A Paradox in the Two Envelope Paradox?

Aljoša Volčič

Bollettino dell'Unione Matematica Italiana (2011)

  • Volume: 4, Issue: 3, page 337-345
  • ISSN: 0392-4041

Abstract

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. - We describe accurately the history of the two envelope paradox. We also formulate a new version of SchrÈodinger's paradox which reveals a close connection between the two sorts of paradoxes. Finally, we show that built into the most popular version of the two envelope paradox there is a logical paradox reminiscent of the unexpected hanging paradox.

How to cite

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Volčič, Aljoša. "A Paradox in the Two Envelope Paradox?." Bollettino dell'Unione Matematica Italiana 4.3 (2011): 337-345. <http://eudml.org/doc/290711>.

@article{Volčič2011,
abstract = {. - We describe accurately the history of the two envelope paradox. We also formulate a new version of SchrÈodinger's paradox which reveals a close connection between the two sorts of paradoxes. Finally, we show that built into the most popular version of the two envelope paradox there is a logical paradox reminiscent of the unexpected hanging paradox.},
author = {Volčič, Aljoša},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {337-345},
publisher = {Unione Matematica Italiana},
title = {A Paradox in the Two Envelope Paradox?},
url = {http://eudml.org/doc/290711},
volume = {4},
year = {2011},
}

TY - JOUR
AU - Volčič, Aljoša
TI - A Paradox in the Two Envelope Paradox?
JO - Bollettino dell'Unione Matematica Italiana
DA - 2011/10//
PB - Unione Matematica Italiana
VL - 4
IS - 3
SP - 337
EP - 345
AB - . - We describe accurately the history of the two envelope paradox. We also formulate a new version of SchrÈodinger's paradox which reveals a close connection between the two sorts of paradoxes. Finally, we show that built into the most popular version of the two envelope paradox there is a logical paradox reminiscent of the unexpected hanging paradox.
LA - eng
UR - http://eudml.org/doc/290711
ER -

References

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  13. SNELL, J. L. - VANDERBEI, R., Three bewitching paradoxes. In: J. L. Snell, (ed.) Topics in contemporary probability and its applications, 355-370. Bocca Raton, CRC Press, 1995. Zbl0867.60001MR1410543
  14. SAMET, D. - SAMET, I. - SCHMEIDLER, D., One observation behind Two Envelope Paradox, Amer. Math. Monthly, 111, n. 4 (2004), 347-351. Zbl1138.00302MR2057189DOI10.2307/4145244
  15. ZABELL, S.L., Loss and gain: the exchange paradox. In: J. M. Bernardo, M. H. DeGroot, D. V. Lindley and A. F. M. Smith (ed.), Bayesian statistics 3. Proceedings of the third Valencia international meeting, 233-236. Clarendon Press, Oxford, 1988. MR1008039

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