A game with three players

Dennis Sandell

Statistics & Probability Letters, 1988, vol. 7, issue 1, 61-63

Abstract: In the classical gambling problem (two players with initial capital a1 and a2, respectively) the expected time to ruin is a1a2. Here we extend this problem to three players and prove that the expected time to ruin equals (a1a2a3)/(a1 + a2 + a3 - 2).

Keywords: martingale; stopping; time (search for similar items in EconPapers)
Date: 1988
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0167-7152(88)90089-2
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:7:y:1988:i:1:p:61-63

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().