. - 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.
@article{BUMI_2011_9_4_3_337_0, author = {Aljo\v sa Vol\v ci\v c}, title = {A Paradox in the Two Envelope Paradox?}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {4}, year = {2011}, pages = {337-345}, zbl = {1281.60007}, mrnumber = {2906765}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_2011_9_4_3_337_0} }
Volčič, Aljoša. A Paradox in the Two Envelope Paradox?. Bollettino dell'Unione Matematica Italiana, Tome 4 (2011) pp. 337-345. http://gdmltest.u-ga.fr/item/BUMI_2011_9_4_3_337_0/
[B] | MR 872858
, Littlewood's miscellany, Cambridge University Press, 1986.[Bl] On the translation parameter problem for discrete variables, Ann. Math. Stat., 22 (1951), 391-399. | MR 43418 | Zbl 0043.13802
,[C] The Surprise Examination or Unexpected Hanging Paradox, Amer. Math. Monthly, 105, n. 1 (1998), 41-51. | MR 1614002 | Zbl 0917.03001
,[E] Monty Hall and Probability, Π in the Sky, n. 10, January 2007, 10- 11.
,[G] | MR 1132881
, Aha! Gotcha, W. H. Freeman and Company, 1982.[K]
, Mathematical recreations. George Allen Unwin ltd, London, 1943.[L] | MR 3363433 | Zbl 0051.00101
, A mathematician's Miscellany, London, Methuen Co., 1953.[Li] The Two Envelope Paradox, Amer. Math. Monthly, 101, n. 5, (1994), 417-419. | MR 1272939
,[N] PUZZLES, Journal of Economic Perspectives, 2, n. 2 (Spring 1988), 171-181.
,[P] Il paradosso delle buste, Induzioni (1994), 33-63.
,[Q] On a so-called paradox, Mind, 62 (1953), 65-?67.
,[S]
, Paradoxes in probability theory and mathematical statistics, Reidel Publishing Company, 1986.[SV] | MR 1410543 | Zbl 0867.60001
- , Three bewitching paradoxes. In: , (ed.) Topics in contemporary probability and its applications, 355-370. Bocca Raton, CRC Press, 1995.[SSS] One observation behind Two Envelope Paradox, Amer. Math. Monthly, 111, n. 4 (2004), 347-351. | MR 2057189 | Zbl 1138.00302
- - ,[Z] Loss and gain: the exchange paradox. In: , , and (ed.), Bayesian statistics 3. Proceedings of the third Valencia international meeting, 233-236. Clarendon Press, Oxford, 1988. | MR 1008039
,