Two Envelope Paradox Part 4

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This is part 4 of a lecture on the Two Envelope Paradox. In this part we return to the Two-Envelope problem after going over a few examples involving risk.
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Does this work for envelopes that have a non-multiplicative relationship? E.g. X and X + 2. In that case then the expected value of the gain from switching is zero, but the geometric average is not necessarily 1.

nicolewp