. - 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.
Referenze Bibliografiche
[B]
B. BOLOBÁS,
Littlewood's miscellany,
Cambridge University Press,
1986. |
MR 872858[E] I. EKELAND, Monty Hall and Probability, Π in the Sky, n. 10, January 2007, 10- 11.
[G]
M. GARDNER,
Aha! Gotcha,
W. H. Freeman and Company,
1982. |
MR 1132881[K] M. KRAÏTCHIK, Mathematical recreations. George Allen Unwin ltd, London, 1943.
[Li]
E. LINZER,
The Two Envelope Paradox,
Amer. Math. Monthly,
101, n. 5, (
1994), 417-419. |
fulltext (doi) |
MR 1272939[N] B. NALEBUFF, PUZZLES, Journal of Economic Perspectives, 2, n. 2 (Spring 1988), 171-181.
[P] G. PRODI, Il paradosso delle buste, Induzioni (1994), 33-63.
[Q] W. V. O. QUINE, On a so-called paradox, Mind, 62 (1953), 65-?67.
[S] G. J. SZÉKELY, Paradoxes in probability theory and mathematical statistics, Reidel Publishing Company, 1986.
[SV]
J. L. SNELL -
R. VANDERBEI,
Three bewitching paradoxes. In:
J. L. Snell, (ed.)
Topics in contemporary probability and its applications, 355-370. Bocca Raton,
CRC Press,
1995. |
MR 1410543 |
Zbl 0867.60001[Z]
S.L. ZABELL,
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. |
MR 1008039
Con il contributo del Ministero per i Beni e le Attività Culturali