.
Here I'm willing to grant a little more. I still claim that whether or not cooperating in the mirror match is a good strategy depends on knowing statistical information about the other players you are likely to face. On the other hand in this case, you may well have more reasonable grounds for your belief that you will see more mirror matches than matches against people who specifically try to punish those who cooperate in mirror matches.