Anna Karenina and the two envelopes problem

@article{Gill2020AnnaKA,
  title={Anna Karenina and the two envelopes problem},
  author={Robin Gill},
  journal={Australian \& New Zealand Journal of Statistics},
  year={2020},
  volume={63}
}
  • R. Gill
  • Published 9 March 2020
  • Philosophy
  • Australian & New Zealand Journal of Statistics
The Anna Karenina principle is named after the opening sentence in the eponymous novel: Happy families are all alike; every unhappy family is unhappy in its own way. The two envelopes problem (TEP) is a much‐studied paradox in probability theory, mathematical economics, logic and philosophy. Time and again a new analysis is published in which an author claims finally to explain what actually goes wrong in this paradox. Each author (the present author included) emphasises what is new in their… 
A Festschrift for Adrian Baddeley
This article introduces a special issue of the Australian and New Zealand Journal of Statistics, being a Festschrift for Adrian Baddeley on the occasion of his 65th birthday.

References

SHOWING 1-10 OF 93 REFERENCES
A Tale of Two Envelopes
TLDR
The fallacy, in each formulation, is found in the reasoning underlying the relevant utility matrix; in both cases, the paradoxical argument goes astray before one gets to questions of probability or calculations of expected utility.
The exchange paradox: Probabilistic and cognitive analysis of a psychological conundrum
The term “exchange paradox” refers to a situation in which it appears to be advantageous for each of two holders of an envelope containing some amount of money to always exchange his or her envelope
Clark and Shackel on the Two‐Envelope Paradox
Clark and Shackel (2000) have recently argued that previous attempts to resolve the two-envelope paradox fail, and that we must look to symmetries of the relevant expected-value calculations for a
Opening Two Envelopes
TLDR
A topological representation of the two-envelope problem is presented that captures both finite and infinite cases, and it is shown that the same counterintuitive arguments can be reflected in finite versions of the problem; thus they do not inherently require reasoning about infinite values.
Is there a two-envelope paradox?
AbstractWe address the two-envelope paradox, studied over a number of years. A sta-tistical analysis is provided based on a classical inference point of view as wellas from a Bayesian perspective. In
The St. Petersburg two-envelope paradox
The Two-Envelope Paradox: I am presented with two envelopes A and B containing money, and am told that one contains twice as much as the other. I am given envelope A, and am offered the options of
Taking the Two Envelope Paradox to the Limit
The original version of the two envelope paradox is not all that paradoxical. The fact that (a) one of two sealed envelopes contains twice as much money as the other does not imply that (b) the other
One Observation behind Two-Envelope Puzzles
TLDR
There is one simple principle behind two famous and popular puzzles where a participant is required to compare two numbers of which she is shown only one that sheds new light on the paradoxical nature of the first puzzle.
The Nonidentity Problem and the Two Envelope Problem: When is One Act Better for a Person than Another?
TLDR
It is argued that the two problems proceed under the same error, imagining subjects to draw haphazardly from a potpourri of actual and expected values to generate results about betterness and harm rather than, as the authors naturally do and always should, drawing in a more discriminating way from a more orderly array.
The Two-Envelope Paradox: A Complete Analysis?
March 22, 1994 A wealthy eccentric places two envelopes in front of you. She tells you that both envelopes contain money, and that one contains twice as much as the other, but she does not tell you
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