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You are not logged in. #1 20130121 02:49:41
Another variation to the two envelopes puzzleTwo players, A and B, are going to play a game. A perfect logician explains the terms: #2 20130121 18:44:03
Re: Another variation to the two envelopes puzzleSwapping maximizes expected gain for player A and minimizes it for B. #3 20130203 21:41:39
Re: Another variation to the two envelopes puzzleFor any amount M that A receives, there's 50%50% probability that B gets either 2M or M/2, so on average A would gain from swapping and by symmetry B would lose. But what if we apply the same logic starting from B? How does the reference to B's amount ($100) change our reasoning? #4 20130203 22:22:48
Re: Another variation to the two envelopes puzzleWell, B could either lose 25 or gain 50 by swapping, so it would be good for him to swap, too. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #5 20130203 22:37:00
Re: Another variation to the two envelopes puzzleThe correct answer is the one that muxdemux submitted but I am not sure about the reasoning for B. Why wouldn't he want to swap? #6 20130213 19:34:31
Re: Another variation to the two envelopes puzzleI think swapping provides mutual benefits to both the users. Hypothetically superposition can also be reached under special conditions. Totoring Services Last edited by mnuelreyes (20130301 01:53:11) 