Fair gambler’s ruin stochastically maximizes playing time

Erol A. Peköz, Sheldon M. Ross

Type: Article

Publication Date: 2022-03-10

Citations: 3

DOI: https://doi.org/10.1017/apr.2021.46

Abstract

Abstract For the gambler’s ruin problem with two players starting with the same amount of money, we show the playing time is stochastically maximized when the games are fair.

Locations

Advances in Applied Probability - View - PDF

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+	Stochastic ordering results on the duration of the gambler’s ruin game	2023	Shoou-Ren Hsiau Yi‐Ching Yao

Works Cited by This (6)

Action	Title	Year	Authors
+	The Doctrine of Chances: Or, a Method of Calculating the Probability of Events in Play	2008	Abraham de Moivre
+ PDF Chat	A Note on the History of the Gambler's Ruin Problem	2013	Seongjoo Song Jongwoo Song
+	Gambler’s Ruin: The Duration of Play	2014	Guy Katriel
+	The probability distribution of the duration of the game in the classical ruin problem	1977	Edi Karni
+	An Introduction to Probability Theory and Its Applications	1967	David A. Freedman William Feller
+ PDF Chat	De mensura sortis, seu, de probabilitate eventuum in ludis a casu fortuito pendentibus	1710	Abraham De Moivre