The symmetric <i>4</i>-Player gambler’s problem with unequal initial stakes-Reference-Cited by-同舟云学术

The symmetric 4-Player gambler’s problem with unequal initial stakes

Published:2022-12-01 Issue:6 Volume:72 Page:1641-1646
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Hussain Abid¹,Cheema Salman A.²

Affiliation:

1. Department of Statistics Govt. College Khayaban-e-Sir Syed Rawalpindi Pakistan

2. Department of Applied Sciences National Textile University Faisalabad Pakistan

Abstract

Abstract This research advances the 4-player gambler’s ruin problem for the case of arbitrary initial stakes. The aim of the research is attained by offering simple expressions using the difference equation approach and thus providing closed form solution to the problem. Moreover, the existing technique of Chang [A game with four players, Statist. Probab. Lett. 23(2) (1995), 111–115] dealing with equal initial stakes is demonstrated as a sub-case of the newly devised scheme. The legitimacy of the proposed formulation is further verified by considering various parametric settings.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2022-0113/pdf

Reference17 articles.

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5. FELLER, W.: An Introduction to Probability Theory and its Applications, vol. I., John Wiley & Sons, New York, 1968.