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This paper introduces a strategy in the two envelopes problem that utilizesthe prior beliefs of two players about the amount of money that their envelopescan contain. This strategy gives them more information about the decision ofswitching they have to make when one of the envelopes is opened and the amountit contains is revealed. The player who implements this strategy can predictwhich amount is larger with a probability greater than 1/2 so that he will havea greater expected return from the game than that of the other player who willnot use the same strategy. The symmetrical case in which both players implementthe same strategy is also analyzed.

Solving the two envelopes problem with the Intermediate Amount Strategy