Abstract

http://ssrn.com/abstract=563581
 
 

Citations



 


 



One Observation behind Two-Envelope Puzzles


Dov Samet


Tel Aviv University - Faculty of Management

Iddo Samet


Hebrew University of Jerusalem, Jerusalem

David Schmeidler


Tel Aviv University; Interdisciplinary Center (IDC) Herzliyah; Ohio State University (OSU)


American Mathematical Monthly, pp. 347-51, April 2004

Abstract:     
In two famous and popular puzzles a participant is required to compare two numbers of which she is shown only one. The first puzzle is known as the paradox of the double sum, the second, due to Cover is known as "which is the larger number". Although the puzzles have been discussed and explained extensively, no connection between them has been established in the literature. We show here that there is one simple principle behind these puzzles. In particular, this principle sheds new light on the paradoxical nature of the first puzzle. According to this principle the ranking of several random variables must depend on at least one of them, except for the trivial case where the ranking is constant. Thus, in the nontrivial case there must be at least one variable the observation of which conveys information about the ranking.

Keywords: envelope puzzles, double sum, order of random bariables

JEL Classification: C70, C72

Accepted Paper Series


Not Available For Download

Date posted: July 13, 2004  

Suggested Citation

Samet, Dov and Samet, Iddo and Schmeidler, David, One Observation behind Two-Envelope Puzzles. American Mathematical Monthly, pp. 347-51, April 2004. Available at SSRN: http://ssrn.com/abstract=563581

Contact Information

Dov Samet (Contact Author)
Tel Aviv University - Faculty of Management ( email )
P.O. Box 39010
Ramat Aviv, Tel Aviv, 69978
Israel
972-3-640-8024 (Phone)
972-3-640-7742 (Fax)
Iddo Samet
Hebrew University of Jerusalem, Jerusalem
Mount Scopus
Jerusalem 91905, IL 91905
Israel
David Schmeidler
Tel Aviv University ( email )
P.O. Box 39040
Ramat Aviv, Tel Aviv, 69978
Israel
+972-3-640-9643 (Phone)
+972-3-640-9357 (Fax)
Interdisciplinary Center (IDC) Herzliyah ( email )
Herzliya
Israel
Ohio State University (OSU) ( email )
Blankenship Hall-2010
901 Woody Hayes Drive
Columbus, OH OH 43210
United States
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