The Two-envelope Paradox: Asymmetrical Cases

Mind 122 (485):1-26 (2013)
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Abstract

In the asymmetrical variant of the two-envelope paradox, the amount in envelope A is determined first, and then the amount in envelope B is determined to be either twice or half the amount in A by flipping a fair coin. Contra the common belief that B is preferable to A in this case, I show that the proposed arguments for this common belief all fail, and argue that B is not preferable to A if the expected values of the amounts in the envelopes are infinite. Using the examples I deploy in my arguments against the common belief, I also refute certain proposed solutions to the two-envelope paradox and draw some general lessons

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Chunghyoung Lee
Pohang University of Science and Technology

Citations of this work

Infinite Prospects.Jeffrey Sanford Russell & Yoaav Isaacs - 2021 - Philosophy and Phenomenological Research 103 (1):178-198.
Conditionals and a Two-Envelope Paradox.Byeong-Uk Yi - 2013 - Journal of Philosophy 110 (5):233-257.
An Epistemology of the Envelope.Ruthann Robson - 2021 - philoSOPHIA: A Journal of Continental Feminism 10 (2):207-225.

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References found in this work

Theories of Probability.Terrence Fine - 1973 - Academic Press.
Variables Explained Away.Willard V. Quine - 1960 - Journal of Symbolic Logic 32 (1):112-112.

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